start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=153 end-page=165 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The d-Smith sets of direct products of dihedral groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let G be a ?nite group and let V and W be real G-modules. We call V and W dim-equivalent if for each subgroup H of G, the H-?xed point sets of V and W have the same dimension. We call V and W are Smith equivalent if there is a smooth G-action on a homotopy sphere ƒ° with exactly two G-?xed points, say a and b, such that the tangential G-representations at a and b of ƒ° are respectively isomorphic to V and W . Moreover, We call V and W are d-Smith equivalent if they are dim-equivalent and Smith equivalent. The di?erences of d-Smith equivalent real G-modules make up a subset, called the d-Smith set, of the real representation ring RO(G). We call V and W P(G)-matched if they are isomorphic whenever the actions are restricted to subgroups with prime power order of G. Let N be a normal subgroup. For a subset F of G, we say that a real G-module is F-free if the H-?xed point set of the G-module is trivial for all elements H of F. We study the d-Smith set by means of the submodule of RO(G) consisting of the di?erences of dim-equivalent, P(G)-matched, {N}-free real G-modules. In particular, we give a rank formula for the submodule in order to see how the d-Smith set is large. en-copyright= kn-copyright= en-aut-name=SeitaKohei en-aut-sei=Seita en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=Real G-module kn-keyword=Real G-module en-keyword=Smith equivalence kn-keyword=Smith equivalence en-keyword=representation ring kn-keyword=representation ring en-keyword=Oliver group kn-keyword=Oliver group END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=201 end-page=217 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Linear stability of radially symmetric equilibrium solutions to the singular limit problem of three-component activator-inhibitor model en-subtitle= kn-subtitle= en-abstract= kn-abstract=We show linear stability or instability for radially symmet-ric equilibrium solutions to the system of interface equation and two parabolic equations arising in the singular limit of three-component activator-inhibitor models. en-copyright= kn-copyright= en-aut-name=KojimaTakuya en-aut-sei=Kojima en-aut-mei=Takuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OshitaYoshihito en-aut-sei=Oshita en-aut-mei=Yoshihito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate school of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=singular limit problem kn-keyword=singular limit problem en-keyword=equilibrium solutions kn-keyword=equilibrium solutions en-keyword=linear stability kn-keyword=linear stability END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=183 end-page=199 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On H-epimorphisms and co-H-sequences in two-sided Harada rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=In [8] M. Harada studied a left artinian ring R such that every non-small left R-module contains a non-zero injective submodule. And in [13] K. Oshiro called the ring a left Harada ring (abbreviated left H-ring). We can see many results on left Harada rings in [6] and many equivalent conditions in [4, Theorem B]. In this paper, to characterize two-sided Harada rings, we intruduce new concepts gco-H-sequenceh and gH-epimorphismh and study them. en-copyright= kn-copyright= en-aut-name=BabaYoshitomo en-aut-sei=Baba en-aut-mei=Yoshitomo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Education Osaka Kyoiku University kn-affil= en-keyword=Harada ring kn-keyword=Harada ring en-keyword=Artinian ring kn-keyword=Artinian ring END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=53 end-page=60 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Remark on a Paper by Izadi and Baghalaghdam about Cubes and Fifth Powers Sums en-subtitle= kn-subtitle= en-abstract= kn-abstract= In this paper, we re?ne the method introduced by Izadi and Baghalaghdam to search integer solutions to the Diophantine equation. We show that the Diophantine equation has in?nitely many positive solutions. en-copyright= kn-copyright= en-aut-name=IokibeGaku en-aut-sei=Iokibe en-aut-mei=Gaku kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Osaka University kn-affil= en-keyword=Diophantine equations kn-keyword=Diophantine equations en-keyword=Elliptic Curves kn-keyword=Elliptic Curves END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=15 end-page=52 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, the simply and pseudo isotropic geometries are the study of a three-dimensional space equipped with a rank 2 metric of index zero and one, respectively. We show that the one-parameter subgroups of isotropic rigid motions lead to seven types of invariant surfaces, which then generalizes the study of revolution and helicoidal surfaces in Euclidean and Lorentzian spaces to the context of singular metrics. After computing the two fundamental forms of these surfaces and their Gaussian and mean curvatures, we solve the corresponding problem of prescribed curvature for invariant surfaces whose generating curves lie on a plane containing the degenerated direction. en-copyright= kn-copyright= en-aut-name=da SilvaLuiz C. B. en-aut-sei=da Silva en-aut-mei=Luiz C. B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Physics of Complex Systems, Weizmann Institute of Science kn-affil= en-keyword=Simply isotropic space kn-keyword=Simply isotropic space en-keyword=pseudo-isotropic space kn-keyword=pseudo-isotropic space en-keyword=singular metric kn-keyword=singular metric en-keyword=invariant surface kn-keyword=invariant surface en-keyword=prescribed Gaussian curvature kn-keyword=prescribed Gaussian curvature en-keyword=prescribed mean curvature kn-keyword=prescribed mean curvature END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=123 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Differential operators on modular forms associated to Jacobi forms en-subtitle= kn-subtitle= en-abstract= kn-abstract=Given Jacobi forms, we determine associated Jacobi-like forms, whose coe?cients are quasimodular forms. We then use these quasimodular forms to construct di?erential operators on modular forms, which are expressed in terms of the Fourier coe?cients of the given Jacobi forms. en-copyright= kn-copyright= en-aut-name=LeeMin Ho en-aut-sei=Lee en-aut-mei=Min Ho kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Northern Iowa kn-affil= en-keyword=Jacobi forms kn-keyword=Jacobi forms en-keyword=Jacobi-like forms kn-keyword=Jacobi-like forms en-keyword=modular forms kn-keyword=modular forms en-keyword=quasimodular forms kn-keyword=quasimodular forms END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=167 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On pg-ideals en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let (A, m) be an excellent normal domain of dimension two. We de?ne an m-primary ideal I to be a pg -ideal if the Rees algebra A[It] is a Cohen-Macaulay normal domain. If A has in?nite residue ?eld then it follows from a result of Rees that the product of two pg ideals is pg . When A contains an algebraically closed ?eld k ?= A/m then Okuma, Watanabe and Yoshida proved that A has pg -ideals and furthermore product of two pg -ideals is a pg ideal. In this article we show that if A is an excellent normal domain of dimension two containing a ?eld k ?= A/m of characteristic zero then also A has pg -ideals. en-copyright= kn-copyright= en-aut-name=PuthenpurakalTony J. en-aut-sei=Puthenpurakal en-aut-mei=Tony J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, IIT Bombay kn-affil= en-keyword=pg -ideal kn-keyword=pg -ideal en-keyword=normal Rees rings kn-keyword=normal Rees rings en-keyword=Cohen-Macaulay rings kn-keyword=Cohen-Macaulay rings en-keyword=stable ideals kn-keyword=stable ideals END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=87 end-page=105 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A weak Euler formula for l-adic Galois double zeta values en-subtitle= kn-subtitle= en-abstract= kn-abstract=The fact that the double zeta values ƒÄ(n, m) can be written in terms of zeta values, whenever n+m is odd is attributed to Euler. We shall show the weak version of this result for the l-adic Galois realization. en-copyright= kn-copyright= en-aut-name=Zdzis?awWojtkowiak en-aut-sei=Zdzis?aw en-aut-mei=Wojtkowiak kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Universit? de Nice-Sophia Antipolis, D?artement de Math ?matiques Laboratoire Jean Alexandre Dieudonn? kn-affil= en-keyword=multiple zeta values kn-keyword=multiple zeta values en-keyword=Galois groups kn-keyword=Galois groups en-keyword=fundamental groups kn-keyword=fundamental groups END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=133 end-page=151 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Rectangular Hall-Littlewood symmetric functions and a specific spin character en-subtitle= kn-subtitle= en-abstract= kn-abstract=We derive the Schur function identities coming from the tensor products of the spin representations of the symmetric group Sn. We deal with the tensor products of the basic spin representation V (n) and any spin representation V ƒÉ (ƒÉ ¸ SP (n)). The characteristic map of the tensor product ƒÄn ? ƒÄƒÉ is described by Stembridge[4] for the case of odd n. We consider the case n is even. en-copyright= kn-copyright= en-aut-name=AokageKazuya en-aut-sei=Aokage en-aut-mei=Kazuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, National Institute of Technology, Ariake College kn-affil= en-keyword=symmetric group kn-keyword=symmetric group en-keyword=symmetric function kn-keyword=symmetric function en-keyword=projective representation kn-keyword=projective representation END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=61 end-page=86 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Defining relations of 3-dimensional quadratic AS-regular algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=Classi?cation of AS-regular algebras is one of the main interests in non-commutative algebraic geometry. Recently, a complete list of superpotentials (de?ning relations) of all 3-dimensional AS-regular algebras which are Calabi-Yau was given by Mori-Smith (the quadratic case) and Mori-Ueyama (the cubic case), however, no complete list of de?ning relations of all 3-dimensional AS-regular algebras has not appeared in the literature. In this paper, we give all possible de?ning relations of 3-dimensional quadratic AS-regular algebras. Moreover, we classify them up to isomorphism and up to graded Morita equivalence in terms of their de?ning relations in the case that their point schemes are not elliptic curves. In the case that their point schemes are elliptic curves, we give conditions for isomorphism and graded Morita equivalence in terms of geometric data. en-copyright= kn-copyright= en-aut-name=ItabaAyako en-aut-sei=Itaba en-aut-mei=Ayako kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MatsunoMasaki en-aut-sei=Matsuno en-aut-mei=Masaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, faculty of Science, Tokyo University of Science kn-affil= affil-num=2 en-affil=Graduate School of Science and Technology, Shizuoka University kn-affil= en-keyword=AS-regular algebras kn-keyword=AS-regular algebras en-keyword=geometric algebras kn-keyword=geometric algebras en-keyword=quadratic algebras kn-keyword=quadratic algebras en-keyword=nodal cubic curves kn-keyword=nodal cubic curves en-keyword=elliptic curves kn-keyword=elliptic curves en-keyword=Hesse form kn-keyword=Hesse form en-keyword=Sklyanin algebras kn-keyword=Sklyanin algebras END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=107 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on products in stable homotopy groups of spheres via the classical Adams spectral sequence en-subtitle= kn-subtitle= en-abstract= kn-abstract=In recent years, Liu and his collaborators found many non-trivial products of generators in the homotopy groups of the sphere spectrum. In this paper, we show a result which not only implies most of their results, but also extends a result of theirs. en-copyright= kn-copyright= en-aut-name=KatoRyo en-aut-sei=Kato en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Shimomurakatsumi en-aut-sei=Shimomura en-aut-mei=katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Faculty of Fundamental Science, National Institute of Technology, Niihama College kn-affil= affil-num=2 en-affil=Department of Mathematics, faculty of Science and Technology, Kochi University kn-affil= en-keyword=Stable homotopy of spheres kn-keyword=Stable homotopy of spheres en-keyword=Adams spectral sequence kn-keyword=Adams spectral sequence en-keyword=May spectral sequence kn-keyword=May spectral sequence END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=175 end-page=182 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On some families of invariant polynomials divisible by three and their zeta functions en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this note, we establish an analog of the Mallows-Sloane bound for Type III formal weight enumerators. This completes the bounds for all types (Types I through IV) in synthesis of our previous results. Next we show by using the binomial moments that there exists a family of polynomials divisible by three, which are not related to linear codes but are invariant under the MacWilliams transform for the value 3/2. We also discuss some properties of the zeta functions for such polynomials. en-copyright= kn-copyright= en-aut-name=ChinenKoji en-aut-sei=Chinen en-aut-mei=Koji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, School of Science and Engineering, Kindai University kn-affil= en-keyword=Binomial moment kn-keyword=Binomial moment en-keyword=Divisible code kn-keyword=Divisible code en-keyword=Invariant polynomial ring kn-keyword=Invariant polynomial ring en-keyword=Zeta function for codes kn-keyword=Zeta function for codes en-keyword=Riemann hypothesis kn-keyword=Riemann hypothesis END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=1 end-page=14 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the stability, boundedness, and square integrability of solutions of third order neutral delay differential equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, su?cient conditions are established for the stability, boundedness and square integrability of solutions for some non-linear neutral delay di?erential equations of third order. Lyapunovfs direct method is used to obtain the results. en-copyright= kn-copyright= en-aut-name=GraefJohn R. en-aut-sei=Graef en-aut-mei=John R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BeldjerdDjamila en-aut-sei=Beldjerd en-aut-mei=Djamila kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=RemiliMoussadek en-aut-sei=Remili en-aut-mei=Moussadek kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Tennessee at Chattanooga kn-affil= affil-num=2 en-affil=Oranfs High School of Electrical Engineering and Energetics kn-affil= affil-num=3 en-affil=Department of Mathematics, University of Oran 1 Ahmed Ben Bella kn-affil= en-keyword=boundedness kn-keyword=boundedness en-keyword=stability kn-keyword=stability en-keyword=square integrability kn-keyword=square integrability END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=1 end-page=25 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A representation for algebraic K-theory of quasi-coherent modules over affine spectral schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract= In this paper, we study K-theory of spectral schemes by using locally free sheaves. Let us regard the K-theory as a functor K on affine spectral schemes. Then, we prove that the group completion ?BG(BGGL) represents the sheafification of K with respect to Zariski (resp. Nisnevich) topology G, where BGGL is a classifying space of a colimit of affine spectral schemes GLn. en-copyright= kn-copyright= en-aut-name=OharaMariko en-aut-sei=Ohara en-aut-mei=Mariko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences Shinshu University kn-affil= en-keyword=Infinity category kn-keyword=Infinity category en-keyword=Derived algebraic geometry kn-keyword=Derived algebraic geometry en-keyword= K-theory kn-keyword= K-theory END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=87 end-page=178 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Crystal interpretation of a formula on the branching rule of types Bn, Cn, and Dn en-subtitle= kn-subtitle= en-abstract= kn-abstract=The branching coefficients of the tensor product of finite-dimensional irreducible Uq(g)-modules, where g is so(2n + 1, C) (Bn-type), sp(2n,C) (Cn-type), and so(2n,C) (Dn-type), are expressed in terms of Littlewood-Richardson (LR) coefficients in the stable region. We give an interpretation of this relation by Kashiwarafs crystal theory by providing an explicit surjection from the LR crystal of type Cn to the disjoint union of Cartesian product of LR crystals of An?1-type and by proving that LR crystals of types Bn and Dn are identical to the corresponding LR crystal of type Cn in the stable region. en-copyright= kn-copyright= en-aut-name=HiroshimaToya en-aut-sei=Hiroshima en-aut-mei=Toya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University kn-affil= en-keyword=Kashiwara crystals kn-keyword=Kashiwara crystals en-keyword=Littlewood-Richardson crystals kn-keyword=Littlewood-Richardson crystals en-keyword=Kashiwara-Nakashima tableaux kn-keyword=Kashiwara-Nakashima tableaux en-keyword=Branching rule kn-keyword=Branching rule END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=27 end-page=86 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Unstable higher Toda brackets en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OshimaHideaki en-aut-sei=Oshima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OshimaKatsumi en-aut-sei=Oshima en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Ibaraki University kn-affil= affil-num=2 en-affil= kn-affil= en-keyword=Toda bracket kn-keyword=Toda bracket en-keyword=Unstable higher Toda bracket kn-keyword=Unstable higher Toda bracket en-keyword=Higher composition kn-keyword=Higher composition en-keyword=Cofibration kn-keyword=Cofibration en-keyword=Coextension kn-keyword=Coextension en-keyword=Extension kn-keyword=Extension END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=197 end-page=210 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Existence and stability of stationary solutions to the Allen-Cahn equation discretized in space and time en-subtitle= kn-subtitle= en-abstract= kn-abstract= The existence and stability of the Allen?Cahn equation discretized in space and time are studied in a finite spatial interval. If a parameter is less than or equals to a critical value, the zero solution is the only stationary solution. If the parameter is larger than the critical value, one has a positive stationary solution and this positive stationary solution is asymptotically stable. en-copyright= kn-copyright= en-aut-name=Amy Poh Ai Ling en-aut-sei=Amy Poh Ai Ling en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TaniguchiMasaharu en-aut-sei=Taniguchi en-aut-mei=Masaharu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Division of Mathematics and Physics, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= en-keyword=Allen?Cahn equation kn-keyword=Allen?Cahn equation en-keyword=stationary solution kn-keyword=stationary solution en-keyword=comparison theorem kn-keyword=comparison theorem en-keyword=discretized kn-keyword=discretized END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=179 end-page=195 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space en-subtitle= kn-subtitle= en-abstract= kn-abstract= Catenoids in de Sitter 3-space S31 belong to a certain class of space-like constant mean curvature one surfaces. In a previous work, the authors classified such catenoids, and found that two different classes of countably many exceptional elliptic catenoids are not realized as closed subsets in S31 . Here we show that such exceptional catenoids have closed analytic extensions in S31 with interesting properties. en-copyright= kn-copyright= en-aut-name=FujimoriShoichi en-aut-sei=Fujimori en-aut-mei=Shoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KawakamiYu en-aut-sei=Kawakami en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KokubuMasatoshi en-aut-sei=Kokubu en-aut-mei=Masatoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=RossmanWayne en-aut-sei=Rossman en-aut-mei=Wayne kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=UmeharaMasaaki en-aut-sei=Umehara en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=YamadaKotaro en-aut-sei=Yamada en-aut-mei=Kotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= affil-num=1 en-affil=Department of Mathematics, Hiroshima University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Kanazawa University kn-affil= affil-num=3 en-affil=Department of Mathematics, School of Engineering, Tokyo Denki University kn-affil= affil-num=4 en-affil=Department of Mathematics, Faculty of Science, Kobe University kn-affil= affil-num=5 en-affil=Department of Mathematical and Computing Sciences, Tokyo Institute of Technology kn-affil= affil-num=6 en-affil=Department of Mathematics, Tokyo Institute of Technology kn-affil= en-keyword=constant mean curvature kn-keyword=constant mean curvature en-keyword=de Sitter space kn-keyword=de Sitter space en-keyword=analytic extension kn-keyword=analytic extension END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=187 end-page=198 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Passage of property (Bw) from two operators to their tensor product en-subtitle= kn-subtitle= en-abstract= kn-abstract= A Banach space operator satisfies property (Bw) if the complement of its B-Weyl spectrum in its the spectrum is the set of finite multiplicity isolated eigenvalues of the operator. Property (Bw) does not transfer from operators T and S to their tensor product T ? S. We give necessary and /or sufficient conditions ensuring the passage of property (Bw) from T and S to T ? S. Perturbations by Riesz operators are considered. en-copyright= kn-copyright= en-aut-name=RashidM.H.M. en-aut-sei=Rashid en-aut-mei=M.H.M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics& Statistics Faculty of Science P.O.Box(7) Muftah University kn-affil= en-keyword=property (Bw) kn-keyword=property (Bw) en-keyword=SVEP kn-keyword=SVEP en-keyword=tensor product kn-keyword=tensor product END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=99 end-page=128 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Complex interpolation of smoothness Triebel-Lizorkin-Morrey spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= This paper extends the result in [8] to Triebel-Lizorkin-Morrey spaces which contains 4 parameters p, q, r, s. This paper reinforces our earlier paper [8] by Nakamura, the first and the third authors in two different directions. First, we include the smoothness parameter s and the second smoothness parameter r. In [8] we assumed s = 0 and r = 2. Here we relax the conditions on s and r to s ¸ R and 1 < r ? ‡. Second, we apply a formula obtained by Bergh in 1978 to prove our main theorem without using the underlying sequence spaces. en-copyright= kn-copyright= en-aut-name=HakimDenny Ivanal en-aut-sei=Hakim en-aut-mei=Denny Ivanal kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NogayamaToru en-aut-sei=Nogayama en-aut-mei=Toru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SawanoYoshihiro en-aut-sei=Sawano en-aut-mei=Yoshihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Mathematics and Information Sciences, Tokyo Metropolitan University kn-affil= affil-num=2 en-affil=Department of Mathematics and Information Sciences, Tokyo Metropolitan University kn-affil= affil-num=3 en-affil=Department of Mathematics and Information Sciences, Tokyo Metropolitan University kn-affil= en-keyword=smoothness Morrey spaces kn-keyword=smoothness Morrey spaces en-keyword=Triebel-Lizorkin-Morrey spaces kn-keyword=Triebel-Lizorkin-Morrey spaces en-keyword=complex interpolation kn-keyword=complex interpolation en-keyword=square function kn-keyword=square function END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=37 end-page=73 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Reconstruction of inertia groups associated to log divisors from a configuration space group equipped with its collection of log-full subgroups en-subtitle= kn-subtitle= en-abstract= kn-abstract= In the present paper, we study configuration space groups. The goal of this paper is to reconstruct group-theoretically the inertia groups associated to various types of log divisors of a log configuration space of a smooth log curve from the associated configuration space group equipped with its collection of log-full subgroups. en-copyright= kn-copyright= en-aut-name=HigashiyamaKazumi en-aut-sei=Higashiyama en-aut-mei=Kazumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences Kyoto University kn-affil= en-keyword=anabelian geometry kn-keyword=anabelian geometry en-keyword=configuration space kn-keyword=configuration space en-keyword= log divisor kn-keyword= log divisor en-keyword= log-full subgroup kn-keyword= log-full subgroup END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=85 end-page=98 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the structure of the profile of finite connected quandles en-subtitle= kn-subtitle= en-abstract= kn-abstract= We verify some cases of a conjecture by C. Hayashi on the structure of the profile of a finite connected quandle. en-copyright= kn-copyright= en-aut-name=WatanabeTaisuke en-aut-sei=Watanabe en-aut-mei=Taisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=connected quandle kn-keyword=connected quandle en-keyword=finite quandle kn-keyword=finite quandle END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=141 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cesaro Orlicz sequence spaces and their Kothe-Toeplitz duals en-subtitle= kn-subtitle= en-abstract= kn-abstract=The present paper focus on introducing certain classes of Ces?ro Orlicz sequences over n-normed spaces. We study some topological and algebraic properties of these spaces. Further, we examine relevant relations among the classes of these sequences. We show that these spaces are made n-BK-spaces under certain conditions. Finally, we compute the K?the-Toeplitz duals of these spaces. en-copyright= kn-copyright= en-aut-name=RajKuldip en-aut-sei=Raj en-aut-mei=Kuldip kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AnandRenu en-aut-sei=Anand en-aut-mei=Renu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=PandohSuruchi en-aut-sei=Pandoh en-aut-mei=Suruchi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= affil-num=2 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= affil-num=3 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= en-keyword=Orlicz function kn-keyword=Orlicz function en-keyword=Musielak-Orlicz function kn-keyword=Musielak-Orlicz function en-keyword=n-normed spaces kn-keyword=n-normed spaces en-keyword=difference sequence spaces kn-keyword=difference sequence spaces en-keyword=K?the-Toeplitz dual kn-keyword=K?the-Toeplitz dual END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=1 end-page=18 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the existence of non-finite coverings of stable curves over complete discrete valuation rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let R be a complete discrete valuation ring with algebraically residue field of characteristic p > 0 and X a stable curve over R. In the present paper, we study the geometry of coverings of X. Under certain assumptions, we prove that, by replacing R by a finite extension of R, there exists a morphism of stable curves f : Y ¨ X over R such that the morphism fƒÅ : YƒÅ ¨ XƒÅ induced by f on generic fibers is finite ?tale and the morphism fs : Ys ¨ Xs induced by f on special fibers is non-finite. en-copyright= kn-copyright= en-aut-name=YangYu en-aut-sei=Yang en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences Kyoto University kn-affil= en-keyword=stable curve kn-keyword=stable curve en-keyword=stable covering kn-keyword=stable covering en-keyword=vertical point kn-keyword=vertical point en-keyword=admissible covering kn-keyword=admissible covering END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=75 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Diophantine equation in the form that a sum of cubes equals a sum of quintics en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IzadiFarzali en-aut-sei=Izadi en-aut-mei=Farzali kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BaghalaghdamMehdi en-aut-sei=Baghalaghdam en-aut-mei=Mehdi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Mehdi Baghalaghdam Department of Mathematics Faculty of Science Azarbaijan Shahid Madani University kn-affil= affil-num=2 en-affil=Mehdi Baghalaghdam Department of Mathematics Faculty of Science Azarbaijan Shahid Madani University kn-affil= en-keyword=Diophantine equations kn-keyword=Diophantine equations en-keyword=Cubes kn-keyword=Cubes en-keyword=Quintics kn-keyword=Quintics en-keyword=Elliptic curves kn-keyword=Elliptic curves en-keyword=Rank kn-keyword=Rank END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=19 end-page=35 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Berezin-Weyl quantization of Heisenberg motion groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= We introduce a SchrNodinger model for the generic representations of a Heisenberg motion group and we construct adapted Weyl correspondences for these representations by adapting the method introduced in [ B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177-190]. en-copyright= kn-copyright= en-aut-name=CahenBenjamin en-aut-sei=Cahen en-aut-mei=Benjamin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=DLepartement de mathLematiques UniversitLe de Lorraine kn-affil= en-keyword=Weyl correspondence kn-keyword=Weyl correspondence en-keyword=Berezin quantization kn-keyword=Berezin quantization en-keyword=Heisenberg motion group kn-keyword=Heisenberg motion group en-keyword=SchrNodinger representation kn-keyword=SchrNodinger representation en-keyword=Bargmann-Fock representation kn-keyword=Bargmann-Fock representation en-keyword=Segal-Bargmann transform kn-keyword=Segal-Bargmann transform en-keyword=unitary representation kn-keyword=unitary representation en-keyword=coadjoint orbit kn-keyword=coadjoint orbit END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=167 end-page=172 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Factorization of 2 and 3 in Cyclic Quartic Fields en-subtitle= kn-subtitle= en-abstract= kn-abstract= Due to a theorem of Dedekind, factoring ideals generated by prime numbers in number fields is easily done given that said prime number does not divide the index of the field. In this paper, we determine the prime ideal factorizations of both 2 and 3 in cyclic quartic fields whose index is divisible by one of or both of these primes. en-copyright= kn-copyright= en-aut-name=BrownStephen C. en-aut-sei=Brown en-aut-mei=Stephen C. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=DavisChad T. en-aut-sei=Davis en-aut-mei=Chad T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia kn-affil= affil-num=2 en-affil=Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia kn-affil= en-keyword=Cyclic quartic field kn-keyword=Cyclic quartic field en-keyword=Prime ideal factorization kn-keyword=Prime ideal factorization END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=129 end-page=139 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems en-subtitle= kn-subtitle= en-abstract= kn-abstract= We prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function. en-copyright= kn-copyright= en-aut-name=ShimenoNobukazu en-aut-sei=Shimeno en-aut-mei=Nobukazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=School of Science and Technology Kwansei Gakuin University kn-affil= en-keyword=root system kn-keyword=root system en-keyword=hypergeometric function kn-keyword=hypergeometric function en-keyword=Whittaker function kn-keyword=Whittaker function END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=199 end-page=204 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Terwilliger Algebras of Some Group Association Schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract= The Terwilliger algebra plays an important role in the theory of association schemes. The present paper gives the explicit structures of the Terwilliger algebras of the group association schemes of the finite groups PSL(2, 7), A6, and S6. en-copyright= kn-copyright= en-aut-name=HamidNur en-aut-sei=Hamid en-aut-mei=Nur kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OuraManabu en-aut-sei=Oura en-aut-mei=Manabu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Faculty of Mathematics and Physics, Kanazawa University kn-affil= affil-num=2 en-affil=Faculty of Mathematics and Physics, Kanazawa University kn-affil= en-keyword=Terwilliger algebragroup association scheme kn-keyword=Terwilliger algebragroup association scheme END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=159 end-page=166 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The number of simple modules in a block with Klein four hyperfocal subgroup en-subtitle= kn-subtitle= en-abstract= kn-abstract= A 2-block of a finite group having a Klein four hyperfocal subgroup has the same number of irreducible Brauer characters as the corresponding 2-block of the normalizer of the hyperfocal subgroup. en-copyright= kn-copyright= en-aut-name=TasakaFuminori en-aut-sei=Tasaka en-aut-mei=Fuminori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=National Institute of Technology Tsuruoka College kn-affil= en-keyword=group theory kn-keyword=group theory en-keyword=modular representation kn-keyword=modular representation en-keyword=hyperfocal subgroup kn-keyword=hyperfocal subgroup END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=173 end-page=186 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the classification of ruled minimal surfaces in pseudo-Euclidean space en-subtitle= kn-subtitle= en-abstract= kn-abstract= This paper gives, in generic situations, a complete classification of ruled minimal surfaces in pseudo-Euclidean space with arbitrary index. In addition, we discuss the condition for ruled minimal surfaces to exist, and give a counter-example on the problem of Bernstein type. en-copyright= kn-copyright= en-aut-name=SatoYuichiro en-aut-sei=Sato en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences Tokyo Metropolitan University kn-affil= en-keyword=minimal surface kn-keyword=minimal surface en-keyword=ruled surface kn-keyword=ruled surface en-keyword=pseudo-Euclidean space kn-keyword=pseudo-Euclidean space END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=165 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An alternative proof of some results on the framed bordism classes of low rank simple Lie groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=We present a uni?ed proof of some known results on the framed bordism classes of low rank simple Lie groups. en-copyright= kn-copyright= en-aut-name=MinamiHaruo en-aut-sei=Minami en-aut-mei=Haruo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Nara University of Education kn-affil= en-keyword=framed manifolds kn-keyword=framed manifolds en-keyword=simple Lie groups kn-keyword=simple Lie groups en-keyword=stable homotopy groups kn-keyword=stable homotopy groups END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=175 end-page=208 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Indecomposability of various profinite groups arising from hyperbolic curves en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we prove that the etale fundamental group of a hyperbolic curve over an arithmetic field [e.g., a finite extension field of Q or Qp] or an algebraically closed field is indecomposable [i.e., cannot be decomposed into the direct product of nontrivial profinite groups]. Moreover, in the case of characteristic zero, we also prove that the etale fundamental group of the configuration space of a curve of the above type is indecomposable. Finally, we consider the topic of indecomposability in the context of the comparison of the absolute Galois group of Q with the Grothendieck-Teichmuller group GT and pose the question: Is GT indecomposable? We give an affirmative answer to a pro-l version of this question en-copyright= kn-copyright= en-aut-name=MinamideArata en-aut-sei=Minamide en-aut-mei=Arata kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences Kyoto University kn-affil= en-keyword=indecomposability kn-keyword=indecomposability en-keyword=etale fundamental group kn-keyword=etale fundamental group en-keyword=hyperbolic curve kn-keyword=hyperbolic curve en-keyword=con?guration space kn-keyword=con?guration space en-keyword=Grothendieck-Teichmuller group kn-keyword=Grothendieck-Teichmuller group END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=233 end-page=240 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the profinite abelian Beckmann-Black problem en-subtitle= kn-subtitle= en-abstract= kn-abstract=The main topic of this paper is to generalize the problem of Beckmann-Black for pro?nite groups. We introduce the Beckmann-Black problem for complete systems of ?finite groups and for unramified extensions. We prove that every Galois extension of profi?nite abelian group over a ƒÕ-free fi?eld is the specialization of some tower of regular Galois extensions of the same group. en-copyright= kn-copyright= en-aut-name=GhaziNour en-aut-sei=Ghazi en-aut-mei=Nour kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=University of Damascus, Faculty of Sciences, Department of Mathematics kn-affil= en-keyword=Inverse Galois theory kn-keyword=Inverse Galois theory en-keyword=algebraic covers kn-keyword=algebraic covers END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=109 end-page=135 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on a central limit theorem for non-symmetric random walks on crystal lattices en-subtitle= kn-subtitle= en-abstract= kn-abstract=Recently, Ishiwata, Kawabi and Kotani [4] proved two kinds of central limit theorems for non-symmetric random walks on crystal lattices from the view point of discrete geometric analysis developed by Kotani and Sunada. In the present paper, we establish yet another kind of the central limit theorem for them. Our argument is based on a measure-change technique due to Alexopoulos [1]. en-copyright= kn-copyright= en-aut-name=NambaRyuya en-aut-sei=Namba en-aut-mei=Ryuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Natural Sciences, Okayama University kn-affil= en-keyword=crystal lattice kn-keyword=crystal lattice en-keyword=central limit theorem kn-keyword=central limit theorem en-keyword=non-symmetric random walk kn-keyword=non-symmetric random walk en-keyword=(modi?ed) harmonic realization kn-keyword=(modi?ed) harmonic realization END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=155 end-page=164 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Arithmetic of positive integers having prime sums of complementary divisors en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study a class of integers called SP numbers (Sum Prime numbers). An SP number is by de?nition a positive integer d that gives rise to a prime number (a + b)=gcd(4; 1 + d) from every factorization d = ab. We also discuss properties of SP numbers in relations with arithmetic of imaginary quadratic ?elds (least split primes, exponents of ideal class groups). Further we point out that special cases of SP numbers provide the problems of distribution of prime numbers (twin primes, Sophi-Germain primes, quadratic progressions). Finally, we consider the problem whether there exist in?nitely many SP numbers. en-copyright= kn-copyright= en-aut-name=ShimizuKenichi en-aut-sei=Shimizu en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=SP number kn-keyword=SP number en-keyword=prime number kn-keyword=prime number en-keyword= imaginary quadratic fi?eld kn-keyword= imaginary quadratic fi?eld END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=59 end-page=72 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Absolute continuity of the representing measures of the transmutation operators attached to the root system of type BC2 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We prove in this paper the absolute continuity of the representing measures of the transmutation operators Vk, tVk and VkW, tVkW associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type BC2. en-copyright= kn-copyright= en-aut-name=Trim?cheKhalifa en-aut-sei=Trim?che en-aut-mei=Khalifa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of sciences of Tunis University kn-affil= en-keyword=Transmutation operators kn-keyword=Transmutation operators en-keyword=Absolute continuity of the representing measures kn-keyword=Absolute continuity of the representing measures en-keyword=Cherednik operators kn-keyword=Cherednik operators en-keyword=Heckman-Opdam theory kn-keyword=Heckman-Opdam theory END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=137 end-page=153 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A non-symmetric diffusion process on the Wiener space en-subtitle= kn-subtitle= en-abstract= kn-abstract=We discuss a non-symmetric diffusion process on the Wiener space. The process we consider is generated by A = L + b, L being the Ornstein-Uhlenbeck operator and b being a vector ?eld. Under suitable integrability condition for b, we show the existence of associated diffusion process. We also investigate the domain of the generator. Further we consider a similar problem in the ?nite dimensional Euclidean space. en-copyright= kn-copyright= en-aut-name=ShigekawaIchiro en-aut-sei=Shigekawa en-aut-mei=Ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Graduate School of Science Kyoto University kn-affil= en-keyword=non-symmetric Dirichlet form kn-keyword=non-symmetric Dirichlet form en-keyword=Wiener space kn-keyword=Wiener space en-keyword=logarithmic Sobolev inequality kn-keyword=logarithmic Sobolev inequality en-keyword=generator domain kn-keyword=generator domain END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=73 end-page=89 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Stable splittings of the complex connective K-theory of BSO(2n+1) en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give the stable splittings of the complex connective K-theory of the classifying space BSO(2n + 1), n?1. en-copyright= kn-copyright= en-aut-name=WuTsung-Hsuan en-aut-sei=Wu en-aut-mei=Tsung-Hsuan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics National Tsing Hua University kn-affil= en-keyword=stable splitting kn-keyword=stable splitting en-keyword=complex connective K-theory kn-keyword=complex connective K-theory en-keyword=classifying space kn-keyword=classifying space en-keyword=Adams spectral sequence kn-keyword=Adams spectral sequence END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=91 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Primary decompositions in abelian R-categories en-subtitle= kn-subtitle= en-abstract= kn-abstract=We shall generalize the theory of primary decomposition and associated prime ideals of ?nitely generated modules over a noetherian ring to general objects in an abelian R-category where R is a noetherian commutative ring. en-copyright= kn-copyright= en-aut-name=SatoKenichi en-aut-sei=Sato en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YoshinoYuji en-aut-sei=Yoshino en-aut-mei=Yuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Natural Science and Technology Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=209 end-page=219 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Necessary and sufficient Tauberian conditions for the A^r method of summability en-subtitle= kn-subtitle= en-abstract= kn-abstract=M?ricz and Rhoades determined the necessary and sufficient Tauberian conditions for certain weighted mean methods of summability in [Acta. Math. Hungar. 102(4) (2004), 279{285]. In the present paper, we deal with the necessary and sufficient Tauberian conditions for the Ar method which was introduced by Bas?ar in [F?rat ?niv. Fen & M?h. Bil. Dergisi 5(1)(1993), 113{117]. en-copyright= kn-copyright= en-aut-name=Talo?zer en-aut-sei=Talo en-aut-mei=?zer kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Bas?arFeyzi en-aut-sei=Bas?ar en-aut-mei=Feyzi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Science and Letters Manisa Celal Bayar University kn-affil= affil-num=2 en-affil=?n?n? University kn-affil= en-keyword=Summability by Ar methods kn-keyword=Summability by Ar methods en-keyword=one-sided and two-sided Tauberian conditions kn-keyword=one-sided and two-sided Tauberian conditions en-keyword=slowly oscillating sequences kn-keyword=slowly oscillating sequences END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=1 end-page=36 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Review on higher homotopies in the theory of H-spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=Higher homotopy in the theory of H-spaces started from the works by Sugawara in the 1950th. In this paper we review the development of the theory of H-spaces associated with it. Mainly there are two types of higher homotopies, homotopy associativity and homotopy commutativity. We give explanations of the polytopes used as the parameter spaces of those higher forms. en-copyright= kn-copyright= en-aut-name=HemmiYutaka en-aut-sei=Hemmi en-aut-mei=Yutaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Science and Technology Kochi University kn-affil= en-keyword=H-space kn-keyword=H-space en-keyword=higher homotopy associativity kn-keyword=higher homotopy associativity en-keyword=An-form kn-keyword=An-form en-keyword=higher homotopy commutativity kn-keyword=higher homotopy commutativity en-keyword=associahedra kn-keyword=associahedra en-keyword=multiplihedra kn-keyword=multiplihedra en-keyword=permutohedra kn-keyword=permutohedra en-keyword=resultohedra kn-keyword=resultohedra en-keyword=permuto-associahedra kn-keyword=permuto-associahedra en-keyword=cyclohedra kn-keyword=cyclohedra END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=221 end-page=231 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A binomial-coefficient identity arising from the middle discrete series of SU(2,2) en-subtitle= kn-subtitle= en-abstract= kn-abstract=The aim of this paper is to answer the question in Remark 8.2 of Takahiro Hayata, Harutaka Koseki, and Takayuki Oda, Matrix coefficients of the middle discrete series of SU(2; 2), J. Funct. Anal. 185 (2001), 297{341, by giving an elementary proof of certain identities on binomials. en-copyright= kn-copyright= en-aut-name=HayataTakahiro en-aut-sei=Hayata en-aut-mei=Takahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=IshikawaMasao en-aut-sei=Ishikawa en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Science and Engineering, Yamagata University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=binomial-coefficient identity kn-keyword=binomial-coefficient identity en-keyword=middle discrete series kn-keyword=middle discrete series en-keyword= real semi-simple Lie groups. kn-keyword= real semi-simple Lie groups. END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=37 end-page=58 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Tomita-Takesaki theory and its application to the structure theory of factors of type III en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give a survey of Tomita-Takesaki theory and the development of analysis of structure of type III factors, which started from Tomita-Takesaki theory. en-copyright= kn-copyright= en-aut-name=MasudaToshihiko en-aut-sei=Masuda en-aut-mei=Toshihiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Mathematics, Kyushu University kn-affil= en-keyword=Tomita-Takesaki theory kn-keyword=Tomita-Takesaki theory en-keyword= type III factors kn-keyword= type III factors en-keyword= injective factors kn-keyword= injective factors END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=131 end-page=140 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Higher-dimensional absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we define and discuss higher-dimensional and absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras. In particular, we compare these with the relative notions defined by Scheja and Storch. We also prove the validity of codimension two-argument for modules over a coherent sheaf of algebras with a 2-canonical module, generalizing a result of the author. en-copyright= kn-copyright= en-aut-name=HashimotoMitsuyasu en-aut-sei=Hashimoto en-aut-mei=Mitsuyasu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Science, Okayama University kn-affil= en-keyword=canonical module kn-keyword=canonical module en-keyword=symmetric algebra kn-keyword=symmetric algebra en-keyword=Frobenius algebra kn-keyword=Frobenius algebra en-keyword=quasi-Frobenius algebra kn-keyword=quasi-Frobenius algebra en-keyword=n-canonical module kn-keyword=n-canonical module END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=149 end-page=174 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Scattering and semi-classical asymptotics for periodic Schrödinger operators with oscillating decaying potential en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the semi-classical regime (i.e., h ↘ 0), we study the effect of an oscillating decaying potential V (hy, y) on the periodic Schrödinger operator H. The potential V (x, y) is assumed to be smooth, periodic with respect to y and tends to zero as |x| → ∞. We prove the existence of O(h?n) eigenvalues in each gap of the operator H + V (hy, y). We also establish a Weyl type asymptotics formula of the counting function of eigenvalues with optimal remainder estimate. We give a weak and pointwise asymptotic expansions in powers of h of the spectral shift function corresponding to the pair (H + V (hy, y),H). Finally, under some analytic assumption on the potential V we prove the existence of shape resonances, and we give their asymptotic expansions in powers of h1/2. All our results depend on the Floquet eigenvalues corresponding to the periodic Schrödinger operator H +V (x, y), (here x is a parameter). en-copyright= kn-copyright= en-aut-name=DimassiMouez en-aut-sei=Dimassi en-aut-mei=Mouez kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Anh Tuan Duong en-aut-sei=Anh Tuan Duong en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=UniversitLe Bordeaux I, Institut de MathLematiques de Bordeaux kn-affil= affil-num=2 en-affil=Department of Mathematics, Hanoi National University of Education kn-affil= en-keyword=Periodic Schrödinger operator kn-keyword=Periodic Schrödinger operator en-keyword=oscillating potential kn-keyword=oscillating potential en-keyword=spectral shift function kn-keyword=spectral shift function en-keyword=asymptotic expansions kn-keyword=asymptotic expansions en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=117 end-page=130 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on balance equations for doubly periodic minimal surfaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=Most known examples of doubly periodic minimal surfaces in R3 with parallel ends limit as a foliation of R3 by horizontal noded planes, with the location of the nodes satisfying a set of balance equations. Conversely, for each set of points providing a balanced configuration, there is a corresponding three-parameter family of doubly periodic minimal surfaces. In this note we derive a differential equation that is equivalent to the balance equations for doubly periodic minimal surfaces. This allows for the generation of many more solutions to the balance equations, enabling the construction of increasingly complicated surfaces. en-copyright= kn-copyright= en-aut-name=ConnorPeter en-aut-sei=Connor en-aut-mei=Peter kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences, Indiana University South Bend kn-affil= en-keyword=minimal surfaces kn-keyword=minimal surfaces en-keyword=doubly periodic kn-keyword=doubly periodic en-keyword=balance equations kn-keyword=balance equations END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=21 end-page=25 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some examples of non-tidy spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=We construct a free Z2-space Xn for a positive integer n such that w1(Xn)n ≠ 0 but there is no Z2-map from S2 to Xn. en-copyright= kn-copyright= en-aut-name=MatsushitaTakahiro en-aut-sei=Matsushita en-aut-mei=Takahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Mathematical Sciences, The University of Tokyo kn-affil= END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=113 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on the Lavallee-Spearman-Williams-Yang family of quadratic fields en-subtitle= kn-subtitle= en-abstract= kn-abstract=In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D5-quintic polynomial and studied its splitting field. The present paper gives an infinite family of quadratic fields with class number divisible by 5 by using properties of its polynomial. en-copyright= kn-copyright= en-aut-name=KimKwang-Seob en-aut-sei=Kim en-aut-mei=Kwang-Seob kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KishiYasuhiro en-aut-sei=Kishi en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=School of Mathematics, Korea Institute for Advanced Study kn-affil= affil-num=2 en-affil=Department of Mathematics, Aichi University of Education kn-affil= en-keyword=Class numbers kn-keyword=Class numbers en-keyword=Quadratic fields kn-keyword=Quadratic fields en-keyword=D5-polynomials kn-keyword=D5-polynomials END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=27 end-page=40 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The degree of set-valued mappings from ANR spaces to homology spheres en-subtitle= kn-subtitle= en-abstract= kn-abstract=An admissible mapping is a set-valued mapping which has a selected pair of continuous mappings. In this paper, we study the degree of admissible mappings from ANR spaces to homology spheres and prove the uniqueness of the degree under some conditions. en-copyright= kn-copyright= en-aut-name=ShitandaYoshimi en-aut-sei=Shitanda en-aut-mei=Yoshimi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=School of political science and economics, Meiji University kn-affil= en-keyword=Gysin-Smith sequence kn-keyword=Gysin-Smith sequence en-keyword=Vietoris-Begle mapping theorem kn-keyword=Vietoris-Begle mapping theorem END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=41 end-page=70 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On a non-abelian generalization of the Bloch?Kato exponential map en-subtitle= kn-subtitle= en-abstract= kn-abstract=The present paper establishes a non-abelian generalization of the Bloch?Kato exponential map. Then, we relate p-adic polylogarithms introduced by Coleman to `-adic polylogarithms introduced by Wojtkowiak. This formula is another analog of the Coleman?Ihara formula obtained by Nakamura, Wojtkowiak, and the author. en-copyright= kn-copyright= en-aut-name=SakugawaKenji en-aut-sei=Sakugawa en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Graduate School of Science, Osaka University kn-affil= en-keyword=Bloch?Kato exponential map kn-keyword=Bloch?Kato exponential map en-keyword=Non-abelian p-adic Hodge theory kn-keyword=Non-abelian p-adic Hodge theory en-keyword=Coleman?Ihara formula kn-keyword=Coleman?Ihara formula END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=71 end-page=79 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Evaluation of convolution sums and some remarks on cusp forms of weight 4 and level 12 en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this note, we evaluate certain convolution sums and make some remarks about the Fourier coefficients of cusp forms of weight 4 for Γ0(12). We express the normalized newform of weight 4 on Γ0(12) as a linear combination of the (quasimodular) Eisenstein series (of weight 2) E2(dz), d|12 and their derivatives. Now, by comparing the work of Alaca-Alaca-Williams [1] with our results, as a consequence, we express the coefficients c1,12(n) and c3,4(n) that appear in [1, Eqs.(2.7) and (2.12)] in terms of linear combination of the Fourier coefficients of newforms of weight 4 on Γ0(6) and Γ0(12). The properties of c1,12(n) and c3,4(n) that are derived in [1] now follow from the properties of the Fourier coefficients of the newforms mentioned above. We also express the newforms as a linear combination of certain eta-quotients and obtain an identity involving eta-quotients. en-copyright= kn-copyright= en-aut-name=RamakrishhanB. en-aut-sei=Ramakrishhan en-aut-mei=B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SahuBrundaban en-aut-sei=Sahu en-aut-mei=Brundaban kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Harish-Chandra Research Institute kn-affil= affil-num=2 en-affil=School of Mathematical Sciences National Institute of Science Education and Research kn-affil= en-keyword=convolution sums of the divisor function kn-keyword=convolution sums of the divisor function en-keyword=Fourier coeffificients kn-keyword=Fourier coeffificients en-keyword=newforms of integral weight kn-keyword=newforms of integral weight END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=1 end-page=19 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Categorical characterization of strict morphisms of fs log schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study a categorical characterization of strict morphisms of fs log schemes. In particular, we prove that strictness of morphisms of fs log schemes is preserved by an arbitrary equivalence of categories between suitable categories of fs log schemes. The main result of the present paper leads us to a relatively simple alternative proof of a result on a categorical representation of fs log schemes proved by S. Mochizuki. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakayamaChikara en-aut-sei=Nakayama en-aut-mei=Chikara kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= affil-num=2 en-affil=Department of Economics, Hitotsubashi University kn-affil= en-keyword=fs log scheme kn-keyword=fs log scheme en-keyword=strict morphism kn-keyword=strict morphism en-keyword=fs log point kn-keyword=fs log point END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=175 end-page=218 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Blowup and global existence of a solution to a semilinear reaction-diffusion system with the fractional Laplacian en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we deal with the semilinear reaction diffusion system with the fractional Laplacian.

