start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=171 end-page=187 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on smoothness condition on tropical elliptic curves of symmetric truncated cubic forms en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this work, we provide explicit conditions for the coeffi-cients of a symmetric truncated cubic to give a smooth tropical curve. We also examine non-smooth cases corresponding to some specific sub-division types. en-copyright= kn-copyright= en-aut-name=TarmidiRani Sasmita en-aut-sei=Tarmidi en-aut-mei=Rani Sasmita 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=tropical curves kn-keyword=tropical curves en-keyword=smooth tropical curves kn-keyword=smooth tropical curves en-keyword=symmetric truncated cubic kn-keyword=symmetric truncated cubic END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=159 end-page=169 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Duality-reflection formulas of multiple polylogarithms and their ℓ-adic Galois analogues en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we derive formulas of complex and ℓ-adic multiple polylogarithms, which have two aspects: a duality in terms of indexes and a reflection in terms of variables. We provide an algebraic proof of these formulas by using algebraic relations between associators arising from the S3-symmetry of the projective line minus three points. en-copyright= kn-copyright= en-aut-name=ShiraishiDensuke en-aut-sei=Shiraishi en-aut-mei=Densuke 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=multiple polylogarithm kn-keyword=multiple polylogarithm en-keyword=ℓ-adic Galois multiple polylogarithm kn-keyword=ℓ-adic Galois multiple polylogarithm en-keyword=duality-reflection formula kn-keyword=duality-reflection formula END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=135 end-page=157 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Several homotopy fixed point spectral sequences in telescopically localized algebraic K-theory en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let n ≥ 1, p a prime, and T(n) any representative of the Bousfield class of the telescope v−1n F(n) of a finite type n complex. Also, let En be the Lubin-Tate spectrum, K(En) its algebraic K-theory spectrum, and Gn the extended Morava stabilizer group, a profinite group. Motivated by an Ausoni-Rognes conjecture, we show that there are two spectral sequences
IEs,t2 ⇒ πt−s((LT(n+1)K(En))hGn) ⇐ IIEs,t2
with common abutment π∗(−) of the continuous homotopy fixed points of LT(n+1)K(En), where IEs,t2 is continuous cohomology with coefficients in a certain tower of discrete Gn-modules. If the tower satisfies the Mittag-Leffler condition, then there are isomorphisms with continuous cochain cohomology groups:
IE∗,∗2 ≅ H∗cts(Gn, π∗(LT(n+1)K(En))) ≅ IIE∗,∗2.
We isolate two hypotheses, the first of which is true when (n, p) = (1, 2), that imply (LT(n+1)K(En))hGn ≃ LT(n+1)K(LK(n)S0). Also, we show that there is a spectral sequence
Hscts(Gn, πt(K(En) ⊗ T(n + 1))) ⇒ πt−s((K(En) ⊗ T(n + 1))hGn). en-copyright= kn-copyright= en-aut-name=DavisDaniel G. en-aut-sei=Davis en-aut-mei=Daniel G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Louisiana at Lafayette kn-affil= en-keyword=Algebraic K-theory spectrum kn-keyword=Algebraic K-theory spectrum en-keyword=continuous homotopy fixed point spectrum kn-keyword=continuous homotopy fixed point spectrum en-keyword=Lubin-Tate spectrum kn-keyword=Lubin-Tate spectrum en-keyword=Morava stabilizer group kn-keyword=Morava stabilizer group en-keyword=homotopy fixed point spectral sequence kn-keyword=homotopy fixed point spectral sequence en-keyword=telescopic localization kn-keyword=telescopic localization END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=125 end-page=133 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A subclass of strongly close-to-convex functions associated with Janowski function en-subtitle= kn-subtitle= en-abstract= kn-abstract=The aim of this paper is to introduce a new subclass of strongly close-to-convex functions by subordinating to Janowski function. Certain properties such as coefficient estimates, distortion theorem, argument theorem, inclusion relations and radius of convexity are established for this class. The results obtained here will generalize various earlier known results. en-copyright= kn-copyright= en-aut-name=SinghGagandeep en-aut-sei=Singh en-aut-mei=Gagandeep kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SinghGurcharanjit en-aut-sei=Singh en-aut-mei=Gurcharanjit kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Khalsa College kn-affil= affil-num=2 en-affil=Department of Mathematics, G.N.D.U. College kn-affil= en-keyword=Analytic functions kn-keyword=Analytic functions en-keyword=Subordination kn-keyword=Subordination en-keyword=Janowski-type function kn-keyword=Janowski-type function en-keyword=Close-to-convex functions kn-keyword=Close-to-convex functions en-keyword=Distortion theorem kn-keyword=Distortion theorem en-keyword=Argument theorem kn-keyword=Argument theorem en-keyword=Coefficient bounds kn-keyword=Coefficient bounds END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=115 end-page=124 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A combinatorial integration on the Cantor dust en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we generalize the Cantor function to 2-dimensional cubes and construct a cyclic 2-cocycle on the Cantor dust. This cocycle is non-trivial on the pullback of the smooth functions on the 2-dimensional torus with the generalized Cantor function while it vanishes on the Lipschitz functions on the Cantor dust. The cocycle is calculated through the integration of 2-forms on the torus by using a combinatorial Fredholm module. en-copyright= kn-copyright= en-aut-name=MaruyamaTakashi en-aut-sei=Maruyama en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SetoTatsuki en-aut-sei=Seto en-aut-mei=Tatsuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Engineering, Stanford University kn-affil= affil-num=2 en-affil=General Education and Research Center, Meiji Pharmaceutical University kn-affil= en-keyword=Fredholm module kn-keyword=Fredholm module en-keyword=Cantor dust kn-keyword=Cantor dust en-keyword=cyclic cocycle kn-keyword=cyclic cocycle END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=103 end-page=113 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On G(A)Q of rings of finite representation type en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let (A,m) be an excellent Henselian Cohen-Macaulay local ring of finite representation type. If the AR-quiver of A is known then by a result of Auslander and Reiten one can explicity compute G(A) the Grothendieck group of finitely generated A-modules. If the AR-quiver is not known then in this paper we give estimates of G(A)Q = G(A) ⊗Z Q when k = A/m is perfect. As an application we prove that if A is an excellent equi-characteristic Henselian Gornstein local ring of positive even dimension with char A/m ≠ 2, 3, 5 (and A/m perfect) then G(A)Q ≅ Q. 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=Grothendieck group kn-keyword=Grothendieck group en-keyword=finite representation type kn-keyword=finite representation type en-keyword=AR sequence kn-keyword=AR sequence END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=85 end-page=102 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Positive solutions to a nonlinear three-point boundary value problem with singularity en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we discuss the existence and uniqueness of positive solutions to a singular boundary value problem of fractional differential equations with three-point integral boundary conditions. The nonlinear term f possesses singularity and also depends on the first-order derivative u′. Our approach is based on Leray-Schauder fixed point theorem and Banach contraction principle. Examples are presented to confirm the application of the main results. en-copyright= kn-copyright= en-aut-name=AkoredeMoses B. en-aut-sei=Akorede en-aut-mei=Moses B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ArawomoPeter O. en-aut-sei=Arawomo en-aut-mei=Peter O. 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, University of Ibadan kn-affil= affil-num=2 en-affil=Department of Mathematics, Faculty of Science, University of Ibadan kn-affil= en-keyword=Fractional derivative kn-keyword=Fractional derivative en-keyword=positive solutions kn-keyword=positive solutions en-keyword=singularity kn-keyword=singularity en-keyword=three-point boundary value problem kn-keyword=three-point boundary value problem en-keyword=cone kn-keyword=cone END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=71 end-page=83 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Harmonic partitions of positive integers and bosonic extension of Euler’s pentagonal number theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we first propose a cohomological derivation of the celebrated Euler’s Pentagonal Number Theorem. Then we prove an identity that corresponds to a bosonic extension of the theorem. The proof corresponds to a cohomological re-derivation of Euler’s another celebrated identity. en-copyright= kn-copyright= en-aut-name=JinzenjiMasao en-aut-sei=Jinzenji en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TajimaYu en-aut-sei=Tajima en-aut-mei=Yu 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=Division of Mathematics, Graduate School of Science, Hokkaido University kn-affil= en-keyword=partitions of integers kn-keyword=partitions of integers en-keyword=cohomology kn-keyword=cohomology en-keyword=Euler number kn-keyword=Euler number en-keyword=Euler’s pentagonal number theorem kn-keyword=Euler’s pentagonal number theorem END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=63 end-page=69 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Construction of families of dihedral quintic polynomials en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this article, we give two families of dihedral quintic polynomials by using the Weber sextic resolvent and a certain elliptic curve. 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=YamadaMei en-aut-sei=Yamada en-aut-mei=Mei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Faculty of Education, Aichi University of Education kn-affil= affil-num=2 en-affil=Department of Mathematics, Faculty of Education, Aichi University of Education kn-affil= en-keyword=Quintic polynomials kn-keyword=Quintic polynomials en-keyword=Galois group kn-keyword=Galois group END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=45 end-page=61 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Dirac pairs on Jacobi algebroids en-subtitle= kn-subtitle= en-abstract= kn-abstract=We define Dirac pairs on Jacobi algebroids, which is a generalization of Dirac pairs on Lie algebroids introduced by Kosmann-Schwarzbach. We show the relationship between Dirac pairs on Lie and on Jacobi algebroids, and that Dirac pairs on Jacobi algebroids characterize several compatible structures on Jacobi algebroids. en-copyright= kn-copyright= en-aut-name=NakamuraTomoya en-aut-sei=Nakamura en-aut-mei=Tomoya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Academic Support Center, Kogakuin University kn-affil= en-keyword=Dirac pair kn-keyword=Dirac pair en-keyword=Dirac structure kn-keyword=Dirac structure en-keyword=Jacobi algebroid kn-keyword=Jacobi algebroid en-keyword=Lie algebroid kn-keyword=Lie algebroid END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=31 end-page=44 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Game positions of multiple hook removing game en-subtitle= kn-subtitle= en-abstract= kn-abstract=Multiple Hook Removing Game (MHRG for short) introduced in [1] is an impartial game played in terms of Young diagrams. In this paper, we give a characterization of the set of all game positions in MHRG. As an application, we prove that for t ∈ Z≥0 and m, n ∈ N such that t ≤ m ≤ n, and a Young diagram Y contained in the rectangular Young diagram Yt,n of size t × n, Y is a game position in MHRG with Ym,n the starting position if and only if Y is a game position in MHRG with Yt,n−m+t the starting position, and also that the Grundy value of Y in the former MHRG is equal to that in the latter MHRG. en-copyright= kn-copyright= en-aut-name=MotegiYuki en-aut-sei=Motegi en-aut-mei=Yuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Pure and Applied Sciences, University of Tsukuba kn-affil= en-keyword=Young diagram kn-keyword=Young diagram en-keyword=hook