where p,q > 1 and 0 < α < 1. We study the existence of a global in time solution, the blowup of a solution, and the life span of the blowup solution to the above reaction-diffusion system for sufficiently small initial data. en-copyright= kn-copyright= en-aut-name=KakehiTomoyuki en-aut-sei=Kakehi en-aut-mei=Tomoyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OshitaYoshihito en-aut-sei=Oshita en-aut-mei=Yoshihito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=2 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=Reaction diffusion system kn-keyword=Reaction diffusion system en-keyword=fractional Laplacian kn-keyword=fractional Laplacian en-keyword=global existence kn-keyword=global existence en-keyword=blowup kn-keyword=blowup en-keyword=life span kn-keyword=life span END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=93 end-page=111 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Gauss maps of cuspidal edges in hyperbolic 3-space, with application to flat fronts en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study singularities of de Sitter Gauss map images of cuspidal edges in hyperbolic 3-space. We show relations between singularities of de Sitter Gauss map images and differential geometric properties of cuspidal edges. Moreover, we apply this result to flat fronts in hyperbolic 3-space. en-copyright= kn-copyright= en-aut-name=OgataYuta en-aut-sei=Ogata en-aut-mei=Yuta kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TeramotoKeisuke en-aut-sei=Teramoto en-aut-mei=Keisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Kobe University kn-affil= affil-num=2 en-affil=Department of Mathematics, Graduate School of Science, Kobe University kn-affil= en-keyword=cuspidal edge kn-keyword=cuspidal edge en-keyword=swallowtail kn-keyword=swallowtail en-keyword=de Sitter Gauss map image kn-keyword=de Sitter Gauss map image en-keyword=singularity kn-keyword=singularity en-keyword=flat front kn-keyword=flat front END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=81 end-page=92 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An arithmetic function arising from the Dedekind ψ function en-subtitle= kn-subtitle= en-abstract= kn-abstract=We define ψ‾ to be the multiplicative arithmetic function that satisfies