kn-keyword=hook en-keyword=combinatorial game kn-keyword=combinatorial game en-keyword=Grundy value kn-keyword=Grundy value END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=1 end-page=30 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Equivalence classes of dessins d’enfants with two vertices en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let N be a positive integer. For any positive integer L ≤ N and any positive divisor r of N, we enumerate the equivalence classes of dessins d’enfants with N edges, L faces and two vertices whose representatives have automorphism groups of order r. Further, for any non-negative integer h, we enumerate the equivalence classes of dessins with N edges, h faces of degree 2 with h ≤ N, and two vertices whose representatives have automorphism group of order r. Our arguments are essentially based upon a natural one-to-one correspondence between the equivalence classes of all dessins with N edges and the equivalence classes of all pairs of permutations whose entries generate a transitive subgroup of the symmetric group of degree N. en-copyright= kn-copyright= en-aut-name=HorieMadoka en-aut-sei=Horie en-aut-mei=Madoka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Science, Tohoku University kn-affil= en-keyword=dessin d’enfants kn-keyword=dessin d’enfants en-keyword=symmetric group kn-keyword=symmetric group en-keyword=combinatorics kn-keyword=combinatorics en-keyword=Riemann surface kn-keyword=Riemann surface 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=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=Universit´e Bordeaux I, Institut de Math´ematiques 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=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=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=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=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=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=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=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=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=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=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=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=TRIMÈCHEKhalifa en-aut-sei=TRIMÈCHE 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=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 f′(X) and its discriminant δ(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=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=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=Siegel’s lemma kn-keyword=Siegel’s 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=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=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 (=“Gras conjecture”) 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=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=ŌshimaHideaki en-aut-sei=Ōshima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ŌshimaKatsumi en-aut-sei=Ōshima 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=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 Schrödinger 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 Schrödinger operator kn-keyword=magnetic Schrödinger 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=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 Schrödinger 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 Schrödinger operator kn-keyword=magnetic Schrödinger 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=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 Schrödinger 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 Schrödinger 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 Schrödinger operator kn-keyword=magnetic Schrödinger 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=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=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=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=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-Sunada’s 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=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=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=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=KörArda en-aut-sei=Kör 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=ŞahinkayaSerap en-aut-sei=Şahinkaya en-aut-mei=Serap kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=KoşanMuhammet Tamer en-aut-sei=Koşan 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=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-ČECH 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 Čech 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=Čech cohomologies kn-keyword=Čech 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=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=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=ŌshimaHideaki en-aut-sei=Ōshima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ŌshimaKatsumi en-aut-sei=Ōshima 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=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=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)⊂ (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)) ⊂ 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 Université 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=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=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 Supérieure 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=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 (∫ 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=Hölder inequality kn-keyword=Hölder inequality 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=BelaïdiBenharrat en-aut-sei=Belaïdi 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=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=KurešMiroslav en-aut-sei=Kureš 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=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=BárcenasNoé en-aut-sei=Bárcenas en-aut-mei=Noé 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=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 André-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=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 Matemática Universidade Federal do Rio Grande do Sul affil-num=2 en-affil= kn-affil=Departamento de Ciências Centro de Ciências Exatas Universidade Estadual de Maringá 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=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 Euler’s 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=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=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=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=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=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 θ-ACUTE TRIANGLES en-subtitle= kn-subtitle= en-abstract= kn-abstract=A θ-acute triangle is a Euclidean triangle on the plane whose three angles are less than a given constant θ. In this note, we shall give an explicit formula computing the hyperbolic area A(θ) of the moduli region of θ-acute triangles on the Poincar´e disk. It turns out that A(θ) is a period in the sense of Kontsevich-Zagier if cot θ 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=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=AkahoriJirô en-aut-sei=Akahori en-aut-mei=Jirô 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=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=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=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=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 TütüncüDerya en-aut-sei=Keskin Tütüncü 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=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=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=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 ´etale 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 Drinfel’d 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 Drinfel’d 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 one’s 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=SoudèresIsmaël en-aut-sei=Soudères en-aut-mei=Ismaël kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Fachbereich Mathematik – Universität Duisburg-Essen END start-ver=1.4 cd-journal=joma no-vol=41 cd-vols= no-issue=1 article-no= start-page=45 end-page=62 dt-received= dt-revised= dt-accepted= dt-pub-year=1999 dt-pub=199901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Universal Factorization Equalities for Quaternion Matrices and Their Applications en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TianYongge en-aut-sei=Tian en-aut-mei=Yongge kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Queen's University END start-ver=1.4 cd-journal=joma no-vol=41 cd-vols= no-issue=1 article-no= start-page=103 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=1999 dt-pub=199901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Semi-Convergence of Filters and Nets en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=LatifR. M. en-aut-sei=Latif en-aut-mei=R. M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=King Fahd University of Petroleum and Minerals END start-ver=1.4 cd-journal=joma no-vol=41 cd-vols= no-issue=1 article-no= start-page=27 end-page=36 dt-received= dt-revised= dt-accepted= dt-pub-year=1999 dt-pub=199901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Irreducibilities of the Induced Characters of Cyclic p-Groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SekiguchiKatsusuke en-aut-sei=Sekiguchi en-aut-mei=Katsusuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kokushikan University END start-ver=1.4 cd-journal=joma no-vol=41 cd-vols= no-issue=1 article-no= start-page=75 end-page=79 dt-received= dt-revised= dt-accepted= dt-pub-year=1999 dt-pub=199901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Generalization of the Dade's Theorem on Localization of Injective Modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HirataKazuhiko en-aut-sei=Hirata en-aut-mei=Kazuhiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SyuU en-aut-sei=Syu en-aut-mei=U 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 Chiba University affil-num=2 en-affil= kn-affil= 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 γ-th order Cesàro means (γ≥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=Cesàro mean kn-keyword=Cesàro 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=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 École Normale Supèrieure 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=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 Γ-convergence framework, and making use also of the subadditive theorem and the blow-up method. en-copyright= kn-copyright= en-aut-name=MoussaAbdelaziz Aït en-aut-sei=Moussa en-aut-mei=Abdelaziz Aït kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ZlaïjiLoubna en-aut-sei=Zlaïji 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=Γ-convergence kn-keyword=Γ-convergence en-keyword=subadditive theorem kn-keyword=subadditive theorem 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=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=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-3′ 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-3′ 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 σ, Tσ := {M ∈ Mod-R : σ(M) = M} is called the class of σ-torsion right R-modules, and Fσ := {M ∈ Mod-R : σ(M) = 0} is called the class of σ-torsionfree right R-modules. A right R-module M is called σ-projective if the functor HomR(M,−) preserves the exactness for any exact sequence 0 → A → B → C → 0 with A ∈ Fσ. We put Pσ(M) = P(M)/σ(K(M)) for a module M. We call a right R-module M a σ-CQF-3′ module if Pσ(M) is M-generated. In this paper, we characterize σ-CQF-3′ 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-3′ kn-keyword=QF-3′ 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=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-3′ 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-3′ module, if E(M) is M-torsionless, that is, E(M) is isomorphic to a submodule of a direct product ΠM of some copies of M. A subfunctor of the identity functor of Mod-R is called a preradical. For a preradical σ, Tσ := {M ∈ Mod-R : σ(M) = M} is the class of σ-torsion right R-modules, and Fσ := {M ∈ Mod-R : σ(M) = 0} is the class of σ-torsionfree right R-modules. A right R-module M is called σ-injective if the functor HomR(−,M) preserves the exactness for any exact sequence 0 → A → B → C → 0 with C ∈ Tσ. A right R-module M is called σ-QF-3′ module if Eσ(M) is M-torsionless, where Eσ(M) is defined by Eσ(M)/M := σ(E(M)/M). In this paper, we characterize σ-QF-3′ 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-3′ kn-keyword=QF-3′ 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=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 Ribet’s result ([7]) on the finiteness of torsion subgroup of A(K(ζ)). 