for all primes p and positive integers α. Let λ(n) be the number of iterations of the function ψ‾ needed for n to reach 2. It follows from a theorem due to White that λ is additive. Following Shapiro's work on the iterated φ function, we determine bounds for λ. We also use the function λ to partition the set of positive integers into three sets S1, S2, S3 and determine some properties of these sets. en-copyright= kn-copyright= en-aut-name=DefantColin en-aut-sei=Defant en-aut-mei=Colin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Florida kn-affil= en-keyword=Iterated function kn-keyword=Iterated function en-keyword=Dedekind function kn-keyword=Dedekind function en-keyword=additive function kn-keyword=additive function END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=141 end-page=147 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the (1 ? C2) condition en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we give some results on (1 ? C2)?modules and 1?continuous modules. en-copyright= kn-copyright= en-aut-name=Le Van An en-aut-sei=Le Van An en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Nguyen Thi Hai Anh en-aut-sei=Nguyen Thi Hai Anh en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=Ngo Sy Tung en-aut-sei=Ngo Sy Tung en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Natural Education, Ha Tinh University kn-affil= affil-num=2 en-affil=Department of Natural Education, Ha Tinh University kn-affil= affil-num=3 en-affil=Department of Mathematics, Vinh University kn-affil= en-keyword=injective module kn-keyword=injective module en-keyword=continuous module kn-keyword=continuous module en-keyword=uniform module kn-keyword=uniform module en-keyword=UC module kn-keyword=UC module en-keyword=distributive module kn-keyword=distributive module END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=159 end-page=167 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Restriction on Galois groups by prime inert condition en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we study number fields K with the property that every prime factor of the degree of K remains prime in K. We determine all types of Galois groups of such K up to degree nine and find that Wang's non-existence in cyclic octic case is exceptionally undetermined by our group-theoretic criterion. en-copyright= kn-copyright= en-aut-name=KomatsuToru en-aut-sei=Komatsu en-aut-mei=Toru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Faculty of Science and Technology Tokyo University of Science en-keyword=Inverse Galois theory kn-keyword=Inverse Galois theory en-keyword=prime factorization kn-keyword=prime factorization END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=79 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Aharonov--Bohm effect in resonances of magnetic Schr?dinger operators in two dimensions III en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the Aharonov?Bohm effect (AB effect) in quantum resonances for magnetic scattering in two dimensions. The system consists of four scatters, two obstacles and two scalar potentials with compact support, which are largely separated from one another. The obstacles by which the magnetic fields are completely shielded are vertically placed between the supports of the two potentials. The system yields a two dimensional model of a toroidal scattering system in three dimensions. The resonances are shown to be generated near the real axis by the trajectories trapped between two supports of the scalar potentials as the distances between the scatterers go to infinity. We analyze how the AB effect influences the location of resonances. The result heavily depends on the width between the two obstacles as well as on the magnetic fluxes. The critical case is that the width is comparable to the square root of the distance between the supports of the two potentials. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov?Bohm effect kn-keyword=Aharonov?Bohm effect en-keyword=magnetic Schr?dinger operator kn-keyword=magnetic Schr?dinger operator en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=169 end-page=182 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On weakly separable polynomials and weakly quasi-separable polynomials over rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=Separable extensions of noncommutative rings have already been studied extensively. Recently, N. Hamaguchi and A. Nakajima introduced the notions of weakly separable extensions and weakly quasiseparable extensions. They studied weakly separable polynomials and weakly quasi-separable polynomials in the case that the coefficient ring is commutative. The purpose of this paper is to give some improvements and generalizations of Hamaguchi and Nakajima's results. We shall characterize a weakly separable polynomial f(X) over a commutative ring by using its derivative fŒ(X) and its discriminant ƒÂ(f(X)). Further, we shall try to give necessary and sufficient conditions for weakly separable polynomials in skew polynomial rings in the case that the coefficient ring is noncommutative. en-copyright= kn-copyright= en-aut-name=YamanakaSatoshi en-aut-sei=Yamanaka en-aut-mei=Satoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Graduate School of Natural Science and Technology Okayama University en-keyword=separable extension kn-keyword=separable extension en-keyword=quasi-separable extension kn-keyword=quasi-separable extension en-keyword=weakly separable extension kn-keyword=weakly separable extension en-keyword=weakly quasi-separable extension kn-keyword=weakly quasi-separable extension en-keyword=skew polynomial ring kn-keyword=skew polynomial ring en-keyword=derivation kn-keyword=derivation END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=141 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Alternative approach for Siegel's lemma en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this article, we present an alternative approach to show a generalization of Siegel's lemma which is an essential tool in Diophantine problems. Our main statement contains the so-called analytic Siegel's lemma as well as the Bombieri-Vaaler lemma. Our proof avoids relying on the ordinary geometry of numbers. en-copyright= kn-copyright= en-aut-name=NagataMakoto en-aut-sei=Nagata en-aut-mei=Makoto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka University of Pharmaceutical Sciences en-keyword=Siegelfs lemma kn-keyword=Siegelfs lemma en-keyword=geometry of numbers kn-keyword=geometry of numbers en-keyword=height kn-keyword=height END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=41 end-page=78 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Aharonov--Bohm effect in resonances of magnetic Schr?dinger operators in two dimensions II en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the Aharonov?Bohm effect (AB effect) in quantum resonances for magnetic scattering in two dimensions. The system consists of four scatters, two obstacles and two scalar potentials with compact support, which are largely separated from one another. The obstacles by which the magnetic fields are completely shielded are horizontally placed between the supports of the two potentials. The fields do not influence particles from a classical mechanical point of view, but quantum particles are influenced by the corresponding vector potential which does not necessarily vanish outside the obstacle. This quantum phenomenon is called the AB effect. The resonances are shown to be generated near the real axis by the trajectories trapped between two supports of the scalar potentials as the distances between the scatterers go to infinity. We analyze how the AB effect influences the location of resonances. The result is described in terms of the backward amplitudes for scattering by each of the scalar potentials, and it depends heavily on the ratios of the distances between the four scatterers as well as on the magnetic fluxes of the fields. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov?Bohm effect kn-keyword=Aharonov?Bohm effect en-keyword=magnetic Schr?dinger operator kn-keyword=magnetic Schr?dinger operator en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=183 end-page=198 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The positivity of the transmutation operators associated to the Cherednik operators for the root system $BC_2$ en-subtitle= kn-subtitle= en-abstract= kn-abstract=We consider the transmutation operators Vk, tVk and V W k , tV W k associated respectively with the Cherednik operators and the Heckman-Opdam theory attached to the root system BC2, called also in [8, 9, 10] the trigonometric Dunkl intertwining operators, and their dual. In this paper we prove that the operators Vk, tVk and VWk , tVWk are positivity preserving and allows positive integral representations. In particular we deduce that the Opdam-Cherednik and the Heckman-Opdam kernels are positive definite. en-copyright= kn-copyright= en-aut-name=TRIM?CHEKhalifa en-aut-sei=TRIM?CHE en-aut-mei=Khalifa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Faculty of Science of Tunis University Tunis El-Manar en-keyword=Cherednik operators-Root system of type BC2 kn-keyword=Cherednik operators-Root system of type BC2 en-keyword=Transmutation operators kn-keyword=Transmutation operators en-keyword=The trigonometric Dunkl intertwining operator and its dual kn-keyword=The trigonometric Dunkl intertwining operator and its dual END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=1 end-page=39 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Asymptotic properties in forward directions of resolvent kernels of magnetic Schr?dinger operators in two dimensions en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the asymptotic properties in forward directions of resolvent kernels with spectral parameters in the lower half plane (unphysical sheet) of the complex plane for magnetic Schr?dinger operators in two dimensions. The asymptotic formula obtained has an application to the problem of quantum resonances in magnetic scattering, and it is especially helpful in studying how the Aharonov?Bohm effect influences the location of resonances. Here we mention only the results without proofs. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov?Bohm effect kn-keyword=Aharonov?Bohm effect en-keyword=magnetic Schr?dinger operator kn-keyword=magnetic Schr?dinger operator en-keyword=resolvent kernel kn-keyword=resolvent kernel en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=109 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Another description of quasi tertiary composition en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give another description of quasi tertiary composition in terms of horizontal and vertical compositions. As an application of the description and a modified result of Hardie-Kamps-Marcum-Oda, we see that any quasi tertiary composition has an indeterminacy. en-copyright= kn-copyright= en-aut-name=?shimaHideaki en-aut-sei=?shima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=?shimaKatsumi en-aut-sei=?shima en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Ibaraki University affil-num=2 en-affil= kn-affil= en-keyword=Toda bracket kn-keyword=Toda bracket en-keyword=tertiary composition kn-keyword=tertiary composition en-keyword=quasi tertiary composition kn-keyword=quasi tertiary composition en-keyword=horizontal composition kn-keyword=horizontal composition en-keyword=vertical composition kn-keyword=vertical composition END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=125 end-page=132 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On a duality of Gras between totally positive and primary cyclotomic units en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let K be a real abelian field of odd degree over Q, and C the group of cyclotomic units of K. We denote by C+ and C0 the totally positive and primary elements of C, respectively. G. Gras found a duality between the Galois modules C+/C2 and C0/C2 by some ingenious calculation on cyclotomic units. We give an alternative proof using a consequence (=gGras conjectureh) of the Iwasawa main conjecture and the standard reflection argument. We also give some related topics. en-copyright= kn-copyright= en-aut-name=IchimuraHumio en-aut-sei=Ichimura en-aut-mei=Humio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Faculty of Science, Ibaraki University en-keyword=cyclotomic units kn-keyword=cyclotomic units en-keyword=reflection argument kn-keyword=reflection argument en-keyword=ideal class group kn-keyword=ideal class group END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=133 end-page=140 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On finite rings over which every free codes is splitting en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we study the structure of finite rings over which all free codes are splitting. In particular, we show that over the matrix rings over finite local rings all free codes are splitting. en-copyright= kn-copyright= en-aut-name=HiranoYasuyuki en-aut-sei=Hirano en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Naruto university of Education en-keyword=finite rings kn-keyword=finite rings en-keyword=ring-linear codes kn-keyword=ring-linear codes en-keyword=free codes kn-keyword=free codes END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=149 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON ∅-RECURRENT CONTACT METRIC MANIFOLDS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we prove that evry 3-dimensional manifold M is a ∅-recurrent N(k)-contact metric manifold if and only if it is flat. Then we classify the ∅-recurrent contact metric manifolds of constant curvature. This implies that there exists no ∅-recurrent N(k)-contact metric manifold, which is neither symmetric nor locally ∅-symmetric. en-copyright= kn-copyright= en-aut-name=PeyghanEsmaeil en-aut-sei=Peyghan en-aut-mei=Esmaeil kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NasrabadiHassan en-aut-sei=Nasrabadi en-aut-mei=Hassan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TayebiAkbar en-aut-sei=Tayebi en-aut-mei=Akbar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science Arak University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science Arak University affil-num=3 en-affil= kn-affil=Department of Mathematics, Faculty of Science University of Qom en-keyword=Constant curvature kn-keyword=Constant curvature en-keyword=Locally ∅-symmetric kn-keyword=Locally ∅-symmetric en-keyword=N(k)-contact metric manifold kn-keyword=N(k)-contact metric manifold en-keyword=∅-recurrent kn-keyword=∅-recurrent END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=123 end-page=128 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE EQUIVARIANT SIMPLICIAL DE RHAM COMPLEX AND THE CLASSIFYING SPACE OF A SEMI-DIRECT PRODUCT GROUP en-subtitle= kn-subtitle= en-abstract= kn-abstract=We show that the cohomology group of the total complex of the equivariant simplicial de Rham complex is isomorphic to the cohomology group of the classifying space of a semi-direct product group. en-copyright= kn-copyright= en-aut-name=SuzukiNaoya en-aut-sei=Suzuki en-aut-mei=Naoya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Mathematics, Nagoya University en-keyword=simplicial de Rham complex kn-keyword=simplicial de Rham complex en-keyword=classifying space kn-keyword=classifying space END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=159 end-page=172 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ENUMERATIVE COMBINATORICS ON DETERMINANTS AND SIGNED BIGRASSMANNIAN POLYNOMIALS en-subtitle= kn-subtitle= en-abstract= kn-abstract=As an application of linear algebra for enumerative combinatorics, we introduce two new ideas, signed bigrassmannian polynomials and bigrassmannian determinant. First, a signed bigrassmannian polynomial is a variant of the statistic given by the number of bigrassmannian permutations below a permutation in Bruhat order as Reading suggested (2002) and afterward the author developed (2011). Second, bigrassmannian determinant is a q-analog of the determinant with respect to our statistic. It plays a key role for a determinantal expression of those polynomials. We further show that bigrassmannian determinant satisfies weighted condensation as a generalization of Dodgson, Jacobi-Desnanot and Robbins-Rumsey (1986). en-copyright= kn-copyright= en-aut-name=KobayashiMasato en-aut-sei=Kobayashi en-aut-mei=Masato kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Science and Engineering Department of Mathematics Saitama University en-keyword=Bigrassmannian permutations kn-keyword=Bigrassmannian permutations en-keyword=Bruhat order kn-keyword=Bruhat order en-keyword=Permutation statistics kn-keyword=Permutation statistics en-keyword=Robbins-Rumsey determinant kn-keyword=Robbins-Rumsey determinant en-keyword=Symmetric Groups kn-keyword=Symmetric Groups en-keyword=Tournaments kn-keyword=Tournaments en-keyword=Vandermonde determinant kn-keyword=Vandermonde determinant END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=173 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ZERO MEAN CURVATURE SURFACES IN LORENTZ-MINKOWSKI 3-SPACE AND 2-DIMENSIONAL FLUID MECHANICS en-subtitle= kn-subtitle= en-abstract= kn-abstract=Space-like maximal surfaces and time-like minimal surfaces in Lorentz-Minkowski 3-space R31 are both characterized as zero mean curvature surfaces. We are interested in the case where the zero mean curvature surface changes type from space-like to time-like at a given non-degenerate null curve. We consider this phenomenon and its interesting connection to 2-dimensional fluid mechanics in this expository article. en-copyright= kn-copyright= en-aut-name=FujimoriShoichi en-aut-sei=Fujimori en-aut-mei=Shoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KimYoung Wook en-aut-sei=Kim en-aut-mei=Young Wook kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KohSung-Eun en-aut-sei=Koh en-aut-mei=Sung-Eun kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=RossmanWayne en-aut-sei=Rossman en-aut-mei=Wayne kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=ShinHeayong en-aut-sei=Shin en-aut-mei=Heayong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=UmeharaMasaaki en-aut-sei=Umehara en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=YamadaKotaro en-aut-sei=Yamada en-aut-mei=Kotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=YangSeong-Deog en-aut-sei=Yang en-aut-mei=Seong-Deog kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University affil-num=2 en-affil= kn-affil=Department of Mathematics, Korea University affil-num=3 en-affil= kn-affil=Department of Mathematics, Konkuk University affil-num=4 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Kobe University affil-num=5 en-affil= kn-affil=Department of Mathematics, Chung-Ang University affil-num=6 en-affil= kn-affil=Department of Mathematical and Computing Sciences, Tokyo Institute of Technology affil-num=7 en-affil= kn-affil=Department of Mathematics, Tokyo Institute of Technology affil-num=8 en-affil= kn-affil=Department of Mathematics, Korea University en-keyword=maximal surface kn-keyword=maximal surface en-keyword=type change kn-keyword=type change en-keyword=zero mean curvature kn-keyword=zero mean curvature en-keyword=subsonic flow kn-keyword=subsonic flow en-keyword=supersonic flow kn-keyword=supersonic flow en-keyword=stream function kn-keyword=stream function END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=1 end-page=12 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=MODULAR DIFFERENTIAL EQUATIONS WITH REGULAR SINGULARITIES AT ELLIPTIC POINTS FOR THE HECKE CONGRUENCE SUBGROUPS OF LOW-LEVELS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we give explicit expressions of modular differential equations with regular singularities at elliptic points for the Hecke subgroups of level 2, 3, and 4, and their solutions expressed in terms of the Gauss hypergeometric series. We also give quasimodular-form solutions for some modular differential equations. en-copyright= kn-copyright= en-aut-name=SakaiYuichi en-aut-sei=Sakai en-aut-mei=Yuichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ShimizuKenichi en-aut-sei=Shimizu en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil= affil-num=2 en-affil= kn-affil= en-keyword=modular/quasimodular form kn-keyword=modular/quasimodular form en-keyword=differential equations kn-keyword=differential equations END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=129 end-page=148 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=AN EXPLICIT EFFECT OF NON-SYMMETRY OF RANDOM WALKS ON THE TRIANGULAR LATTICE en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study an explicit effect of non-symmetry on asymptotics of the n-step transition probability as n ¨ ∞ for a class of non-symmetric random walks on the triangular lattice. Realizing the triangular lattice into R2 appropriately, we observe that the Euclidean distance in R2 naturally appears in the asymptotics. We characterize this realization from a geometric view point of Kotani-Sunadafs standard realization of crystal lattices. As a corollary of the main theorem, we obtain that the transition semigroup generated by the non-symmetric random walk approximates the heat semigroup generated by the usual Brownian motion on R2. en-copyright= kn-copyright= en-aut-name=IshiwataSatoshi en-aut-sei=Ishiwata en-aut-mei=Satoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KawabiHiroshi en-aut-sei=Kawabi en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TeruyaTsubasa en-aut-sei=Teruya en-aut-mei=Tsubasa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematical Sciences, Faculty of Science Yamagata University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science Okayama University affil-num=3 en-affil= kn-affil=The Okinawa Kaiho Bank, Ltd. en-keyword=Non-symmetric random walk kn-keyword=Non-symmetric random walk en-keyword=asymptotic expansion kn-keyword=asymptotic expansion en-keyword=triangular lattice kn-keyword=triangular lattice en-keyword=standard realization kn-keyword=standard realization END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=99 end-page=110 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=SUPPLEMENTED MORPHISMS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, left R-modules M and N are studied under the assumptions that HomR(M,N) is supplemented. It is shown that Hom(M,N) is (?, G*, amply)-supplemented if and only if N is (?, G*, amply)-supplemented. Some applications to cosemisimple modules, refinable modules and UCC-modules are presented. Finally, the relationship between the Jacobson radical J[M,N] of HomR(M,N) and HomR(M,N) is supplemented are investigated. Let M be a finitely generated, self-projective left R-module and N ¸ Gen(M). We show that if Hom(M,N) is supplemented and N has GD2 then Hom(M,N)/J(M,N) is semisimple as a left EM-module. en-copyright= kn-copyright= en-aut-name=K?rArda en-aut-sei=K?r en-aut-mei=Arda kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=QuynhTruong Cong en-aut-sei=Quynh en-aut-mei=Truong Cong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=?ahinkayaSerap en-aut-sei=?ahinkaya en-aut-mei=Serap kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=Ko?anMuhammet Tamer en-aut-sei=Ko?an en-aut-mei=Muhammet Tamer kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Gebze Institute of Technology affil-num=2 en-affil= kn-affil=Department of Mathematics Danang University affil-num=3 en-affil= kn-affil=Department of Mathematics, Gebze Institute of Technology affil-num=4 en-affil= kn-affil=Department of Mathematics, Gebze Institute of Technology en-keyword=regular module kn-keyword=regular module en-keyword=supplemented module kn-keyword=supplemented module END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=111 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE CANONICAL LINE BUNDLES OVER EQUIVARIANT REAL PROJECTIVE SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=A generator of the reduced KO-group of the real projective space of dimension n is related to the canonical line bundle γ. In the present paper, we will prove that for a finite group G of odd order and a real G-representation U of dimension 2n, in the reduced G-equivariant KO-group of the real projective space associated with the G-representation R ? U, the element 2n+2[γ] is equal to zero. en-copyright= kn-copyright= en-aut-name=QiYan en-aut-sei=Qi en-aut-mei=Yan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Graduate School of Natural Science and Technology Okayama University en-keyword=equivariant real vector bundle kn-keyword=equivariant real vector bundle en-keyword=group action kn-keyword=group action en-keyword=real projective space kn-keyword=real projective space en-keyword=canonical line bundle kn-keyword=canonical line bundle en-keyword=product bundle kn-keyword=product bundle END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=13 end-page=78 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=QUASI TERTIARY COMPOSITIONS AND A TODA BRACKET IN HOMOTOPY GROUPS OF SU(3) en-subtitle= kn-subtitle= en-abstract= kn-abstract=We revise the theories of tertiary compositions studied by Ôguchi and Mimura. As a byproduct, we determine a Toda bracket in homotopy groups of SU(3) which solves an ambiguity in a previous paper of Maruyama and the first author. en-copyright= kn-copyright= en-aut-name=?shimaHideaki en-aut-sei=?shima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=?shimaKatsumi en-aut-sei=?shima en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Ibaraki University affil-num=2 en-affil= kn-affil= en-keyword=Toda bracket kn-keyword=Toda bracket en-keyword=tertiary composition kn-keyword=tertiary composition en-keyword=quasi tertiary composition kn-keyword=quasi tertiary composition en-keyword=homotopy group kn-keyword=homotopy group en-keyword=special unitary group kn-keyword=special unitary group en-keyword=Samelson product kn-keyword=Samelson product END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=79 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON MODEL STRUCTURE FOR COREFLECTIVE SUBCATEGORIES OF A MODEL CATEGORY en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HaraguchiTadayuki en-aut-sei=Haraguchi en-aut-mei=Tadayuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of General Education Oita National College of Technology en-keyword=model category kn-keyword=model category en-keyword=Quillen equivalence kn-keyword=Quillen equivalence en-keyword=numerically generated space kn-keyword=numerically generated space END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=85 end-page=98 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=STEENROD-?ECH HOMOLOGY-COHOMOLOGY THEORIES ASSOCIATED WITH BIVARIANT FUNCTORS en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let NG0 denote the category of all pointed numerically generated spaces and continuous maps preserving base-points. In [SYH], we described a passage from bivariant functors NG0op ~ NG0 ¨ NG0 to generalized homology and cohomology theories. In this paper, we construct a bivariant functor such that the associated cohomology is the ?ech cohomology and the homology is the Steenrod homology (at least for compact metric spaces). en-copyright= kn-copyright= en-aut-name=YoshidaKohei en-aut-sei=Yoshida en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kyoto Rakuhoku High School en-keyword=?ech cohomologies kn-keyword=?ech cohomologies en-keyword=Steenrod homologies kn-keyword=Steenrod homologies en-keyword=bivariant functors kn-keyword=bivariant functors END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=157 end-page=169 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=STUDY OF A PARABOLIC PROBLEM IN A CONICAL DOMAIN en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper we consider the heat equation with Dirichlet boundary conditions in a conical domain. We look for a sufficient condition on the lateral surface of the cone in order to have the optimal regularity of the solution in an anisotropic Sobolev space when the right hand side of the equation is in a Lebesgue space. en-copyright= kn-copyright= en-aut-name=SadallahBoubaker-Khaled en-aut-sei=Sadallah en-aut-mei=Boubaker-Khaled kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Lab. PDE & Hist. Maths Ecole Normale Sup?rieure en-keyword=Heat equation kn-keyword=Heat equation en-keyword=Parabolic equation kn-keyword=Parabolic equation en-keyword=Nonregular domain kn-keyword=Nonregular domain en-keyword=Cone kn-keyword=Cone END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=1 end-page=16 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=MUTATING BRAUER TREES en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper we introduce mutation of Brauer trees. We show that our mutation of Brauer trees explicitly describes the tilting mutation of Brauer tree algebras introduced by Okuyama and Rickard. en-copyright= kn-copyright= en-aut-name=AiharaTakuma en-aut-sei=Aihara en-aut-mei=Takuma kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Division of Mathematical Science and Physics, Graduate School of Science and Technology, Chiba University en-keyword=Brauer tree kn-keyword=Brauer tree en-keyword=Brauer tree algebra kn-keyword=Brauer tree algebra en-keyword=tilting mutation kn-keyword=tilting mutation en-keyword=mutation of Brauer tree kn-keyword=mutation of Brauer tree END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=171 end-page=178 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=CONVEXITY PROPERTIES OF A NEW GENERAL INTEGRAL OPERATOR OF p-VALENT FUNCTIONS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we introduce a new general integral operator and obtain the order of convexity of this integral operator. en-copyright= kn-copyright= en-aut-name=BulutSerap en-aut-sei=Bulut en-aut-mei=Serap kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kocaeli University Civil Aviation College Arslanbey Campus en-keyword=Analytic function kn-keyword=Analytic function en-keyword=Multivalent function kn-keyword=Multivalent function en-keyword=Starlike function kn-keyword=Starlike function en-keyword=Convex function kn-keyword=Convex function en-keyword=Integral operator kn-keyword=Integral operator END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=179 end-page=198 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON THE SOLVABILITY OF CERTAIN (SSIE) WITH OPERATORS OF THE FORM B(r, s) en-subtitle= kn-subtitle= en-abstract= kn-abstract=Given any sequence z = (zn)n?1 of positive real numbers and any set E of complex sequences, we write Ez for the set of all sequences y = (yn)n?1 such that y/z = (yn/zn)n?1 ¸ E; in particular, sz(c) denotes the set of all sequences y such that y/z converges. In this paper we deal with sequence spaces inclusion equations (SSIE), which are determined by an inclusion each term of which is a sum or a sum of products of sets of sequences of the form Xa(T) and Xx(T) where a is a given sequence, the sequence x is the unknown, T is a given triangle, and Xa(T) and Xx(T) are the matrix domains of T in the set X . Here we determine the set of all positive sequences x for which the (SSIE) sx(c) (B(r, s)) sx(c)¼ (B(r', s')) holds, where r, r', s' and s are real numbers, and B(r, s) is the generalized operator of the first difference defined by (B(r, s)y)n = ryn+syn?1 for all n ? 2 and (B(r, s)y)1 = ry1. We also determine the set of all positive sequences x for which ryn + syn?1 /xn ¨ l implies r'yn + s'yn?1 /xn ¨ l (n ¨ ‡) for all y and for some scalar l. Finally, for a given sequence a, we consider the a?Tauberian problem which consists of determining the set of all x such that sx(c) (B(r, s)) ¼ sa(c) . en-copyright= kn-copyright= en-aut-name=MalafosseBruno de en-aut-sei=Malafosse en-aut-mei=Bruno de kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MalkowskyEberhard en-aut-sei=Malkowsky en-aut-mei=Eberhard kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=LMAH Universit? du Havre affil-num=2 en-affil= kn-affil=Fatih University en-keyword=Matrix transformations kn-keyword=Matrix transformations en-keyword=BK space kn-keyword=BK space en-keyword=the spaces sa, sa0 and sa(c) kn-keyword=the spaces sa, sa0 and sa(c) en-keyword=(SSIE) kn-keyword=(SSIE) en-keyword=(SSE) with operator kn-keyword=(SSE) with operator en-keyword=band matrix B(r, s) kn-keyword=band matrix B(r, s) en-keyword=Tauberian result kn-keyword=Tauberian result END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=117 end-page=127 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=WEIL ALGEBRAS ASSOCIATED TO FUNCTORS OF THIRD ORDER SEMIHOLONOMIC VELOCITIES en-subtitle= kn-subtitle= en-abstract= kn-abstract=The structure of Weil algebras associated to functors of third order semiholonomic velocities is completely described including the explicit expression of widths. en-copyright= kn-copyright= en-aut-name=Kure?Miroslav en-aut-sei=Kure? en-aut-mei=Miroslav kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Institute of Mathematics Brno University of Technology en-keyword=Weil algebra kn-keyword=Weil algebra en-keyword=product preserving bundle kn-keyword=product preserving bundle en-keyword=semiholonomic jets kn-keyword=semiholonomic jets en-keyword=higher order velocities kn-keyword=higher order velocities END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=75 end-page=89 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A MODEL FOR THE WHITEHEAD PRODUCT IN RATIONAL MAPPING SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=We describe the Whitehead products in the rational homo- topy group of a connected component of a mapping space in terms of the Andr?-Quillen cohomology. As a consequence, an upper bound for the Whitehead length of a mapping space is given. en-copyright= kn-copyright= en-aut-name=NaitoTakahito en-aut-sei=Naito en-aut-mei=Takahito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematical Sciences, Faculty of Science, Shinshu University en-keyword=mapping space kn-keyword=mapping space en-keyword=Whitehead product kn-keyword=Whitehead product en-keyword=rational homotopy theory kn-keyword=rational homotopy theory END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=145 end-page=155 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE BEST CONSTANT OF Lp SOBOLEV INEQUALITY CORRESPONDING TO DIRICHLET-NEUMANN BOUNDARY VALUE PROBLEM en-subtitle= kn-subtitle= en-abstract= kn-abstract=We have obtained the best constant of the following Lp Sobolev inequality sup 0?y?1| u(j)(y)| ?C (ç 01 | u(M)(x)| p dx)1/p , where u is a function satisfying u(M) ¸ Lp(0, 1), u(2i)(0) = 0 (0 ?i ? [(M ? 1)/2]) and u(2i+1)(1) = 0 (0 ? i ? [(M ? 2)/2]), where u(i) is the abbreviation of (d/dx)iu(x). In [9], the best constant of the above inequality was obtained for the case of p = 2 and j = 0. This paper extends the result of [9] under the conditions p > 1 and 0 ? j ? M ?1. The best constant is expressed by Bernoulli polynomials. en-copyright= kn-copyright= en-aut-name=YamagishiHiroyuki en-aut-sei=Yamagishi en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=WatanabeKohtaro en-aut-sei=Watanabe en-aut-mei=Kohtaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KametakaYoshinori en-aut-sei=Kametaka en-aut-mei=Yoshinori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Tokyo Metropolitan College of Industrial Technology affil-num=2 en-affil= kn-affil=Department of Computer Science, National Defense Academy affil-num=3 en-affil= kn-affil=Faculty of Engineering Science, Osaka University en-keyword=Lp Sobolev inequality kn-keyword=Lp Sobolev inequality en-keyword=Best constant kn-keyword=Best constant en-keyword=Green function kn-keyword=Green function en-keyword=Reproducing kernel kn-keyword=Reproducing kernel en-keyword=Bernoulli polynomial kn-keyword=Bernoulli polynomial en-keyword=H?lder inequality kn-keyword=H?lder inequality END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=17 end-page=26 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A CHARACTERIZATION OF THE GLAUBERMAN-WATANABE CORRESPONDING BLOCKS AS BIMODULES en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give a characterization of the Glauberman-Watanabe corresponding blocks viewed as bimodules as a direct summand of a restricted or an induced module from the block in terms of a vertex and a multiplicity. en-copyright= kn-copyright= en-aut-name=TasakaFuminori en-aut-sei=Tasaka en-aut-mei=Fuminori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tsuruoka national college of technology en-keyword=finite group kn-keyword=finite group en-keyword=Glauberman-Watanabe correspondence kn-keyword=Glauberman-Watanabe correspondence END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=27 end-page=33 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=INTERSECTIVE POLYNOMIALS WITH GALOIS GROUP D5 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give an infinite family of intersective polynomials with Galois group D5, the dihedral group of order 10. en-copyright= kn-copyright= en-aut-name=LavalleeMelisa J. en-aut-sei=Lavallee en-aut-mei=Melisa J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SpearmanBlair K. en-aut-sei=Spearman en-aut-mei=Blair K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YangQiduan en-aut-sei=Yang en-aut-mei=Qiduan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics and Statistics University of British Columbia Okanagan affil-num=2 en-affil= kn-affil=Department of Mathematics and Statistics University of British Columbia Okanagan affil-num=3 en-affil= kn-affil=Department of Mathematics and Statistics University of British Columbia Okanagan en-keyword=Intersective polynomial kn-keyword=Intersective polynomial en-keyword=Galois group kn-keyword=Galois group en-keyword=dihedal group kn-keyword=dihedal group en-keyword=monogenic kn-keyword=monogenic END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=35 end-page=50 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON POSITIVE INTEGERS OF MINIMAL TYPE CONCERNED WITH THE CONTINUED FRACTION EXPANSION en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KishiYasuhiro en-aut-sei=Kishi en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TajiriSayaka en-aut-sei=Tajiri en-aut-mei=Sayaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YoshizukaKen-ichiro en-aut-sei=Yoshizuka en-aut-mei=Ken-ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Aichi University of Education affil-num=2 en-affil= kn-affil=Department of Mathematics Fukuoka University of Education affil-num=3 en-affil= kn-affil=Department of Mathematics Fukuoka University of Education en-keyword=continued fraction kn-keyword=continued fraction en-keyword=real quadratic field kn-keyword=real quadratic field en-keyword=class number kn-keyword=class number END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=51 end-page=63 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=SUMS OF TWO BIQUADRATES AND ELLIPTIC CURVES OF RANK ? 4 en-subtitle= kn-subtitle= en-abstract= kn-abstract=If an integer n is written as a sum of two biquadrates in two different ways, then the elliptic curve y2 = x3 ? nx has positive rank. We utilize Eulerfs parametrization to introduce some homoge- neous equations to prove that En has rank ? 3. If moreover n is odd and the parity conjecture is true, then the curve has even rank ? 4. Finally, some examples of ranks equal to 4, 5, 6, 7, 8 and 10, are also obtained. en-copyright= kn-copyright= en-aut-name=IzadiF.A. en-aut-sei=Izadi en-aut-mei=F.A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KhoshnamF. en-aut-sei=Khoshnam en-aut-mei=F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=NabardiK. en-aut-sei=Nabardi en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Mathematics Department, Azarbaijan Shahid Madani University affil-num=2 en-affil= kn-affil=Mathematics Department, Azarbaijan Shahid Madani University affil-num=3 en-affil= kn-affil=Mathematics Department, Azarbaijan Shahid Madani University en-keyword=elliptic curves kn-keyword=elliptic curves en-keyword=rank kn-keyword=rank en-keyword=biquadrates kn-keyword=biquadrates en-keyword=sums of two biquadrates kn-keyword=sums of two biquadrates en-keyword=parity conjecture kn-keyword=parity conjecture END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=129 end-page=143 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=GROWTH OF SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper is devoted to studying the growth of solutions of the higher order nonhomogeneous linear differential equation f(k) + Ak?1f(k?1) + ... + A2f " + (D1 (z) + A1 (z) eP(z)) f ' + (D0 (z) + A0 (z)e Q(z)) f = F (k ? 2) , where P (z) , Q(z) are nonconstant polynomials such that deg P = degQ = n and Aj (z) (j = 0, 1, ..., k ? 1) , F (z) are entire functions with max{p(Aj) (j = 0, 1, ..., k ? 1) , p(Dj) (j = 0, 1)} < n. We also investigate the relationship between small functions and the solutions of the above equation. en-copyright= kn-copyright= en-aut-name=FarissiAbdallah El en-aut-sei=Farissi en-aut-mei=Abdallah El kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Bela?diBenharrat en-aut-sei=Bela?di en-aut-mei=Benharrat kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem (UMAB) affil-num=2 en-affil= kn-affil=Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem (UMAB) en-keyword=Linear differential equations kn-keyword=Linear differential equations en-keyword=Entire solutions kn-keyword=Entire solutions en-keyword=Order of growth kn-keyword=Order of growth en-keyword=Exponent of convergence of zeros kn-keyword=Exponent of convergence of zeros en-keyword=Exponent of convergence of distinct zeros kn-keyword=Exponent of convergence of distinct zeros END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=65 end-page=74 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=PRIME, MAXIMAL AND PRIMITIVE IDEALS IN SOME SUBRINGS OF POLYNOMIAL RINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper we describe prime, maximal and primitive ideals in some graded subrings of polynomial rings. As applications the corresponding radicals are determined. en-copyright= kn-copyright= en-aut-name=FerreroMiguel en-aut-sei=Ferrero en-aut-mei=Miguel kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MirandaEdilson Soares en-aut-sei=Miranda en-aut-mei=Edilson Soares kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Instituto de Matem?tica Universidade Federal do Rio Grande do Sul affil-num=2 en-affil= kn-affil=Departamento de Ci?ncias Centro de Ci?ncias Exatas Universidade Estadual de Maring? en-keyword=admissible kn-keyword=admissible en-keyword=polynomial rings kn-keyword=polynomial rings en-keyword=prime ideal kn-keyword=prime ideal END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=91 end-page=115 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=EQUIVARIANT STABLE HOMOTOPY THEORY FOR PROPER ACTIONS OF DISCRETE GROUPS en-subtitle= kn-subtitle= en-abstract= kn-abstract=Following ideas of Graeme Segal [Segal(1973)], [Segal(1968)], Christian Schlichtkrull [Schlichtkrull(2007)] and Kazuhisa Shimakawa [Shimakawa(1989)] we construct equivariant stable homotopy groups for proper equivariant CW complexes with an action of a discrete group. en-copyright= kn-copyright= en-aut-name=B?rcenasNo? en-aut-sei=B?rcenas en-aut-mei=No? kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Hausdorff Center for Mathematics Mathematisches Institut en-keyword=proper actions kn-keyword=proper actions en-keyword=equivariant homotopy theory kn-keyword=equivariant homotopy theory en-keyword=configuration spaces kn-keyword=configuration spaces END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=191 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON HYPERBOLIC AREA OF THE MODULI OF ƒÆ|ACUTE TRIANGLES en-subtitle= kn-subtitle= en-abstract= kn-abstract=A ƒÆ-acute triangle is a Euclidean triangle on the plane whose three angles are less than a given constant ƒÆ. In this note, we shall give an explicit formula computing the hyperbolic area A(ƒÆ) of the moduli region of ƒÆ-acute triangles on the PoincarLe disk. It turns out that A(ƒÆ) is a period in the sense of Kontsevich-Zagier if cot ƒÆ is a nonnegative algebraic number. en-copyright= kn-copyright= en-aut-name=KanesakaNaomi en-aut-sei=Kanesaka en-aut-mei=Naomi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakamuraHiroaki en-aut-sei=Nakamura en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University en-keyword=moduli space kn-keyword=moduli space en-keyword=Euclidean triangle kn-keyword=Euclidean triangle en-keyword=hyperbolic measure kn-keyword=hyperbolic measure END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=157 end-page=166 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=UNIFORM STABILITY AND BOUNDEDNESS OF SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF THE THIRD ORDER en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, a complete Lyapunov functional was con- structed and used to obtain criteria (when p = 0) for uniform asymptotic stability of the zero solution of the nonlinear delay differential equation (1.1). When p ‚ 0, sufficient conditions are also established for uni- form boundedness and uniform ultimate boundedness of solutions of this equation. Our results improve and extend some well known results in the literature. en-copyright= kn-copyright= en-aut-name=Adeleke TimothyAdemora en-aut-sei=Adeleke Timothy en-aut-mei=Ademora kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Peter OlutolaArawamo en-aut-sei=Peter Olutola en-aut-mei=Arawamo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics University of Ibadan affil-num=2 en-affil= kn-affil=Department of Mathematics University of Ibadan en-keyword=Uniform stability kn-keyword=Uniform stability en-keyword=Uniform boundedness kn-keyword=Uniform boundedness en-keyword=Uniform ultimate boundedness kn-keyword=Uniform ultimate boundedness en-keyword=Lyapunov functional kn-keyword=Lyapunov functional en-keyword=Delay differential equation kn-keyword=Delay differential equation END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=53 end-page=85 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE BLOCK APPROXIMATION THEOREM en-subtitle= kn-subtitle= en-abstract= kn-abstract=The block approximation theorem is an extensive general- ization of both the well known weak approximation theorem from valu- ation theory and the density property of global fields in their henseliza- tions. It guarantees the existence of rational points of smooth affine varieties that solve approximation problems of local-global type (see e.g. [HJP07]). The theorem holds for pseudo real closed fields, by [FHV94]. In this paper we prove the block approximation for pseudo-F- closed fields K, where F is an Letale compact family of valuations of K with bounded residue fields (Theorem 4.1). This includes in particular the case of pseudo p-adically closed fields and generalizations of these like the ones considered in [HJP05]. en-copyright= kn-copyright= en-aut-name=HaranDan en-aut-sei=Haran en-aut-mei=Dan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=JardenMoshe en-aut-sei=Jarden en-aut-mei=Moshe kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=PopFlorian en-aut-sei=Pop en-aut-mei=Florian kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=School of Mathematics, Tel Aviv University affil-num=2 en-affil= kn-affil=School of Mathematics, Tel Aviv University affil-num=3 en-affil= kn-affil=Department of Mathematics, University of Pennsylvania END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=1 end-page=52 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=EXPLICIT ASSOCIATOR RELATIONS FOR MULTIPLE ZETA VALUES en-subtitle= kn-subtitle= en-abstract= kn-abstract=Associators were introduced by Drinfelfd in [Dri91] as a monodromy representation of a Knizhnik-Zamolodchikov equation. Associators can be briefly described as formal series in two non-commutative variables satisfying three equations. These three equations yield a large number of algebraic relations between the coefficients of the series, a situation which is particularly interesting in the case of the original Drinfelfd associator, whose coefficients are multiple zetas values. In the first part of this paper, we work out these algebraic relations among multiple zeta values by direct use of the defining relations of associators. While well-known for the first two relations, the algebraic relations we obtain for the third (pentagonal) relation, which are algorithmically explicit although we do not have a closed formula, do not seem to have been previously written down. The second part of the paper shows that if one has an explicit basis for the bar-construction of the moduli space M0,5 of genus zero Riemann surfaces with 5 marked points at onefs disposal, then the task of writing down the algebraic relations corresponding to the pentagon relation becomes significantly easier and more economical compared to the direct calculation above. We discuss the explicit basis described by Brown and Gangl, which is dual to the basis of the enveloping algebra of the braids Lie algebra UB5. In order to write down the relation between multiple zeta values, we then remark that it is enough to write down the relations associated to elements that generate the bar construction as an algebra. This corresponds to looking at the bar construction modulo shuffle, which is dual to the Lie algebra of 5-strand braids. We write down, in the appendix, the associated algebraic relations between multiple zeta values in weights 2 and 3. en-copyright= kn-copyright= en-aut-name=Soud?resIsma?l en-aut-sei=Soud?res en-aut-mei=Isma?l kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Fachbereich Mathematik ? Universit?t Duisburg-Essen END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=145 end-page=155 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=MULTIPLICITY-FREE PERMUTATION CHARACTERS OF COVERING GROUPS OF SPORADIC SIMPLE GROUPS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper we classify all multiplicity-free faithful per- mutation representations of the covering groups of the sporadic simple groups. These results were obtained computationally, making extensive use of the GAP library of character tables. en-copyright= kn-copyright= en-aut-name=LintonS. A. en-aut-sei=Linton en-aut-mei=S. A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MponoZ. E. en-aut-sei=Mpono en-aut-mei=Z. E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=University of St Andrews, School of Computer Science affil-num=2 en-affil= kn-affil=University of South Africa, Department of Mathematical Sciences en-keyword=multiplicity-free faithful permutation representations kn-keyword=multiplicity-free faithful permutation representations en-keyword=covering groups of the sporadic simple groups kn-keyword=covering groups of the sporadic simple groups END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=87 end-page=93 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=NOTE ON THE COHOMOLOGICAL INVARIANT OF PFISTER FORMS en-subtitle= kn-subtitle= en-abstract= kn-abstract=The cohomological invariant ring of the n-Pfister forms is isomorphic to the invariant ring under a GLn(Z/2)-action in that of an elementary abelian 2-group of rank n. en-copyright= kn-copyright= en-aut-name=TezukaMichishige en-aut-sei=Tezuka en-aut-mei=Michishige kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YagitaNobuaki en-aut-sei=Yagita en-aut-mei=Nobuaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of mathematics, Faculty of Science, Ryukyu University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Education, Ibaraki University en-keyword=Pfister forms kn-keyword=Pfister forms en-keyword=cohomological invariant kn-keyword=cohomological invariant en-keyword=Dickson invariant kn-keyword=Dickson invariant END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=95 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A MODEL STRUCTURE ON THE CATEGORY OF SMALL CATEGORIES FOR COVERINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=We consider a model structure on the category of small categories, which is intimately related to the notion of coverings and fundamental groups of small categories. Fibrant objects coincide with groupoids, and the fibrant replacement is the groupoidification. en-copyright= kn-copyright= en-aut-name=TanakaKohei en-aut-sei=Tanaka en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Faculty of Science Shinshu University en-keyword=model categories kn-keyword=model categories en-keyword=small categories kn-keyword=small categories en-keyword=coverings kn-keyword=coverings END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=117 end-page=129 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON MONO-INJECTIVE MODULES AND MONO-OJECTIVE MODULES en-subtitle= kn-subtitle= en-abstract= kn-abstract=In [5] and [6], we have introduced a couple of relative generalized epi-projectivities and given several properties of these projectivities. In this paper, we consider relative generalized injectivities that are dual to these relative projectivities and apply them to the study of direct sums of extending modules. Firstly we prove that for an extending module N, a module M is N-injective if and only if M is mono-Ninjective and essentially N-injective. Then we define a mono-ojectivity that plays an important role in the study of direct sums of extending modules. The structure of (mono-)ojectivity is complicated and hence it is difficult to determine whether these injectivities are inherited by finite direct sums and direct summands even in the case where each module is quasi-continuous. Finally we give several characterizations of these injectivities and find necessary and sufficient conditions for the direct sums of extending modules to be extending. en-copyright= kn-copyright= en-aut-name=Keskin T?t?nc?Derya en-aut-sei=Keskin T?t?nc? en-aut-mei=Derya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KuratomiYosuke en-aut-sei=Kuratomi en-aut-mei=Yosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Hacettepe University affil-num=2 en-affil= kn-affil=Kitakyushu National College of Technology en-keyword=(generalized) mono-injective module kn-keyword=(generalized) mono-injective module en-keyword=(weakly) mono-ojective module kn-keyword=(weakly) mono-ojective module en-keyword=extending module kn-keyword=extending module END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=131 end-page=143 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=PURITY AND GORENSTEIN FILTERED RINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we discuss on the existence of filtrations of modules having good properties. In particular, we focus on filtered homomorphisms called strict, and show that there exists a filtration which makes a filtered homomorphism a strict filtered homomorphism. Moreover, by using this result, we study purity for filtered modules over a Gorenstein filtered ring. en-copyright= kn-copyright= en-aut-name=MiyaharaHiroki en-aut-sei=Miyahara en-aut-mei=Hiroki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Faculty of Engineering University of Yamanashi en-keyword=filtered ring kn-keyword=filtered ring en-keyword=Auslander-Gorenstein ring kn-keyword=Auslander-Gorenstein ring END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=167 end-page=190 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=AN ALGEBRAIC APPROACH TO THE CAMERON-MARTIN-MARUYAMA-GIRSANOV FORMULA en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we will give a new perspective to the Cameron- Martin-Maruyama-Girsanov formula by giving a totally algebraic proof to it. It is based on the exponentiation of the Malliavin-type differenti- ation and its adjointness. en-copyright= kn-copyright= en-aut-name=AkahoriJir? en-aut-sei=Akahori en-aut-mei=Jir? kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AmabaTakafumi en-aut-sei=Amaba en-aut-mei=Takafumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=UraguchiSachiyo en-aut-sei=Uraguchi en-aut-mei=Sachiyo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Ritsumeikan University affil-num=2 en-affil= kn-affil=Ritsumeikan University affil-num=3 en-affil= kn-affil=Mitsubishi Tokyo UFJ Bank END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=49 end-page=52 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON THE STRUCTURE OF THE MORDELL-WEIL GROUPS OF THE JACOBIANS OF CURVES DEFINED BY yn = f(x) en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let A be an abelian variety defined over a number field K. It is proved that for the composite field Kn of all Galois extensions over K of degree dividing n, the torsion subgroup of the Mordell-Weil group A(Kn) is finite. This is a variant of Ribetfs result ([7]) on the finiteness of torsion subgroup of A(K(ƒÄ‡)). It is also proved that for the Jacobians of superelliptic curves yn = f(x) defined over K the Mordell-Weil group over the field generated by all nth roots of elements of K is the direct sum of a finite torsion group and a free ?-module of infinite rank. en-copyright= kn-copyright= en-aut-name=MoonHyunsuk en-aut-sei=Moon en-aut-mei=Hyunsuk kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, College of Natural Sciences Kyungpook National University en-keyword=Mordell-Weil group kn-keyword=Mordell-Weil group en-keyword=Jacobian kn-keyword=Jacobian en-keyword=superelliptic curve kn-keyword=superelliptic curve END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=53 end-page=63 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON A GENERALIZATION OF QF-3Œ MODULES AND HEREDITARY TORSION THEORIES en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let R be a ring with identity, and let Mod-R be the category of right R-modules. Let M be a right R-module. We denote by E(M) the injective hull of M. M is called QF-3Œ module, if E(M) is M-torsionless, that is, E(M) is isomorphic to a submodule of a direct product ƒ®M of some copies of M. A subfunctor of the identity functor of Mod-R is called a preradical. For a preradical ƒÐ, TƒÐ := {M ¸ Mod-R : ƒÐ(M) = M} is the class of ƒÐ-torsion right R-modules, and FƒÐ := {M ¸ Mod-R : ƒÐ(M) = 0} is the class of ƒÐ-torsionfree right R-modules. A right R-module M is called ƒÐ-injective if the functor HomR(?,M) preserves the exactness for any exact sequence 0 ¨ A ¨ B ¨ C ¨ 0 with C ¸ TƒÐ. A right R-module M is called ƒÐ-QF-3Œ module if EƒÐ(M) is M-torsionless, where EƒÐ(M) is defined by EƒÐ(M)/M := ƒÐ(E(M)/M). In this paper, we characterize ƒÐ-QF-3Œ modules and give some related facts. en-copyright= kn-copyright= en-aut-name=TakehanaYasuhiko en-aut-sei=Takehana en-aut-mei=Yasuhiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=General Education Hakodate National College of Technology en-keyword=QF-3Œ kn-keyword=QF-3Œ en-keyword=hereditary kn-keyword=hereditary END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=65 end-page=76 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON A GENERALIZATION OF CQF-3Œ MODULES AND COHEREDITARY TORSION THEORIES en-subtitle= kn-subtitle= en-abstract= kn-abstract=Throughout this paper we assume that R is a right perfect ring with identity and let Mod-R be the category of right R-modules. Let M be a right R-module. We denote by 0 ¨ K(M) ¨ P(M) ¨ M ¨ 0 the projective cover of M. M is called a CQF-3Œ module, if P(M) is M-generated, that is, P(M) is isomorphic to a homomorphic image of a direct sum ?M of some copies of M. A subfunctor of the identity functor of Mod-R is called a preradical. For a preradical ƒÐ, TƒÐ := {M ¸ Mod-R : ƒÐ(M) = M} is called the class of ƒÐ-torsion right R-modules, and FƒÐ := {M ¸ Mod-R : ƒÐ(M) = 0} is called the class of ƒÐ-torsionfree right R-modules. A right R-module M is called ƒÐ-projective if the functor HomR(M,?) preserves the exactness for any exact sequence 0 ¨ A ¨ B ¨ C ¨ 0 with A ¸ FƒÐ. We put PƒÐ(M) = P(M)/ƒÐ(K(M)) for a module M. We call a right R-module M a ƒÐ-CQF-3Œ module if PƒÐ(M) is M-generated. In this paper, we characterize ƒÐ-CQF-3Œ modules and give some related facts. en-copyright= kn-copyright= en-aut-name=TakehanaYasuhiko en-aut-sei=Takehana en-aut-mei=Yasuhiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=General Education Hakodate National College of Technology en-keyword=QF-3Œ kn-keyword=QF-3Œ en-keyword=cohereditary kn-keyword=cohereditary END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=77 end-page=86 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=NOTE ON THE HOMOTOPY OF THE SPACE OF MAPS BETWEEN REAL PROJECTIVE SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the homotopy types of the space consisting of all base-point preseving continuous maps from the m dimensional real projective space into the n dimensional real projective space. When 2 ? m < n, it has two path connected components and we investigate whether these two path-components have the same homotopy type or not. en-copyright= kn-copyright= en-aut-name=YamaguchiKohhei en-aut-sei=Yamaguchi en-aut-mei=Kohhei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics University of Electro-Communications en-keyword=homotopy type kn-keyword=homotopy type en-keyword=algebraic map kn-keyword=algebraic map en-keyword=Hurewicz-Radon numbers kn-keyword=Hurewicz-Radon numbers END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=1 end-page=32 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=SOME REMARKS ON LUCAS PSEUDOPRIMES en-subtitle= kn-subtitle= en-abstract= kn-abstract=We present a way of viewing Lucas pseudoprimes, Euler-Lucas pseudoprimes and strong Lucas pseudoprimes in the context of group schemes. This enables us to treat the Lucas pseudoprimalities in parallel to establish pseudoprimes, Euler pseudoprimes and strong pseudoprimes. en-copyright= kn-copyright= en-aut-name=SuwaNoriyuki en-aut-sei=Suwa en-aut-mei=Noriyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science and Engineerings Chuo University en-keyword=primality test kn-keyword=primality test en-keyword=group scheme kn-keyword=group scheme END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=133 end-page=143 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=CONTROLLABILITY OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS VIA SEMIGROUP THEORY IN BANACH SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper focuses on controllability results of fractional integrodifferential systems in Banach spaces. We obtain sufficient conditions for the controllability results by using fractional calculus, semi-group theory and the fixed point theorem. en-copyright= kn-copyright= en-aut-name=HaziMohammed en-aut-sei=Hazi en-aut-mei=Mohammed kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BragdiMabrouk en-aut-sei=Bragdi en-aut-mei=Mabrouk kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics ?cole Normale Sup?rieure affil-num=2 en-affil= kn-affil=Department of Mathematics Larbi Ben M'hidi University en-keyword=Controllability kn-keyword=Controllability en-keyword=Integrodifferential system kn-keyword=Integrodifferential system en-keyword=Fractional calculus kn-keyword=Fractional calculus en-keyword=Semigroup theory kn-keyword=Semigroup theory en-keyword=Fixed point theorem kn-keyword=Fixed point theorem END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=145 end-page=211 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON MEANS OF BANACH-SPACE-VALUED FUNCTIONS en-subtitle= kn-subtitle= en-abstract= kn-abstract=We continue to study relations among exponential and polynomial growth orders of the ƒÁ-th order Ces?ro means (ƒÁ?0) and of the Abel mean for a Banach-space-valued function u on the interval [0,‡). We have already studied the problem for a continuous function u. Now we assume that u is a locally integrable function in a Banach space or an improperly locally integrable positive function in a Banach lattice. en-copyright= kn-copyright= en-aut-name=SatoRyotaro en-aut-sei=Sato en-aut-mei=Ryotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Okayama University en-keyword=Ces?ro mean kn-keyword=Ces?ro mean en-keyword=Abel mean kn-keyword=Abel mean en-keyword=exponential growth order kn-keyword=exponential growth order en-keyword=polynomial growth order kn-keyword=polynomial growth order en-keyword=locally integrable function kn-keyword=locally integrable function en-keyword=improperly locally integrable function kn-keyword=improperly locally integrable function END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=33 end-page=48 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=HILBERT-SPEISER NUMBER FIELDS AND STICKELBERGER IDEALS; THE CASE p = 2 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We say that a number field F satisfies the condition (HŒ2m) when any abelian extension of exponent dividing 2m has a normal basis with respect to rings of 2-integers. We say that it satisfies (HŒ 2‡) when it satisfies (HŒ 2m) for all m. We give a condition for F to satisfy (H'2m), and show that the imaginary quadratic fields F = Q(ã?1) and Q(ã?2) satisfy the very strong condition (HŒ 2‡) if the conjecture that h+2m = 1 for all m is valid. Here, h+2m) is the class number of the maximal real abelian field of conductor 2m. en-copyright= kn-copyright= en-aut-name=IchimuraHumio en-aut-sei=Ichimura en-aut-mei=Humio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Faculty of Science, Ibaraki University en-keyword=Hilbert-Speiser number field kn-keyword=Hilbert-Speiser number field en-keyword=Stickelberger ideal kn-keyword=Stickelberger ideal en-keyword=normal integral basis kn-keyword=normal integral basis END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=87 end-page=96 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE TANGENT BUNDLES OVER EQUIVARIANT REAL PROJECTIVE SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=let G be a nontrivial cyclic group of odd order. In the present paper, we will prove that the fourfold Whitney sum of the tangent bundle of real projective plane of any three dimensional nontrivial real G-representation is equivariantly a product bundle. en-copyright= kn-copyright= en-aut-name=QiYan en-aut-sei=Qi en-aut-mei=Yan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Guraduate School of Natural Science and Technology Okayama University en-keyword=equivariant real vector bundle kn-keyword=equivariant real vector bundle en-keyword=group action kn-keyword=group action en-keyword=real projective space kn-keyword=real projective space en-keyword=canonical line bundle kn-keyword=canonical line bundle en-keyword=product bundle kn-keyword=product bundle en-keyword=tangent bundle kn-keyword=tangent bundle END start-ver=1.4 cd-journal=joma no-vol=54 cd-vols= no-issue=1 article-no= start-page=97 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=HOMOGENIZATION OF NON-LINEAR VARIATIONAL PROBLEMS WITH THIN INCLUSIONS en-subtitle= kn-subtitle= en-abstract= kn-abstract=We are concerned in this work with the asymptotic behavior of an assemblage whose components are a thin inclusion with higher rigidity modulus included into an elastic body. We aim at finding the approximating energy functional of the above structure in a ƒ¡-convergence framework, and making use also of the subadditive theorem and the blow-up method. en-copyright= kn-copyright= en-aut-name=MoussaAbdelaziz A?t en-aut-sei=Moussa en-aut-mei=Abdelaziz A?t kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Zla?jiLoubna en-aut-sei=Zla?ji en-aut-mei=Loubna kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics and Informatics Faculty of Science, Mohammed Premier University affil-num=2 en-affil= kn-affil=Department of Mathematics and Informatics, Faculty of Science, Mohammed Premier University en-keyword=blow-up kn-keyword=blow-up en-keyword=ƒ¡-convergence kn-keyword=ƒ¡-convergence en-keyword=subadditive theorem kn-keyword=subadditive theorem END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=1 end-page=37 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ASYMPTOTIC ANALYSIS FOR GREEN FUNCTIONS OF AHARONOV-BOHM HAMILTONIAN WITH APPLICATION TO RESONANCE WIDTHS IN MAGNETIC SCATTERING en-subtitle= kn-subtitle= en-abstract= kn-abstract=The Aharonov?Bohm Hamiltonian is the energy operator which governs quantum particles moving in a solenoidal field in two dimensions. We analyze asymptotic properties of its Green function with spectral parameters in the unphysical sheet. As an application, we discuss the lower bound on resonance widths for scattering by two magnetic fields with compact supports at large separation. The bound is evaluated in terms of backward scattering amplitudes by a single magnetic field. A special emphasis is placed on analyzing how a trajectory oscillating between two magnetic fields gives rise to resonances near the real axis, as the distance between two supports goes to infinity. We also refer to the relation to the semiclassical resonance theory for scattering by two solenoidal fields. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov-Bohm Hamiltonian kn-keyword=Aharonov-Bohm Hamiltonian en-keyword=Green function kn-keyword=Green function en-keyword=magnetic Schr?dinger operator kn-keyword=magnetic Schr?dinger operator en-keyword=scattering amplitude kn-keyword=scattering amplitude en-keyword=resonance width kn-keyword=resonance width END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=167 end-page=172 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A CAUCHY-KOWALEVSKI THEOREM FOR INFRAMONOGENIC FUNCTIONS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper we prove a Cauchy-Kowalevski theorem for the functions satisfying the system ÝxfÝx = 0 (called inframonogenic functions). en-copyright= kn-copyright= en-aut-name=MalonekHelmuth R. en-aut-sei=Malonek en-aut-mei=Helmuth R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Pe?aDixan Pe?a en-aut-sei=Pe?a en-aut-mei=Dixan Pe?a kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SommenFrank en-aut-sei=Sommen en-aut-mei=Frank kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Aveiro University affil-num=2 en-affil= kn-affil=Department of Mathematics Aveiro University affil-num=3 en-affil= kn-affil=Department of Mathematical Analysis Ghent University en-keyword=Inframonogenic functions kn-keyword=Inframonogenic functions en-keyword=Cauchy-Kowalevski theorem kn-keyword=Cauchy-Kowalevski theorem END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=173 end-page=183 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE UNIFORM EXPONENTIAL STABILITY OF LINEAR SKEW-PRODUCT SEMIFLOWS ON REAL HILBERT SPACE en-subtitle= kn-subtitle= en-abstract= kn-abstract=The goal of the paper is to present some characterizations for the uniform exponential stability of linear skew-product semiflows on real Hilbert space. en-copyright= kn-copyright= en-aut-name=HaiPham Viet en-aut-sei=Hai en-aut-mei=Pham Viet kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ThanhLe Ngoc en-aut-sei=Thanh en-aut-mei=Le Ngoc kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Faculty of Mathematics, Mechanics and Informatics, College Of Science, Viet Nam National University affil-num=2 en-affil= kn-affil=Basic Science, Hoa Binh University en-keyword=stability kn-keyword=stability en-keyword=linear skew-product semiflow kn-keyword=linear skew-product semiflow END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=155 end-page=165 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=AN EXPLICIT PSp4(3)-POLYNOMIAL WITH 3 PARAMETERS OF DEGREE 40 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We will give an explicit polynomial over ? with 3 parameters of degree 40 as a result of the inverse Galois problem. Its Galois group over ? (resp. ?(ã-3)) is isomorphic to PGSp4(3) (resp. PSp4(3)) and it is a regular PSp4(3)-polynomial over ?(pã?3). To construct the polynomial and prove its properties above we use some results of Siegel modular forms and permutation group theory. en-copyright= kn-copyright= en-aut-name=KitayamaHidetaka en-aut-sei=Kitayama en-aut-mei=Hidetaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Graduate School of Science, Osaka University en-keyword=inverse Galois problem kn-keyword=inverse Galois problem en-keyword=explicit polynomials kn-keyword=explicit polynomials en-keyword=Siegel modular forms kn-keyword=Siegel modular forms END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=185 end-page=216 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=TRIANGLE CENTERS DEFINED BY QUADRATIC POLYNOMIALS en-subtitle= kn-subtitle= en-abstract= kn-abstract=We consider a family of triangle centers whose barycentric coordinates are given by quadratic polynomials, and determine the lines that contain an infinite number of such triangle centers. We show that for a given quadratic triangle center, there exist in general four principal lines through this center. These four principal lines possess an intimate connection with the Nagel line. en-copyright= kn-copyright= en-aut-name=AgaokaYoshio en-aut-sei=Agaoka en-aut-mei=Yoshio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Graduate School of Science, Hiroshima University en-keyword=triangle center kn-keyword=triangle center en-keyword=generalized Euler line kn-keyword=generalized Euler line en-keyword=Nagel line kn-keyword=Nagel line en-keyword=principal line kn-keyword=principal line en-keyword=Ceva conjugate kn-keyword=Ceva conjugate en-keyword=isotomic conjugate kn-keyword=isotomic conjugate en-keyword=symmetric polynomial kn-keyword=symmetric polynomial END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=129 end-page=154 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ABSTRACT LOCAL COHOMOLOGY FUNCTORS en-subtitle= kn-subtitle= en-abstract= kn-abstract=We propose to define the notion of abstract local cohomology functors. The ordinary local cohomology functor Rƒ¡I with support in the closed subset defined by an ideal I and the generalized local cohomology functor Rƒ¡I,J defined in [16] are characterized as elements of the set of all the abstract local cohomology functors. en-copyright= kn-copyright= en-aut-name=YoshinoYuji en-aut-sei=Yoshino en-aut-mei=Yuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YoshizawaTakeshi en-aut-sei=Yoshizawa en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Natural Science and Technology Okayama University affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology Okayama University en-keyword=local cohomology kn-keyword=local cohomology en-keyword=stable t-structure kn-keyword=stable t-structure END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=39 end-page=53 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=LIFTED CODES OVER FINITE CHAIN RINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we study lifted codes over finite chain rings. We use ƒÁ-adic codes over a formal power series ring to study codes over finite chain rings. en-copyright= kn-copyright= en-aut-name=DoughertySteven T. en-aut-sei=Dougherty en-aut-mei=Steven T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=LiuHongwei en-aut-sei=Liu en-aut-mei=Hongwei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=ParkYoung Ho en-aut-sei=Park en-aut-mei=Young Ho kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics University of Scranton affil-num=2 en-affil= kn-affil=Department of Mathematics Huazhong Normal University affil-num=3 en-affil= kn-affil=Department of Mathematics Kangwon National University en-keyword=Finite chain rings kn-keyword=Finite chain rings en-keyword=lifted codes kn-keyword=lifted codes en-keyword=ƒÁ-adic codes kn-keyword=ƒÁ-adic codes END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=55 end-page=74 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=PROJECTIVE STRUCTURES AND AUTOMORPHIC PSEUDODIFFERENTIAL OPERATORS en-subtitle= kn-subtitle= en-abstract= kn-abstract=Automorphic pseudodifferential operators are pseudodifferential operators that are invariant under an action of a discrete subgroup ƒ¡ of SL(2,?), and they are closely linked to modular forms. In particular, there is a lifting map from modular forms to automorphic pseudodifferential operators, which can be interpreted as a lifting morphism of sheaves over the Riemann surface X associated to the given discrete subgroup ƒ¡. One of the questions raised in a paper by Cohen, Manin, and Zagier is whether the difference in the images of a local section of a sheaf under such lifting morphisms corresponding to two projective structures on X can be expressed in terms of certain Schwarzian derivatives. The purpose of this paper is to provide a positive answer to this question for some special cases. en-copyright= kn-copyright= en-aut-name=LeeMin Ho en-aut-sei=Lee en-aut-mei=Min Ho kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics University of Northern Iowa en-keyword=Automorphic pseudodifferential operators kn-keyword=Automorphic pseudodifferential operators en-keyword=modular forms kn-keyword=modular forms en-keyword=Schwarzian derivatives kn-keyword=Schwarzian derivatives END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=75 end-page=82 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=TORSION OF ELLIPTIC CURVES OVER QUADRATIC CYCLOTOMIC FIELDS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper we study the possible torsions of elliptic curves over ?(i) and ?(ã?3). en-copyright= kn-copyright= en-aut-name=NajmanFilip en-aut-sei=Najman en-aut-mei=Filip kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics University of Zagreb END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=83 end-page=100 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=FP-GR-INJECTIVE MODULES en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we give some characterizations of FP-grinjective R-modules and graded right R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective envelopes and FP-gr-injective covers. We also prove that (1) (Ûgr-FI, gr-FI) is a hereditary cotorsion theory if and only if R is a left gr-coherent ring, (2) If R is right gr-coherent with FP-gr-id(RR) ? n, then (gr-FIn, gr-F nÛ) is a perfect cotorsion theory, (3) (Ûgr-FIn, gr-FIn) is a cotorsion theory, where gr-FI denotes the class of all FP-gr-injective left R-modules, gr-FIn is the class of all graded right R-modules of FP-gr-injective dimension at most n. Some applications are given. en-copyright= kn-copyright= en-aut-name=YangXiaoyan en-aut-sei=Yang en-aut-mei=Xiaoyan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=LiuZhongkui en-aut-sei=Liu en-aut-mei=Zhongkui kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Northwest Normal University affil-num=2 en-affil= kn-affil=Department of Mathematics Northwest Normal University en-keyword=FP-gr-injective module kn-keyword=FP-gr-injective module en-keyword=graded flat module kn-keyword=graded flat module en-keyword=envelope and cover kn-keyword=envelope and cover en-keyword=cotorsion theory kn-keyword=cotorsion theory END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=101 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON ALMOST N-SIMPLE-PROJECTIVES en-subtitle= kn-subtitle= en-abstract= kn-abstract=The concept of almost N-projectivity is defined in [5] by M. Harada and A. Tozaki to translate the concept "lifting module" in terms of homomorphisms. In [6, Theorem 1] M. Harada defined a little weaker condition "almost N-simple-projecive" and gave the following relationship between them: For a semiperfect ring R and R-modules M and N of finite length, M is almost N-projective if and only if M is almost N-simple-projective. We remove the assumption "of finite length" and give the result in Theorem 5 as follows: For a semiperfect ring R, a finitely generated right R-module M and an indecomposable right R-module N of finite Loewy length, M is almost N-projective if and only if M is almost N-simple-projective. We also see that, for a semiperfect ring R, a finitely generated R-module M and an R-module N of finite Loewy length, M is N-simple-projective if and only if M is N-projective. en-copyright= kn-copyright= en-aut-name=BabaYoshitomo en-aut-sei=Baba en-aut-mei=Yoshitomo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YamazakiTakeshi en-aut-sei=Yamazaki en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Osaka-Kyoiku University affil-num=2 en-affil= kn-affil=Osaka Prefectual Senriseiun Senior High School en-keyword=ring kn-keyword=ring en-keyword=module kn-keyword=module en-keyword=almot projective kn-keyword=almot projective en-keyword=almost simple-projective kn-keyword=almost simple-projective END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=111 end-page=127 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=NOTE ON SYMMETRIC HILBERT SERIES en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KamoiYuji en-aut-sei=Kamoi en-aut-mei=Yuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=School of Commerce Meiji University END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=77 end-page=87 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=SERIALLY COALESCENT CLASSES OF LIE ALGEBRAS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We introduce the concept of serially coalescent classes of Lie algebras corresponding to those of coalescent classes and ascendantly coalescent classes. We show that the class of finite-dimensional and nilpotent, the class of finite-dimensional and the class of finite-dimensional and soluble Lie algebras, are serially coalescent classes for locally finite Lie algebras over any field of characteristic zero. We also introduce the concept of locally serially coalescent classes of Lie algebras and find some locally serially coalescent classes for locally finite Lie algebras.