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 ℤ-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=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 (H′2m) when any abelian extension of exponent dividing 2m has a normal basis with respect to rings of 2-integers. We say that it satisfies (H′ 2) when it satisfies (H′ 2m) for all m. We give a condition for F to satisfy (H'2m), and show that the imaginary quadratic fields F = Q(√−1) and Q(√−2) satisfy the very strong condition (H′ 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=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=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=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=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 ∂xf∂x = 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=PeñaDixan Peña en-aut-sei=Peña en-aut-mei=Dixan Peña 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=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 ℚ with 3 parameters of degree 40 as a result of the inverse Galois problem. Its Galois group over ℚ (resp. ℚ(√-3)) is isomorphic to PGSp4(3) (resp. PSp4(3)) and it is a regular PSp4(3)-polynomial over ℚ(p√−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=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 RΓI with support in the closed subset defined by an ideal I and the generalized local cohomology functor RΓI,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=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=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=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) (gr-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 n) is a perfect cotorsion theory, (3) (gr-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=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 ℚ(i) and ℚ(√−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=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 Γ of SL(2,ℝ), 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 Γ. 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=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 γ-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=γ-adic codes kn-keyword=γ-adic codes 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 Schrödinger operator kn-keyword=magnetic Schrödinger 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=24 cd-vols= no-issue=1 article-no= start-page=25 end-page=35 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An application of certain multiplicities of C∞ map germs en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AndoYoshifumi en-aut-sei=Ando en-aut-mei=Yoshifumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Yamaguchi University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=1 article-no= start-page=53 end-page=71 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Subgroup SU(8)/Z2 of compact simple Lie group E7 and non-compact simple Lie group E{7(7)} of type E7 en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YokotaIchiro en-aut-sei=Yokota en-aut-mei=Ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=1 article-no= start-page=1 end-page=6 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on groups with isomorphic group algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FurukawaTôru en-aut-sei=Furukawa en-aut-mei=Tôru 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=24 cd-vols= no-issue=1 article-no= start-page=21 end-page=23 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On a theorem of M. S. Putcha and A. Yaqub en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka City University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=1 article-no= start-page=15 end-page=19 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some remarks on bisimple rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=1 article-no= start-page=73 end-page=97 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Surgery obstruction of twisted products en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YoshidaTomoyoshi en-aut-sei=Yoshida en-aut-mei=Tomoyoshi 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=24 cd-vols= no-issue=1 article-no= start-page=7 end-page=13 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some polynomial identities and commutativity of s-unital rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= en-aut-name=KobayashiYuji en-aut-sei=Kobayashi en-aut-mei=Yuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Tokushima University affil-num=3 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=1 article-no= start-page=45 end-page=51 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On J-groups of S^l(RP(t-l)/RP(n-l)) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KônoSusumu en-aut-sei=Kôno en-aut-mei=Susumu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TamamuraAkie en-aut-sei=Tamamura en-aut-mei=Akie kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University of Science END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=1 article-no= start-page=37 end-page=44 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the iterated Samelson product en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KachiHideyuki en-aut-sei=Kachi en-aut-mei=Hideyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=2 article-no= start-page=137 end-page=152 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A certain type of commutative Hopf Galois extensions and their groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi 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=24 cd-vols= no-issue=2 article-no= start-page=167 end-page=178 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Notes on stable equivariant maps