en-copyright= kn-copyright= en-aut-name=HondaMasanobu en-aut-sei=Honda en-aut-mei=Masanobu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SakamotoTakanori en-aut-sei=Sakamoto en-aut-mei=Takanori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Faculty of Pharmaceutidal Sciences, Niigata University of Pharmacy and Applied Life Sciences affil-num=2 en-affil= kn-affil=Department of Mathematics, Fukuoka University of Education en-keyword=Lie algebra kn-keyword=Lie algebra en-keyword=serial subalgebra kn-keyword=serial subalgebra en-keyword=coalescent class kn-keyword=coalescent class END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=143 end-page=146 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON SELF MAPS OF HPn FOR n = 4 AND 5 en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We determine the cardinality of the set of the homotopy classes of self maps of HP4 with degree 0. And we shall determine the nilpotency of HP5.

en-copyright= kn-copyright= en-aut-name=Kat?giKazuyoshi en-aut-sei=Kat?gi en-aut-mei=Kazuyoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=133 end-page=142 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=EXPONENTIAL GENERALIZED DISTRIBUTIONS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper we generalize the Fourier transform from the space of tempered distributions to a bigger space called exponential generalized distributions. For that purpose we replace the Schwartz space S by a smaller space X0 of smooth functions such that, among other properties, decay at infinity faster than any exponential. The construction of X0 is such that this space of test functions is closed for derivatives, for Fourier transform and for translations. We equip X0 with an appropriate locally convex topology and we study itfs dual X'0; we call X′0 the space of exponential generalized distributions. The space X′0 contains all the Schwartz tempered distributions, is closed for derivatives, and both, translations and Fourier transform, are vector and topological automorphisms in X′0. As non trivial examples of elements in X′0, we show that some multipole series appearing in physics are convergent in this space.

en-copyright= kn-copyright= en-aut-name=GordonM. en-aut-sei=Gordon en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=LouraL. en-aut-sei=Loura en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Departamento de Matem?tica e Engenharias, Universidade da Madeira affil-num=2 en-affil= kn-affil=Departamento de Engenharia Electrot?cnica e Automa??o Sec??o de Matem?tica en-keyword=Distribution kn-keyword=Distribution en-keyword=Ultradistribution kn-keyword=Ultradistribution en-keyword=Multipole series kn-keyword=Multipole series en-keyword=Fourier transform kn-keyword=Fourier transform END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=133 end-page=142 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A GENERAL INEQUALITY FOR DOUBLY WARPED PRODUCT SUBMANIFOLDS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper, we consider doubly warped product manifolds and we establish a general inequality for doubly warped products isometrically immersed in arbitrary Riemannian manifolds. Some aplications are derived.

en-copyright= kn-copyright= en-aut-name=OlteanuAndreea en-aut-sei=Olteanu en-aut-mei=Andreea kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Faculty of Mathematics and Computer Science, University of Bucharest en-keyword=Doubly warped product kn-keyword=Doubly warped product en-keyword=Laplacian kn-keyword=Laplacian en-keyword=mean curvature kn-keyword=mean curvature en-keyword=generalized Sasakian space form kn-keyword=generalized Sasakian space form en-keyword=Sasakian space form kn-keyword=Sasakian space form en-keyword=C-totally real submanifold kn-keyword=C-totally real submanifold END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=1 end-page=28 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ARITHMETIC ELLIPTIC CURVES IN GENERAL POSITION en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We combine various well-known techniques from the theory of heights, the theory of gnoncritical Belyi mapsh, and classical analytic number theory to conclude that the gABC Conjectureh, or, equivalently, the so-called gEffective Mordell Conjectureh, holds for arbitrary rational points of the projective line minus three points if and only if it holds for rational points which are in gsufficiently general positionh in the sense that the following properties are satisfied: (a) the rational point under consideration is bounded away from the three points at infinity at a given finite set of primes; (b) the Galois action on the l-power torsion points of the corresponding elliptic curve determines a surjection onto GL2(Zl), for some prime number l which is roughly of the order of the sum of the height of the elliptic curve and the logarithm of the discriminant of the minimal field of definition of the elliptic curve, but does not divide the conductor of the elliptic curve, the rational primes that are absolutely ramified in the minimal field of definition of the elliptic curve, or the local heights [i.e., the orders of the q-parameter at primes of [bad] multiplicative reduction] of the elliptic curve.

en-copyright= kn-copyright= en-aut-name=MochizukiShinichi en-aut-sei=Mochizuki en-aut-mei=Shinichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Research Institute for Mathematical Sciences Kyoto University en-keyword=elliptic curve kn-keyword=elliptic curve en-keyword=number field kn-keyword=number field en-keyword=Belyi map kn-keyword=Belyi map en-keyword=ABC Conjecture kn-keyword=ABC Conjecture en-keyword=Mordell Conjecture kn-keyword=Mordell Conjecture en-keyword=Vojta Conjecture kn-keyword=Vojta Conjecture END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=179 end-page=198 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=INFINITE MATRICES ASSOCIATED WITH POWER SERIES AND APPLICATION TO OPTIMIZATION AND MATRIX TRANSFORMATIONS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper we first recall some properties of triangle Toeplitz matrices of the Banach algebra Sr associated with power series. Then for boolean Toeplitz matrices M we explicitly calculate the product MN that gives the number of ways with N arcs associated with M. We compute the matrix BN (i, j), where B (i, j) is an infinite matrix whose the nonzero entries are on the diagonals m − n = i or m − n = j. Next among other things we consider the infinite boolean matrix B+∞ that have infinitely many diagonals with nonzero entries and we explicitly calculate (B+∞)N. Finally we give necessary and sufficient conditions for an infinite matrix M to map c (BN (i, 0)) to c.

en-copyright= kn-copyright= en-aut-name=MalafosseBruno de en-aut-sei=Malafosse en-aut-mei=Bruno de kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YassineAdnan en-aut-sei=Yassine en-aut-mei=Adnan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil= affil-num=2 en-affil= kn-affil=LMAH Universit? du Havre en-keyword=Matrix transformations kn-keyword=Matrix transformations en-keyword=Banach algebra kn-keyword=Banach algebra en-keyword=boolean infinite matrix kn-keyword=boolean infinite matrix en-keyword=optimization kn-keyword=optimization END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=89 end-page=95 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A NOTE ON QUASI-ARMENDARIZ RINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

A ring R is called a quasi-Armendariz ring if whenever elements α = a0+a1x+a2x2+? ? ?+anxn, β = b0+b1x+b2x2+? ? ?+bmxm ∈ R[x] satisfy αR[x]β = 0, then aiRbj = 0 for each i, j. In this note we consider quasi-Armendariz property of a special subring of the infinite upper triangular matrix ring over a ring R.

en-copyright= kn-copyright= en-aut-name=ZhongkuiLiu en-aut-sei=Zhongkui en-aut-mei=Liu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=WenhuiZhang en-aut-sei=Wenhui en-aut-mei=Zhang kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Northwest Normal University affil-num=2 en-affil= kn-affil=Department of Mathematics, Northwest Normal University en-keyword=Armendariz ring kn-keyword=Armendariz ring en-keyword=quasi-Armendariz ring kn-keyword=quasi-Armendariz ring en-keyword=left APP-ring kn-keyword=left APP-ring END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=29 end-page=43 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=TRADING DEGREE FOR DIMENSION IN THE SECTION CONJECTURE: THE NON-ABELIAN SHAPIRO LEMMA en-subtitle= kn-subtitle= en-abstract= kn-abstract=

This note aims at providing evidence for the section conjecture of anabelian geometry by establishing its behaviour under Weil restriction of scalars. In particular, the ?tale fundamental group of the Weil restriction is determined by means of a Shapiro Lemma for nonabelian group cohomology.

en-copyright= kn-copyright= en-aut-name=StixJakob en-aut-sei=Stix en-aut-mei=Jakob kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Mathematisches Institut, Universit?t Heidelberg en-keyword=Section Conjecture kn-keyword=Section Conjecture en-keyword=Rational points kn-keyword=Rational points en-keyword=Anabelian Geometry kn-keyword=Anabelian Geometry en-keyword=Non-abelian Shapiro Lemma kn-keyword=Non-abelian Shapiro Lemma END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=123 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=SOME PROPERTIES OF EF-EXTENDING RINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In [16], Thuyet and Wisbauer considered the extending property for the class of (essentially) finitely generated submodules. A module M is called ef-extending if every closed submodule which contains essentially a finitely generated submodule is a direct summand of M. A ring R is called right ef-extending if RR is an ef-extending module. We show that a ring R is right ef-extending and the R-dual of every simple left R-module is simple if and only if R is semiperfect right continuous with Sl = Sl ≤e RR. We also prove that a ring R is a QF-ring if and only if R is left Kasch and RR(ω) is ef-extending if and only if R is right AGP-injective satisfying DCC on right (or left) annihilators and (R ⊕ R)R is ef-extending.

en-copyright= kn-copyright= en-aut-name=QuynhTruong Cong en-aut-sei=Quynh en-aut-mei=Truong Cong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ThuyetLe Van en-aut-sei=Thuyet en-aut-mei=Le Van kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Danang University affil-num=2 en-affil= kn-affil=Department of Mathematics, Hue University en-keyword=ef-extending rings kn-keyword=ef-extending rings en-keyword=extending (or CS) rings kn-keyword=extending (or CS) rings en-keyword=PF rings kn-keyword=PF rings en-keyword=QF rings kn-keyword=QF rings END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=97 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly　rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R. Then the skew monoid ring R*S induced by α has the same triangulating dimension as R. Furthermore, if R is a PWP ring, then so is R*S.

en-copyright= kn-copyright= en-aut-name=ZhongkuiLiu en-aut-sei=Zhongkui en-aut-mei=Liu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=XiaoyanYang en-aut-sei=Xiaoyan en-aut-mei=Yang kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Northwest Normal University affil-num=2 en-affil= kn-affil=Department of Mathematics, Northwest Normal University en-keyword=generalized triangular matrix representation kn-keyword=generalized triangular matrix representation en-keyword=quasi-Baer ring kn-keyword=quasi-Baer ring en-keyword=PWP ring kn-keyword=PWP ring en-keyword=triangulating dimension kn-keyword=triangulating dimension END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=111 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON GENERALIZED EPI-PROJECTIVE MODULES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

A module M is said to be generalized N-projective (or N-dual ojective) if, for any epimorphism g : N → X and any homomorphism f : M → X, there exist decompositions M = M1 ⊕ M2, N = N1 ⊕ N2, a homomorphism h1 : M1 → N1 and an epimorphism h2 : N2 → M2 such that g ◦ h1 = f|M1 and f ◦ h2 = g|N2 . This relative projectivity is very useful for the study on direct sums of lifting modules (cf. [5], [7]). In the definition, it should be noted that we may often consider the case when f to be an epimorphism. By this reason, in this paper we define relative (strongly) generalized epi-projective modules and show several results on this generalized epi-projectivity. We apply our results to the known problem when finite direct sums M1⊕? ? ?⊕Mn of lifting modules Mi (i = 1, ? ? ? , n) is lifting.

en-copyright= kn-copyright= en-aut-name=T?t?nc?Derya Keskin en-aut-sei=T?t?nc? en-aut-mei=Derya Keskin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KuratomiYosuke en-aut-sei=Kuratomi en-aut-mei=Yosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Hacettepe University affil-num=2 en-affil= kn-affil=Kitakyushu National College of Technology en-keyword=(strongly) generalized epi-projective module kn-keyword=(strongly) generalized epi-projective module en-keyword=lifting module kn-keyword=lifting module END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=45 end-page=60 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE BELYI FUNCTIONS AND DESSIN DfENFANTS CORRESPONDING TO THE NON-NORMAL INCLUSIONS OF TRIANGLE GROUPS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We present the Belyi functions, dessin dfenfants, and monodromy permutations corresponding to the non-normal inclusions of triangle groups.

en-copyright= kn-copyright= en-aut-name=HoshinoKenji en-aut-sei=Hoshino en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=61 end-page=63 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=BELYI FUNCTION ON X0(49) OF DEGREE 7 en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HoshinoKenji en-aut-sei=Hoshino en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakamuraHiroaki en-aut-sei=Nakamura en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=65 end-page=75 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON FUCHSIAN GROUPS WITH THE SAME SET OF FIXED POINTS OF PARABOLIC ELEMENTS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

There is an open question whether Fuchsian groups having the same set of the axes of hyperbolic elements are commensurable or not. In this note, we consider an analogous question where the axes are replaced with the fixed points of parabolic elements.

en-copyright= kn-copyright= en-aut-name=MaedaTae en-aut-sei=Maeda en-aut-mei=Tae kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Institute of Mathematics and Computer Science, Tsuda College en-keyword=Fuchsian group kn-keyword=Fuchsian group en-keyword=arithmetic kn-keyword=arithmetic en-keyword=commensurable kn-keyword=commensurable END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=147 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=SOME APPLICATIONS OF DIFFERENTIAL SUBORDINATION FOR A GENERAL CLASS OF MULTIVALENTLY ANALYTIC FUNCTIONS INVOLVING A CONVOLUTION STRUCTURE en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In the present paper we investigate a class of multivalently analytic functions which essentially involves a Hadamard product of two multivalent functions. We apply the techniques of differential subordination and derive some useful characteristics of this function class. The applications to generalized hypergeometric functions and various consequences of the main results exhibiting also relevant connections with some of the known (and new) results (including also an improved version of a known result) are also pointed out.