en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IzumiyaSyuichi en-aut-sei=Izumiya en-aut-mei=Syuichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Nara Women's University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=2 article-no= start-page=99 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On right p.p. rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= en-aut-name=HonganMotoshi en-aut-sei=Hongan en-aut-mei=Motoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=ÔhoriMasayuki en-aut-sei=Ôhori en-aut-mei=Masayuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Tsuyama College of Technology affil-num=3 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=2 article-no= start-page=133 end-page=136 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the equational definability of addition in rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka City University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=2 article-no= start-page=117 end-page=132 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On strongly prime modules and related topics en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HonganMotoshi en-aut-sei=Hongan en-aut-mei=Motoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tsuyama College of Technology END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=2 article-no= start-page=179 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The S^1-transfer map and homotopy groups of suspended complex projective spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MukaiJuno en-aut-sei=Mukai en-aut-mei=Juno kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=2 article-no= start-page=111 end-page=115 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some polynomial identities and commutativity of s-unital rings. II en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YaqubAdil en-aut-sei=Yaqub en-aut-mei=Adil kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=University of California END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=2 article-no= start-page=157 end-page=165 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A construction of spaces with general connections which have points swallowing geodesics 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=Science University of Tokyo END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=2 article-no= start-page=153 end-page=156 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On an individual ergodic theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=1 article-no= start-page=41 end-page=49 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Notes on a conjecture of P. Erdös. II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YorinagaMasataka en-aut-sei=Yorinaga en-aut-mei=Masataka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=UchiyamaSaburô en-aut-sei=Uchiyama en-aut-mei=Saburô kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=1 article-no= start-page=67 end-page=72 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Two commutativity theorems for rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=1 article-no= start-page=77 end-page=82 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Restricted semiprimary group rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SrivastavaJ. B. en-aut-sei=Srivastava en-aut-mei=J. B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=GuptaVishnu en-aut-sei=Gupta en-aut-mei=Vishnu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Indian Institute of Technology affil-num=2 en-affil= kn-affil=Alfateh University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=1 article-no= start-page=1 end-page=16 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the fixed point set of S^1-actions on the complex flag manifolds en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HokamaKenji en-aut-sei=Hokama en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KônoSusumu en-aut-sei=Kôno en-aut-mei=Susumu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=1 article-no= start-page=25 end-page=40 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Simply connected smooth 4-manifolds which admit nontrivial smooth S^1 actions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YoshidaTomoyoshi en-aut-sei=Yoshida en-aut-mei=Tomoyoshi 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=20 cd-vols= no-issue=1 article-no= start-page=21 end-page=24 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on commutativity of rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MogamiIsao en-aut-sei=Mogami en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HonganMotoshi en-aut-sei=Hongan en-aut-mei=Motoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Tsuyama College of Technology affil-num=2 en-affil= kn-affil=Tsuyama College of Technology END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=1 article-no= start-page=73 end-page=76 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on the n-center of an algebra en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IkehataShûichi en-aut-sei=Ikehata en-aut-mei=Shûichi 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=20 cd-vols= no-issue=1 article-no= start-page=17 end-page=20 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On rings satisfying some polynomial identities en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KayaArif en-aut-sei=Kaya en-aut-mei=Arif kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Middle East Technical University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=1 article-no= start-page=83 end-page=86 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the p'-section sum in a finite group ring en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TsushimaYukio en-aut-sei=Tsushima en-aut-mei=Yukio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka City University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=1 article-no= start-page=59 end-page=65 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On a theorem of S. Koshitani 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=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=1 article-no= start-page=51 end-page=58 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Numerical investigation of some equations involving Euler's φ-function