en-copyright= kn-copyright= en-aut-name=PrajapatJ. K. en-aut-sei=Prajapat en-aut-mei=J. K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=RainaR. K. en-aut-sei=Raina en-aut-mei=R. K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Central University of Rajasthan affil-num=2 en-affil= kn-affil= en-keyword=Multivalently analytic functions kn-keyword=Multivalently analytic functions en-keyword=Hadamard product (or convolution) kn-keyword=Hadamard product (or convolution) en-keyword=Differential subordination kn-keyword=Differential subordination en-keyword=Hypergeometric functions kn-keyword=Hypergeometric functions en-keyword=Linear operators kn-keyword=Linear operators en-keyword=Wrightfs generalized hypergeometric function kn-keyword=Wrightfs generalized hypergeometric function END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=199 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=CORRECTION: RESULTS ON PRIME NEAR-RINGS WITH (ƒÐ,ƒÑ)-DERIVATION en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=G?lba?i?znur en-aut-sei=G?lba?i en-aut-mei=?znur kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AydinNe?et en-aut-sei=Aydin en-aut-mei=Ne?et kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Cumhuriyet University affil-num=2 en-affil= kn-affil=?anakkale 18 Mart University en-keyword=Prime Near-Ring kn-keyword=Prime Near-Ring en-keyword=Derivation kn-keyword=Derivation en-keyword=(ƒÐ,ƒÑ)-Derivation kn-keyword=(ƒÐ,ƒÑ)-Derivation END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=149 end-page=157 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE SPACE Lq OF DOUBLE SEQUENCES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

The spaces BS, BS(t), CSp, CSbp, CSr and BV of double sequences have recently been studied by Altay and Ba?sar [J. Math. Anal. Appl. 309(1)(2005), 70?90]. In this work, following Altay and Ba?sar [1], we introduce the Banach space Lq of double sequences corresponding to the well-known space ℓq of single sequences and examine some properties of the space Lq. Furthermore, we determine the β(υ)-dual of the space and establish that the α- and γ-duals of the space Lq coincide with the β(υ)-dual; where 1 ≤ q < ∞ and υ 2 {p, bp, r}.

en-copyright= kn-copyright= en-aut-name=BasarFeyzi en-aut-sei=Basar en-aut-mei=Feyzi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SeverYurdal en-aut-sei=Sever en-aut-mei=Yurdal kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Fatih ?niversitesi, Fen- Edebiyat Fak?ltesi, Matematik B?l?m? affil-num=2 en-affil= kn-affil=Fen Lisesi Matematik ?gretmeni END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=121 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=SOME IDENTITIES RELATING MOCK THETA FUNCTIONS WHICH ARE DERIVED FROM DENOMINATOR IDENTITY en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We show that there exists a new connection between identities satisfied by mock theta functions and special case of denominator identities for affine Lie superalgebras.

en-copyright= kn-copyright= en-aut-name=SanadaYukari en-aut-sei=Sanada en-aut-mei=Yukari kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Tsuda College END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=1 end-page=26 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON THE FUNDAMENTAL GROUPS OF LOG CONFIGURATION SCHEMES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In the present paper, we study the cuspidalization problem for the fundamental group of a curve by means of the log geometry of the log configuration scheme, which is a natural compactification of the usual configuration space of the curve. The goal of this paper is to show that the fundamental group of the configuration space is generated by the images from morphisms from a group extension of the fundamental groups of the configuration spaces of lower dimension, and that the fundamental group of the configuration space can be partially reconstructed from a collection of data concerning the fundamental groups of the configuration spaces of lower dimension.

en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Research Institute for Mathematical Sciences Kyoto University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=83 end-page=100 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=NAKAYAMA ISOMORPHISMS FOR THE MAXIMAL QUOTIENT RING OF A LEFT HARADA RING en-subtitle= kn-subtitle= en-abstract= kn-abstract=

From several results of Kado and Oshiro, we see that if the maximal quotient ring of a given left Harada ring R of type (*) has a Nakayama automorphism, then R has a Nakayama isomorphism. This result poses a question whether if the maximal quotient ring of a given left Harada ring R has a Nakayama isomorphism, then R has a Nakayama isomorphism. In this paper, we shall show that a basic ring of the maximal quotient ring of a given Harada ring has a Nakayama isomorphism if and only if its Harada ring has a Nakayama isomorphism.

en-copyright= kn-copyright= en-aut-name=NonomuraKazuaki en-aut-sei=Nonomura en-aut-mei=Kazuaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of General Science Tsuruoka National College of Technology END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=47 end-page=69 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON ι-ADIC ITERATED INTEGRALS, IV -Ramification and generators of Galois actions on fundamental groups and torsors of paths en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We are studying Galois representations on fundamental groups and on torsors of paths of a projective line minus a finite number of points. We reprove by explicit calculations some known results about ramification properties of such representations. We calculate the number of generators in degree 1 of the images of these Galois representations. We show also that the number of linearly independent generators in degree greater than 1 is equal &franc12 φ(n) for the action of GQ(μ5) on the fundamental group of P1?Q \ ({0,∞} ∪ μn). Finally we show that the graded Lie algebra associated with the action of GQ(μ5) on the fundamental group of P1?Q \ ({0,∞} ∪ μ5) is not free.

en-copyright= kn-copyright= en-aut-name=WojtkowiakZdzislaw en-aut-sei=Wojtkowiak en-aut-mei=Zdzislaw kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Universit? des Sciences et Technologies de Lille END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=71 end-page=81 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=LINKAGE AND DUALITY OF MODULES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect linkage of modules to certain duality of modules. We deal with Gorenstein dimension, Cohen-Macaulay modules over a Gorenstein local ring using linkage and generalize the results to non-commutative algebras.

en-copyright= kn-copyright= en-aut-name=NishidaKenji en-aut-sei=Nishida en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematical Sciences, Shinshu University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=179 end-page=192 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=COMMUTATIVE GROUP ALGEBRAS OF ABELIAN GROUPS WITH UNCOUNTABLE POWERS AND LENGTHS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let F be a field of char(F) = p > 0 and G an abelian group with p-component Gp of cardinality at most ℵ1 and length at most ω1. The main affirmation on the Direct Factor Problem is that S(FG)/Gp is totally projective whenever F is perfect. This extends results due to May (Contemp. Math., 1989) and Hill-Ullery (Proc. Amer. Math. Soc., 1990). As applications to the Isomorphism Problem, suppose that for any group H the F-isomorphism FH ≅ FG holds. Then if Gp is totally projective, Hp ≅ Gp. This partially solves a problem posed by May (Proc. Amer. Math. Soc., 1988). In particular, H ≅ G provided G is p-mixed of torsion-free rank one so that Gp is totally projective. The same isomorphism H ≅ G is fulfilled when G is p-local algebraically compact too. Besides if Fp is the simple field with p-elements and Gp FpH is a coproduct of torsion complete groups, FpH ≅ FpG as Fp Fp-algebras implies Hp ≅ Gp. This expands the central theorem obtained by us in (Rend. Sem. Mat. Univ. Padova, 1999) and partly settles the generalized version of a question raised by May (Proc. Amer. Math. Soc.,1979) as well. As a consequence, when Gp is torsion complete and G is p-mixed of torsion-free rank one, H ≅ G. Moreover, if G is a coproduct of p-local algebraically compact groups then H ≅ G. The last attainment enlarges an assertion of Beers-Richman-Walker (Rend. Sem. Mat. Univ. Padova, 1983). Each of the reported achievements strengthens our statements in this direction (Southeast Asian Bull. Math., 2001-2002) and also continues own studies in this aspect (Hokkaido Math. J., 2000) and (Kyungpook Math. J., 2004).

en-copyright= kn-copyright= en-aut-name=DanchevPeter en-aut-sei=Danchev en-aut-mei=Peter kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Mathematical Department, Plovdiv State University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=101 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A NOTE ON ALMOST INJECTIVE MODULES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We give some new properties of almost injective modules and their endomorphism rings, and also provide conditions as to when a direct sum of almost injective (or CS) modules is again almost injective (or CS) in some special cases..

en-copyright= kn-copyright= en-aut-name=AlahmadiAdel en-aut-sei=Alahmadi en-aut-mei=Adel kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=JainSurender K. en-aut-sei=Jain en-aut-mei=Surender K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Ohio University affil-num=2 en-affil= kn-affil=Department of Mathematics, Ohio University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=193 end-page=201 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A NOTE ON CERTAIN METRICS ON R4+ en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OtsukiTominosuke en-aut-sei=Otsuki en-aut-mei=Tominosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=159 end-page=176 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=LOCALLY AND COLOCALLY FACTORABLE BANACH SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We generalize the concept of locality (resp. colocality) to the concept of locally factorable (resp. colocally factorable) such that Theorem 2 of [2] and Theorems 1.7 and 1.16 of [11] are still valid for the new concepts. In addition we show that locally factorable and colocally factorable are inherited by complemented subspace, then we present some examples and establish relations between locally factorable and colocally factorable. We prove some relations between being finitely (resp. cofinitely) represented in a Banach space and being locally factorable (resp. colocally factorable) some family of finite dimensional Banach spaces.

en-copyright= kn-copyright= en-aut-name=JamjoomF. B.H. en-aut-sei=Jamjoom en-aut-mei=F. B.H. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=JebreenH. M. en-aut-sei=Jebreen en-aut-mei=H. M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, King Saud University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science, King Saud University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=111 end-page=119 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON LIE IDEALS AND LEFT JORDAN ƒÐ-CENTRALIZERS OF 2-TORSION-FREE RINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

B. Zalar proved that any left (resp. right) Jordan centralizer on a 2-torsion-free semiprime ring is a left (resp. right) centralizer. We prove this question changing the semiprimality condition on R. The main result of this paper is the following. Let R be a 2-torsionfree ring which has a commutator right (resp. left) nonzero divisor and let G: R → R be left (resp. right) Jordan σ-centralizer mapping of , where σ is an automorphism of R. Then G is a left (resp. right) -centralizer mapping of R.

en-copyright= kn-copyright= en-aut-name=CortesWagner en-aut-sei=Cortes en-aut-mei=Wagner kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HaetingerClaus en-aut-sei=Haetinger en-aut-mei=Claus kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=INSTITUTO DE MATEM?TICA UNIVERSIDADE FEDERAL DO RIO GRANDE DO SUL affil-num=2 en-affil= kn-affil=CENTRO DE CI?NCIAS EXATAS E TECNOL?GICAS END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=27 end-page=46 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=RADIAL HEAT OPERATORS ON JACOBI-LIKE FORMS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We consider a differential operator DX λ associated to an integer λ acting on the space of formal power series, which may be regarded as the heat operator with respect to the radial coordinate in the 2λ-dimensional space for λ > 0. We show that DX λ carries Jacobilike forms of weight λ to ones of weight λ+2 and obtain the formula for the m-fold composite (DX λ )[m] of such operators. We then determine the corresponding operators on modular series and as well as on automorphic pseudodifferential operators.

en-copyright= kn-copyright= en-aut-name=LEEMin Ho en-aut-sei=LEE en-aut-mei=Min Ho kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, University of Northern Iowa END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=177 end-page=178 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=MULTIPLE POISSON KERNELS en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SpreaficoMauro en-aut-sei=Spreafico en-aut-mei=Mauro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=ICMC, Universidade de Sāo Paulo, Sāo Carlos END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=133 end-page=148 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON THE JORDAN DECOMPOSITION OF TENSORED MATRICES OF JORDAN CANONICAL FORMS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let κ be an algebraically closed field of characteristic p ≥ 0. We shall consider the problem of finding out a Jordan canonical form of J(α , s)⊗κJ(β , t), where J(α, s) means the Jordan block with eigenvalue α ∈ κ and size s.

en-copyright= kn-copyright= en-aut-name=IimaKei-ichiro en-aut-sei=Iima en-aut-mei=Kei-ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=IwamatsuRyo en-aut-sei=Iwamatsu en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=113 end-page=125 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Strong Convergence Theorems for Nonexpansive Mappings by Viscosity Approximation Methods in Banach Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper, we introduce a modified Ishikawa iterative process for a pair of nonexpansive mappings and obtain a strong convergence theorem in the framework of uniformly Banach spaces. Our results improve and extend the recent ones announced by Kim and Xu [T.H. Kim, H.K. Xu, Strong convergence of modified Mann iterations, Nonlinear Anal. 61 (2005) 51-60], Xu [H.K. Xu, Viscosity approximation methods for nonexpansive mappings. J. Math. Anal. Appl. 298 (2004) 279-291] and some others.

en-copyright= kn-copyright= en-aut-name=QinXiaolong en-aut-sei=Qin en-aut-mei=Xiaolong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SuYongfu en-aut-sei=Su en-aut-mei=Yongfu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=WuChangqun en-aut-sei=Wu en-aut-mei=Changqun kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Tianjin Polytechnic University affil-num=2 en-affil= kn-affil=Tianjin Polytechnic University affil-num=3 en-affil= kn-affil=Henan University en-keyword=Nonexpansive map; Iteration scheme; Sunny and nonexpansive retraction; viscosity method kn-keyword=Nonexpansive map; Iteration scheme; Sunny and nonexpansive retraction; viscosity method END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=201 end-page=203 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Lower Bound for the Rational LS-category of a Coformal Elliptic Space en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We give a lower bound for the rational LS-category of certain spaces, including the coformal elliptic ones, in terms of the dimension of its total rational cohomology.

en-copyright= kn-copyright= en-aut-name=YamaguchiToshihiro en-aut-sei=Yamaguchi en-aut-mei=Toshihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kochi University en-keyword=rational LS-category kn-keyword=rational LS-category en-keyword=elliptic space kn-keyword=elliptic space en-keyword=coformal space kn-keyword=coformal space en-keyword=minimal model kn-keyword=minimal model en-keyword=Toomer invariant kn-keyword=Toomer invariant END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=177 end-page=199 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=K-semimetrizabilities and C-stratifiabilities of Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YoshiokaIwao en-aut-sei=Yoshioka en-aut-mei=Iwao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=135 end-page=147 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Fine Spectra of the Ces?ro Operator C 1 over the Sequence Space bvp, (1 ≤ p ∞) en-subtitle= kn-subtitle= en-abstract= kn-abstract=

The sequence space bvp consisting of all sequences (xk) such that (xk - xk-1) in the sequence space lp has recently been introduced by Basar and Altay [Ukrainian Math. J. 55(1)(2003), 136-147]; where 1 ≤ p ≤ ∞. In the present paper, the norm of the Cesàro operator C1 acting on the sequence space bvp has been found and the fine spectrum of the Cesàro operator C1 over the sequence space bvp has been determined, where 1 ≤ p < ∞.

en-copyright= kn-copyright= en-aut-name=AkhmedovAli M. en-aut-sei=Akhmedov en-aut-mei=Ali M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BasarFeyzi en-aut-sei=Basar en-aut-mei=Feyzi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Baku State University affil-num=2 en-affil= kn-affil=Inonu University en-keyword=Spectrum of an operator kn-keyword=Spectrum of an operator en-keyword=Cesaro operator and the sequence space bvp kn-keyword=Cesaro operator and the sequence space bvp END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=149 end-page=160 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Unit Groups of Completely Primary Finite Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let R be a commutative completely primary finite ring with the unique maximal ideal J such that J3 = (0) and J2 ≠ (0): Then R⁄J ≅ GF(pr) and the characteristic of R is pk, where 1 ≤ k ≤ 3, for some prime p and positive integers k, r. Let Ro = GR (pkr,pk) be a galois subring of R so that R = Ro ⊕ U ⊕ V ⊕ W, where U, V and W are finitely generated Ro-modules. Let non-negative integers s, t and be numbers of elements in the generating sets for U, V and W, respectively. In this work, we determine the structure of the subgroup 1+W of the unit group R* in general, and the structure of the unit group R* of R when s = 3, t = 1; ≥ 1 and characteristic of R is p. We then generalize the solution of the cases when s = 2, t = 1; t = s(s +1)⁄2 for a fixed s; for all the characteristics of R ; and when s = 2, t = 2, and characteristic of R is p to the case when the annihilator ann(J ) = J2 + W, so that ≥ 1. This complements the author's earlier solution of the problem in the case when the annihilator of the radical coincides with the square of the radical.

en-copyright= kn-copyright= en-aut-name=ChikunjiChiteng'a John en-aut-sei=Chikunji en-aut-mei=Chiteng'a John kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Botswana College en-keyword=unit groups kn-keyword=unit groups en-keyword=completely primary finite rings kn-keyword=completely primary finite rings en-keyword=galois rings kn-keyword=galois rings END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=161 end-page=176 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Fox Spaces and Jacobi Identities en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In 1945, R. Fox introduced the so-called Fox torus homo- topy groups in which the usual homotopy groups are embedded and their Whitehead products are expressed as commutators. A modern treatment of Fox torus homotopy groups and their generalization has been given and studied. In this note, we further explore these groups and their properties. We discuss co-multiplications on Fox spaces and Jacobi identities for the generalized Whitehead products and the T- Whitehead products.

en-copyright= kn-copyright= en-aut-name=GolasinskiMarek en-aut-sei=Golasinski en-aut-mei=Marek kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Gon?alvesDaciberg Lima en-aut-sei=Gon?alves en-aut-mei=Daciberg Lima kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=WongPeter en-aut-sei=Wong en-aut-mei=Peter kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Nicolaus Copernicus University affil-num=2 en-affil= kn-affil=Departamento De Matem?tica affil-num=3 en-affil= kn-affil=Bates College en-keyword=Fox torus homotopy groups kn-keyword=Fox torus homotopy groups en-keyword=generalized Whitehead products kn-keyword=generalized Whitehead products en-keyword=Jacobi identity kn-keyword=Jacobi identity END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=85 end-page=99 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Imaginary Quadratic Fields whose Exponents are Less Than or Equal To Two en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We give a necessary condition for an imaginary quadratic field to have exponent less than or equal to two. Further we discuss relations of this condition with other necessary conditions studied by Möller and Mollin, and conjecture that these conditions are equivalent.

en-copyright= kn-copyright= en-aut-name=ShimizuKenichi en-aut-sei=Shimizu en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Senior High School en-keyword=imaginary quadratic field kn-keyword=imaginary quadratic field en-keyword=class number kn-keyword=class number en-keyword=exponent kn-keyword=exponent en-keyword=split prime kn-keyword=split prime END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=101 end-page=112 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On ƒ³-recurrent N(k)-contact Metric Manifolds en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper we prove that a Φ-recurrent N(k)-contact metric manifold is an η-Einstein manifold with constant coefficients. Next, we prove that a 3-dimensional Φ-recurrent N(k)-contact metric manifold is of constant curvature. The existence of a Φ-recurrent N(k)-contact metric manifold is also proved.

en-copyright= kn-copyright= en-aut-name=DeUday Chand en-aut-sei=De en-aut-mei=Uday Chand kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=GaziAboul Kalam en-aut-sei=Gazi en-aut-mei=Aboul Kalam kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Mathematics University affil-num=2 en-affil= kn-affil=Mathematics University en-keyword=N(k)-contact metric manifolds kn-keyword=N(k)-contact metric manifolds en-keyword=eta-Einstein manifold kn-keyword=eta-Einstein manifold en-keyword=Phi-recurrent N(k)-contact metric manifolds kn-keyword=Phi-recurrent N(k)-contact metric manifolds END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=63 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Central Gap Numbers of Symmetric Groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=

g(G) denotes the central gap number of a group G. We show that for n ≥ 8, g(Sn) ≥ n and g(An) ≥ n-2. We give exact values of g(Sn) and g(An) for small n's. In particular, g(S9) = 9 and g(A9) = 7. Therefore, for any positive integer n ≠ 1, 3, 5 there is a group G such that n = g(G). G can be finite or infinite.

en-copyright= kn-copyright= en-aut-name=KikyoHirotaka en-aut-sei=Kikyo en-aut-mei=Hirotaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kobe University en-keyword=central gap number kn-keyword=central gap number en-keyword=symmetric group kn-keyword=symmetric group en-keyword=alternating group kn-keyword=alternating group END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=1 end-page=61 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A New Class of Quasicyclic Complex Vector Functional Equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=

For the first time in the literature a quasicyclic complex vector functional equation is introduced in the present paper. By a matrix method the general quasicyclic complex vector functional equation is solved, as well as its particular case for n = 3. This case is completely solved in an explicit form, and for every step of the solution examples are provided. Using a simple spectral property of compound matrices, a necessary and sufficient condition for stability of the quasicyclic complex vector functional equation considered is proved.

en-copyright= kn-copyright= en-aut-name=RisteskiIce B. en-aut-sei=Risteski en-aut-mei=Ice B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=Quasicyclic complex vector functional equation kn-keyword=Quasicyclic complex vector functional equation END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=127 end-page=133 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Inverse Limits of Spaces with the Weak B-Property en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=BinZhao en-aut-sei=Bin en-aut-mei=Zhao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kashgar Teachers College en-keyword=inverse system kn-keyword=inverse system en-keyword=inverse limit space kn-keyword=inverse limit space en-keyword=weak B-property kn-keyword=weak B-property en-keyword=hereditarily weak B-property kn-keyword=hereditarily weak B-property END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=149 end-page=161 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Higher Weights of Codes from Projective Planes and Biplanes en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We study the higher weights of codes formed from planes and biplanes. We relate the higher weights of the Hull and the code of a plane and biplane. We determine all higher weight enumerators of planes and biplanes of order less or equal to 4.

en-copyright= kn-copyright= en-aut-name=DoughertySteven T. en-aut-sei=Dougherty en-aut-mei=Steven T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=RamaduraiReshma en-aut-sei=Ramadurai en-aut-mei=Reshma kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=University of Scranton affil-num=2 en-affil= kn-affil=University of Illinois at Chicago en-keyword=Projective plane kn-keyword=Projective plane en-keyword=biplane kn-keyword=biplane en-keyword=codes of designs kn-keyword=codes of designs en-keyword=higher weights kn-keyword=higher weights END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=53 end-page=58 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Ideals and Orthogonal Generalized Derivations of Semiprime Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper, some results concerning orthogonal generalized derivations are generalized for a nonzero ideal of a semiprime ring. These results are a generalization of results of M. Bre?ar and J. Vukman in [3], which are related to a theorem of E. Posner for the product of derivations on a prime ring.