en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YorinagaMasataka en-aut-sei=Yorinaga en-aut-mei=Masataka 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=20 cd-vols= no-issue=1 article-no= start-page=87 end-page=89 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197803 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the p-rationality of lifted characters en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NobusatoYoshiyasu en-aut-sei=Nobusato en-aut-mei=Yoshiyasu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka City University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=2 article-no= start-page=131 end-page=140 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On powers of artinian rings without identity en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MuraseIchiro en-aut-sei=Murase en-aut-mei=Ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Japan Women's University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=2 article-no= start-page=165 end-page=177 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The monoid structure of Galois H-dimodule algebras induced by the smash product en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi 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=20 cd-vols= no-issue=2 article-no= start-page=91 end-page=99 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Direct sums of nonsingular indecomposable injective modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= en-aut-name=OshiroKiyoichi en-aut-sei=Oshiro en-aut-mei=Kiyoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Yamaguchi University affil-num=2 en-affil= kn-affil=Yamaguchi University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=2 article-no= start-page=123 end-page=129 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On generalizations of V-rings and regular rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=Yue Chi MingRoger en-aut-sei=Yue Chi Ming en-aut-mei=Roger kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Université Paris VII END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=2 article-no= start-page=115 end-page=121 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Covers of abelian groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=O'neillJohn D. en-aut-sei=O'neill en-aut-mei=John D. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Detroit END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=2 article-no= start-page=179 end-page=181 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Commutativity of certain rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KishimotoKazuo en-aut-sei=Kishimoto en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MogamiIsao en-aut-sei=Mogami en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University affil-num=2 en-affil= kn-affil=Tsuyama College of Technology END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=2 article-no= start-page=101 end-page=113 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On some sums involving farey fractions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KanemitusShigeru en-aut-sei=Kanemitus en-aut-mei=Shigeru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kyushu University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=2 article-no= start-page=151 end-page=163 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Numerical computation of Carmichael numbers en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YorinagaMasataka en-aut-sei=Yorinaga en-aut-mei=Masataka 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=20 cd-vols= no-issue=2 article-no= start-page=141 end-page=149 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some studies on strongly π-regular rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=Hiroshima University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=147 end-page=150 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Equivalence of module categories en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KyunoShoji en-aut-sei=Kyuno en-aut-mei=Shoji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tohoku Gakuin University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=133 end-page=146 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=SI-modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YousifMohamed F. en-aut-sei=Yousif en-aut-mei=Mohamed F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University Of Calgary END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=29 end-page=36 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Products of Galois objects and the Picard invariant map en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ChildsLindsay N. en-aut-sei=Childs en-aut-mei=Lindsay N. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=State University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=151 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An O theorem for a class of Dirichlet series en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=RedmondDon en-aut-sei=Redmond en-aut-mei=Don kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Southern Illinois University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=53 end-page=60 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An algebraic proof of a theorem of Warfield on algebraically compact modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AzumayaGoro en-aut-sei=Azumaya en-aut-mei=Goro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Indiana Universdity END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=65 end-page=91 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The category of s-unital modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki 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=28 cd-vols= no-issue=1 article-no= start-page=1 end-page=5 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A characterization of quadratic residue codes en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ItoNoboru en-aut-sei=Ito en-aut-mei=Noboru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Konan University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=115 end-page=118 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Jacobson's conjecture en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=MogamiIsao