en-copyright= kn-copyright= en-aut-name=AlbasEmine en-aut-sei=Albas en-aut-mei=Emine kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Ege University en-keyword=derivation kn-keyword=derivation en-keyword=generalized derivation kn-keyword=generalized derivation en-keyword=orthogonal generalized derivations kn-keyword=orthogonal generalized derivations en-keyword=semiprime ring kn-keyword=semiprime ring en-keyword=ideal kn-keyword=ideal END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=59 end-page=64 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Results on (ƒÐ,ƒÑ)-Lie Ideals en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this note we give some basic results on one sided(σ,τ)-Lie ideals of prime rings with characteristic not 2.

en-copyright= kn-copyright= en-aut-name=G?venEvrim en-aut-sei=G?ven en-aut-mei=Evrim kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KayaKazim en-aut-sei=Kaya en-aut-mei=Kazim kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=Soyt?rkMuharrem en-aut-sei=Soyt?rk en-aut-mei=Muharrem kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Kocaeli University affil-num=2 en-affil= kn-affil=?anakkale Onsekiz Mart University affil-num=3 en-affil= kn-affil=Kocaeli University en-keyword=Prime ring kn-keyword=Prime ring en-keyword= (sigma kn-keyword= (sigma en-keyword=tau)-LIe ideal kn-keyword=tau)-LIe ideal en-keyword= (sigma kn-keyword= (sigma en-keyword=tau)-derivation kn-keyword=tau)-derivation END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=37 end-page=52 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Sums and Partial Sums of Double Power Series associated with the Generalized Zeta Function and Their N-fractional CalculusSums and Partial Sums of Double Power Series associated with the Generalized Zeta Function and Their N-fractional Calculus en-subtitle= kn-subtitle= en-abstract= kn-abstract=

An attempt is made here to introduce and study a pair of double power series associated with the generalized zeta function due to Erd?lyi Φ(x; z; a) together with related sums, integral representations, generating relations and N-fractional calculus. A number of (known and new) results shown to follow as special cases of our theorems.

en-copyright= kn-copyright= en-aut-name=Bin-SaadMaged G. en-aut-sei=Bin-Saad en-aut-mei=Maged G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Aden University END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=197 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Characterization of ƒÂ-quasi-Baer Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let δ be a derivation on R. A ring R is called δ-quasi-Baer (resp. quasi-Baer) if the right annihilator of every δ-ideal (resp. ideal) of R is generated by an idempotent of R. In this note first we give a positive answer to the question posed in Han et al. [7], then we show that R is δ-quasi-Baer iff the differential polynomial ring S = R[x; δ] is quasi-Baer iff S is δ‾-quasi-Baer for every extended derivation δ‾ on S of δ. This results is a generalization of Han et al. [7], to the case where R is not assumed to be δ-semiprime.

en-copyright= kn-copyright= en-aut-name=HashemiEbrahim en-aut-sei=Hashemi en-aut-mei=Ebrahim kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Shahrood University of Thechnology END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=171 end-page=181 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Generalized Primitive Element Theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We deal with the following variant of the primitive element theorem: any commutative strongly separable extension of a commutative ring can be embedded in another one having primitive element. This statement holds for connected strongly separable extension of commutative rings which are either local or connected semilocal. We show that it holds for a more general family of rings, that is, for connected commutative rings whose quotient ring by the corresponding Jacobson radical is von Neumann regular and locally uniform. Some properties of the (connected) separable closure of such rings are also given as an application of this result.

en-copyright= kn-copyright= en-aut-name=BagioDirceu en-aut-sei=Bagio en-aut-mei=Dirceu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=PaquesAntonio en-aut-sei=Paques en-aut-mei=Antonio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universidade Federal de Santa Maria affil-num=2 en-affil= kn-affil=Universidade Federal do Rio Grande do Sul en-keyword=primitive element kn-keyword=primitive element en-keyword=von Neumann regular ring kn-keyword=von Neumann regular ring en-keyword=locally uniform ring kn-keyword=locally uniform ring en-keyword=strongly separable extension kn-keyword=strongly separable extension en-keyword=separable closure kn-keyword=separable closure END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=185 end-page=196 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Questions on the Ideal Class Group of Imaginary Abelian Fields en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime number p, and p splits into two distinct primes in k. Then it is known that a prime ideal lying above p is not principal. In the present paper, we shall consider a question whether a similar result holds when the class number of k is 2p. We also consider an analogous question for the case that k is an imaginary quartic abelian field.

en-copyright= kn-copyright= en-aut-name=ItohTsuyoshi en-aut-sei=Itoh en-aut-mei=Tsuyoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Ritsumeikan University en-keyword=Ideal class group kn-keyword=Ideal class group END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=113 end-page=138 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Galois Covers of Degree p and Semi-stable Reduction of Curves in Equal Characteristic p>0 en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper we study the semi-stable reduction of Galois covers of degree p above curves over a complete discrete valuation ring of equal characteristic p.

en-copyright= kn-copyright= en-aut-name=Sa?diMohamed en-aut-sei=Sa?di en-aut-mei=Mohamed kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Exeter END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=65 end-page=92 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cut Loci and Distance Functions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ItohJin-ichi en-aut-sei=Itoh en-aut-mei=Jin-ichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SakaiTakashi en-aut-sei=Sakai en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Kumamoto University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=93 end-page=111 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Evaluation of the Convolution Sums ‡” l+24m=n ƒÐ(l) ƒÐ(m) and ‡”3l+8m=n ƒÐ(l) ƒÐ(m) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AlacaAyse en-aut-sei=Alaca en-aut-mei=Ayse kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AlacaSaban en-aut-sei=Alaca en-aut-mei=Saban kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=WilliamsKenneth S. en-aut-sei=Williams en-aut-mei=Kenneth S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Carleton University affil-num=2 en-affil= kn-affil=Carleton University affil-num=3 en-affil= kn-affil=Carleton University en-keyword=sum of divisors function kn-keyword=sum of divisors function en-keyword=convolution sums kn-keyword=convolution sums en-keyword=Eisenstein series kn-keyword=Eisenstein series END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=1 end-page=36 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Character Values and Dade's Conjecture en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NarasakiRyo en-aut-sei=Narasaki en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka University END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=163 end-page=169 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Privalov Space on the Upper Half Plane en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper, we shall consider Privalov space Np 0 (D) (p > 1) which consists of holomorphic functions f on the upper half plane D := {z ∈ C|Imz > 0} such that (log+ |f(z)|)p has a harmonic majorant on D. We shall give some properties of Np 0 (D).

en-copyright= kn-copyright= en-aut-name=IidaYasuo en-aut-sei=Iida en-aut-mei=Yasuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Iwate Medical University en-keyword=Privalov space kn-keyword=Privalov space en-keyword=Nevanlinna-type spaces kn-keyword=Nevanlinna-type spaces en-keyword=Hardy-Orlicz class kn-keyword=Hardy-Orlicz class END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=139 end-page=147 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Generalized Derivations with Commutativity and Anti-commutativity Conditions en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο y .

en-copyright= kn-copyright= en-aut-name=BellHoward E. en-aut-sei=Bell en-aut-mei=Howard E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=RehmanNadeem-ur en-aut-sei=Rehman en-aut-mei=Nadeem-ur kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Brock University affil-num=2 en-affil= kn-affil=Aligarh Muslim University END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=183 end-page=184 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Elliptic Curves y?=x?-px of Rank Two en-subtitle= kn-subtitle= en-abstract= kn-abstract=

A class of prime numbers p is given for which the elliptic curve y? =x?-px has rank two. This extends a theorem of Kudo and Motose.

en-copyright= kn-copyright= en-aut-name=SpearmanBlair K. en-aut-sei=Spearman en-aut-mei=Blair K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of British Columbia Okanagan en-keyword=Elliptic curve kn-keyword=Elliptic curve en-keyword=rank kn-keyword=rank END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=43 end-page=46 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Prime Ideal Factorization of 2 in Pure Quartic Fields with Index 2 en-subtitle= kn-subtitle= en-abstract= kn-abstract=

The prime ideal decomposition of 2 in a pure quartic field with field index 2 is determined explicitly.

en-copyright= kn-copyright= en-aut-name=SpearmanBlair K. en-aut-sei=Spearman en-aut-mei=Blair K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=WilliamsKenneth S. en-aut-sei=Williams en-aut-mei=Kenneth S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Statistics University affil-num=2 en-affil= kn-affil=Statistics Carleton University en-keyword=pure quartic field kn-keyword=pure quartic field en-keyword=discriminant kn-keyword=discriminant en-keyword=prime decomposition kn-keyword=prime decomposition END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=73 end-page=76 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Characterization of Frobenius Groups of Special Type en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We define a Con-Cos group G to be one having a proper normal subgroup N whose cosets other than N itself are conjugacy classes. It follows easily that N = Gf, the derived group of G. Most of the paper is devoted to trying to classify finite Con-Cos groups satisfying the additional requirement that N has just two conjugacy classes. We show that for such groups the center Z(G) has order at most 2, and if Z(G) = {1}, then G is a Frobenius group of a rather special type.

en-copyright= kn-copyright= en-aut-name=MuktibodhArun S. en-aut-sei=Muktibodh en-aut-mei=Arun S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Mohota Science College en-keyword=Con-Cos group kn-keyword=Con-Cos group en-keyword=2-Con-Cos group kn-keyword=2-Con-Cos group END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=181 end-page=195 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Geometry and Topology on Grassmann Manifolds en-subtitle= kn-subtitle= en-abstract= kn-abstract=

This paper shows that the Grassmann Manifolds GF(n,N) can all be imbedded in an Euclidean space MF(N) naturally and the imbedding can be realized by the eigenfunctions of Laplacian Δ on GF(n,N). They are all minimal submanifolds in some spheres of MF(N) respectively. Using these imbeddings, we construct some degenerate Morse functions on Grassmann Manifolds, show that the homology of the complex and quaternion Grassmann Manifolds can be computed easily.

en-copyright= kn-copyright= en-aut-name=JianweiZhou en-aut-sei=Jianwei en-aut-mei=Zhou kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Suzhou University en-keyword=Grassmann manifold kn-keyword=Grassmann manifold en-keyword=moving frame kn-keyword=moving frame en-keyword=minimal immersion kn-keyword=minimal immersion en-keyword=critical submanifold kn-keyword=critical submanifold en-keyword=Morse function kn-keyword=Morse function en-keyword=homology kn-keyword=homology END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=1 end-page=8 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Euclidean Algorithm en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MotoseKaoru en-aut-sei=Motose en-aut-mei=Kaoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Hirosaki University END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=159 end-page=180 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=New Ultimate Boundedness and Periodicity Results for Certain Third-order Nonlinear Vector Differential Equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=

The principle aim of this paper is to present some new results related to the ultimate boundedness and existence of periodic of solutions a certain non-linear ordinary vector differential equation of third order. Our results improve some well-known results in the literature.

en-copyright= kn-copyright= en-aut-name=TuncCemil en-aut-sei=Tunc en-aut-mei=Cemil kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TuncErcan en-aut-sei=Tunc en-aut-mei=Ercan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Yuzuncu Yil University affil-num=2 en-affil= kn-affil=Gaziosman Pasa University en-keyword=Nonlinear differential equations kn-keyword=Nonlinear differential equations en-keyword=third order kn-keyword=third order en-keyword=ultimate boundedness kn-keyword=ultimate boundedness en-keyword=existence of periodic solutions kn-keyword=existence of periodic solutions END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=125 end-page=134 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on the Vector-valued Cohomology Equation f=ho T-h en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HasegawaShigeru en-aut-sei=Hasegawa en-aut-mei=Shigeru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SatoRyotaro en-aut-sei=Sato en-aut-mei=Ryotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Shibaura Institute Of Technology affil-num=2 en-affil= kn-affil=Okayama University en-keyword=Reflexive Banach space with a countable (Schauder) basis kn-keyword=Reflexive Banach space with a countable (Schauder) basis en-keyword=probability measure space kn-keyword=probability measure space en-keyword=endomorphism kn-keyword=endomorphism en-keyword=automorphism kn-keyword=automorphism en-keyword=ergodic kn-keyword=ergodic en-keyword=vector-valued cohomology equation kn-keyword=vector-valued cohomology equation en-keyword=coboundary cocycle kn-keyword=coboundary cocycle END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=87 end-page=102 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Quaternionic Line Bundles over Quaternionic Projective Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=Gon?alvesDaciberg L. en-aut-sei=Gon?alves en-aut-mei=Daciberg L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SpreaficoMauro en-aut-sei=Spreafico en-aut-mei=Mauro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Departamento De Matematica affil-num=2 en-affil= kn-affil=Departamento De Matematica END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=57 end-page=72 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Global Solvably Closed Anabelian Geometry en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper, we study the pro-Σ anabelian geometry of hyperbolic curves, where Σ is a nonempty set of prime numbers, over Galois groups of gsolvably closed extensionsh of number fields ? i.e., infinite extensions of number fields which have no nontrivial abelian extensions. The main results of this paper are, in essence, immediate corollaries of the following three ingredients: (a) classical results concerning the structure of Galois groups of number fields; (b) an anabelian result of Uchida concerning Galois groups of solvably closed extensions of number fields; (c) a previous result of the author concerning the pro-Σ anabelian geometry of hyperbolic curves over nonarchimedean local fields.

en-copyright= kn-copyright= en-aut-name=MochizukiShinichi en-aut-sei=Mochizuki en-aut-mei=Shinichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kyoto University en-keyword=solvably closed kn-keyword=solvably closed en-keyword=number field kn-keyword=number field en-keyword=Galois group kn-keyword=Galois group en-keyword=anabelian geometry kn-keyword=anabelian geometry en-keyword=hyperbolic curve kn-keyword=hyperbolic curve END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=47 end-page=56 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Higher Syzygies of Projective Toric Varieties en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let A be an ample line bundle on a projective toric variety X of dimension n (≥ 2). It is known that the d-th tensor power A⊗d embedds X as a projectively normal variety in Pr := P(H0(X,L⊗d)) if d ≥ n − 1. In this paper first we show that when dimX = 2 the line bundle A⊗d satisfies the property Np for p ≤ 3d − 3. Second we show that when dimX = n ≥ 3 the bundle A⊗d satisfies the property Np for p ≤ d − n + 2 and d ≥ n − 1.

en-copyright= kn-copyright= en-aut-name=OgataShoetsu en-aut-sei=Ogata en-aut-mei=Shoetsu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tohoku University en-keyword=toric variety kn-keyword=toric variety en-keyword=syzygy kn-keyword=syzygy END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=113 end-page=124 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Bott's Theorem on Samelson Products en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SugataKei en-aut-sei=Sugata en-aut-mei=Kei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=9 end-page=20 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Stickelberger Ideals and Normal Bases of Rings of p-integers en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IchimuraHumio en-aut-sei=Ichimura en-aut-mei=Humio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Ibaraki University END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=145 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Almost Periodic Solutions of C-well-posed Evolution Equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=

This paper is concerned with the existence and uniqueness of almost periodic mild solutions of evolution equations of the form u(t) = Au(t) + ?(t) where A is the generator of a holomorphic Csemigroup on a Banach space and ? is an almost periodic function. A sufficient condition in terms of spectral properties of A and ? is obtained that extends a well known result in this subject.

en-copyright= kn-copyright= en-aut-name=MinhNguyen Van en-aut-sei=Minh en-aut-mei=Nguyen Van kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Mathematics University en-keyword=Holomorphic C-semigroup kn-keyword=Holomorphic C-semigroup en-keyword=almost periodic solution kn-keyword=almost periodic solution en-keyword=sums of commuting operators kn-keyword=sums of commuting operators END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=77 end-page=86 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Self-homotopy of the Double Suspension of the Real 7-projective Space en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We determine the group structure of the self-homotopy set of the double suspension of the real 7-dimensionnal projective space.

en-copyright= kn-copyright= en-aut-name=MiyauchiToshiyuki en-aut-sei=Miyauchi en-aut-mei=Toshiyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=kyushu University en-keyword=self-homotopy kn-keyword=self-homotopy en-keyword=real projective space kn-keyword=real projective space END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=103 end-page=112 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Homotopy Groups of Homogeneous Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=

The symplectic group is embedded in the rotation group and the quotient set equipped with the identification topology is a homogeneous space. The purpose of this paper is to determine some homotopy groups of the homogeneous space. Exact sequences induced from fibrations are frequently used, and homotopy groups of Lie groups and other homogeneous spaces which are obtained by several authors are referred heavily.

en-copyright= kn-copyright= en-aut-name=InoueTomohisa en-aut-sei=Inoue en-aut-mei=Tomohisa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Shinsyu University en-keyword=homogeneous space kn-keyword=homogeneous space en-keyword=homotopy group kn-keyword=homotopy group END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=135 end-page=144 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Multipliers and Cyclic Vectors on the Weighted Bloch Space en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YeShanli en-aut-sei=Ye en-aut-mei=Shanli kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Fujian Normal University en-keyword=pointwise multipliers kn-keyword=pointwise multipliers en-keyword=cyclic vectors kn-keyword=cyclic vectors en-keyword=weighted Bloch space kn-keyword=weighted Bloch space END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=173 end-page=180 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A New Generalization of the Poisson Kernel en-subtitle= kn-subtitle= en-abstract= kn-abstract=

The purpose of this paper is to give a new generalization of the Poisson Kernel in two dimensions and discuss an integral formula for this.

en-copyright= kn-copyright= en-aut-name=BulutSerap en-aut-sei=Bulut en-aut-mei=Serap kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Balikesir University en-keyword=Poisson Kernel kn-keyword=Poisson Kernel en-keyword=Integral Formula kn-keyword=Integral Formula END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=21 end-page=32 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Mutually Orthogonal Latin Squares and Self-complementary Designs en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Suppose that n is even and a set of n/2 -1 mutually orthogonal Latin squares of order n exists. Then we can construct a strongly regular graph with parameters (n?, n/2 (n-1), n/2 ( n/2-1), n/2 ( n/2 -1)), which is called a Latin square graph. In this paper, we give a sufficient condition of the Latin square graph for the existence of a projective plane of order n. For the existence of a Latin square graph under the condition, we will introduce and consider a self-complementary 2-design (allowing repeated blocks) with parameters (n, n/2 , n/2 ( n/2 -1)). For n ≡ 2 (mod 4), we give a proof of the non-existence of the design.

en-copyright= kn-copyright= en-aut-name=NakasoraHiroyuki en-aut-sei=Nakasora en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University en-keyword=Mutually orthogonal Latin squares kn-keyword=Mutually orthogonal Latin squares en-keyword=Transversal designs kn-keyword=Transversal designs en-keyword=Latin square graphs kn-keyword=Latin square graphs en-keyword=Self-complementary designs kn-keyword=Self-complementary designs END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=33 end-page=42 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Regular Rings Satisfying Weak Chain Condition en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper, we shall study regular rings satisfying weak chain condition. As main results, we show that regular rings satisfying weak chain condition are unit-regular, and show that these rings have the unperforation and power cancellation properties for the family of finitely generated projective modules.

en-copyright= kn-copyright= en-aut-name=KutamiMamoru en-aut-sei=Kutami en-aut-mei=Mamoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Yamaguchi University en-keyword=Von Neumann regular rings kn-keyword=Von Neumann regular rings en-keyword=Weak chain condition kn-keyword=Weak chain condition en-keyword=Unitregularity kn-keyword=Unitregularity en-keyword=Unperforation property kn-keyword=Unperforation property END start-ver=1.4 cd-journal=joma no-vol=47 cd-vols= no-issue=1 article-no= start-page=81 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=2005 dt-pub=200501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Group Structures of Some Special Elliptic Curves en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KudoTakehiro en-aut-sei=Kudo en-aut-mei=Takehiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MotoseKaoru en-aut-sei=Motose en-aut-mei=Kaoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Hirosaki University affil-num=2 en-affil= kn-affil=Hirosaki University en-keyword=Elliptic Curves Group Structures Mersenne Prime kn-keyword=Elliptic Curves Group Structures Mersenne Prime en-keyword=Abelian Groups kn-keyword=Abelian Groups END start-ver=1.4 cd-journal=joma no-vol=47 cd-vols= no-issue=1 article-no= start-page=75 end-page=80 dt-received= dt-revised= dt-accepted= dt-pub-year=2005 dt-pub=200501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Dihedral Quintic Fields with a Power Basis en-subtitle= kn-subtitle= en-abstract= kn-abstract=

It is shown that there exist infinitely many dihedral quintic fields with a power basis.

en-copyright= kn-copyright= en-aut-name=LavalleeMelissa J. en-aut-sei=Lavallee en-aut-mei=Melissa J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SpearmanBlair K. en-aut-sei=Spearman en-aut-mei=Blair K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=WilliamsKenneth S. en-aut-sei=Williams en-aut-mei=Kenneth S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=YangQiduan en-aut-sei=Yang en-aut-mei=Qiduan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Okanagan University College affil-num=2 en-affil= kn-affil=Okanagan University College affil-num=3 en-affil= kn-affil=Carleton University affil-num=4 en-affil= kn-affil=Okanagan University College en-keyword=Dihedral quintic field kn-keyword=Dihedral quintic field en-keyword=power basis kn-keyword=power basis en-keyword=monogenic kn-keyword=monogenic END start-ver=1.4 cd-journal=joma no-vol=47 cd-vols= no-issue=1 article-no= start-page=141 end-page=146 dt-received= dt-revised= dt-accepted= dt-pub-year=2005 dt-pub=200501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Lower Bound for the LS Category of a Formal Elliptic Space en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We give a lower bound for the LS category of a formal elliptic space in terms of its rational cohomology.

en-copyright= kn-copyright= en-aut-name=KotaniYasusuke en-aut-sei=Kotani en-aut-mei=Yasusuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YamaguchiToshihiro en-aut-sei=Yamaguchi en-aut-mei=Toshihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Kochi University affil-num=2 en-affil= kn-affil=Kochi University en-keyword=LS category kn-keyword=LS category en-keyword=rationally elliptic space kn-keyword=rationally elliptic space en-keyword=F0-space kn-keyword=F0-space en-keyword= formal. kn-keyword= formal. END