en-aut-sei=Mogami en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=Tsuyama College Of Technology END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=101 end-page=103 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On periodic rings and related rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=159 end-page=163 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on the ergodic Hilbert transform en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=21 end-page=27 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The group of Galois H-dimodule algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=Blanco-FerroAntonio A. en-aut-sei=Blanco-Ferro en-aut-mei=Antonio A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Lopez LopezMiguel A. en-aut-sei=Lopez Lopez en-aut-mei=Miguel A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universidad De Santiago affil-num=2 en-affil= kn-affil=Universidad De Santiago END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=15 end-page=20 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Notes on biquadratic cyclic extensions of a commutative ring en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KishimotoKazuo en-aut-sei=Kishimoto en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=61 end-page=64 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A ring topology based on submodules over an Asano order of a ring en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MurataKentaro en-aut-sei=Murata en-aut-mei=Kentaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokuyama University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=7 end-page=13 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On some Cohen-Macaulay subsets of a partially ordered abelian group en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NowickiAndrzej en-aut-sei=Nowicki en-aut-mei=Andrzej kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KishimotoKazuo en-aut-sei=Kishimoto en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=N.Copernicus University affil-num=2 en-affil= kn-affil=Shinshu University affil-num=3 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=109 end-page=113 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Derivations algebriques sur un ideal dans les anneaux semi-premiers en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TrzepizurAndrzej en-aut-sei=Trzepizur en-aut-mei=Andrzej kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Université Jagellone END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=119 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On restricted anti-Hopfian modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= en-aut-name=MogamiIsao en-aut-sei=Mogami en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Tsuyama College Of Technology END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=165 end-page=171 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Identification of the ratio ergodic limit for an invertible positive isometry on L1 en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=105 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On commutativity of s-unital rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=191 end-page=206 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the fixed point set of S¹-actions on the space whose rational cohomology ring is generated by elements of degree 2 en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HokamaKenji en-aut-sei=Hokama en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KônoSusumu en-aut-sei=Kôno en-aut-mei=Susumu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Osaka University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=105 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On commutativity conditions for rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=StrebWalter en-aut-sei=Streb en-aut-mei=Walter kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Universitat-Ghs-Essen END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=41 end-page=51 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Azumaya's exact rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=CamilloVictor P. en-aut-sei=Camillo en-aut-mei=Victor P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=FullerKent R. en-aut-sei=Fuller en-aut-mei=Kent R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=HaackJoel K. en-aut-sei=Haack en-aut-mei=Joel K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=University Of Iowa affil-num=2 en-affil= kn-affil=University Of Iowa affil-num=3 en-affil= kn-affil=Oklahoma State University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=37 end-page=39 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cozzens domains are hereditary en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FaithCarl en-aut-sei=Faith en-aut-mei=Carl kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=State University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=207 end-page=217 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Families of geodesics which distinguish flat tori en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=InnamiNobuhiro en-aut-sei=Innami en-aut-mei=Nobuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Hiroshima University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=97 end-page=100 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some conditions for commutativity of rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao 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=28 cd-vols= no-issue=1 article-no= start-page=173 end-page=189 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The classification of homogeneous structures on 3-dimensional space forms en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AbeKoji en-aut-sei=Abe en-aut-mei=Koji 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=46 cd-vols= no-issue=1 article-no= start-page=141 end-page=152 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Perron Problem for C-Semigroups en-subtitle= kn-subtitle= en-abstract= kn-abstract=

<p>Characterizations of Perron-type for the exponential stability of exponentially bounded C-semigroups are given. Also, some applications for the asymptotic behavior of the integrated semigroups are obtained.</p>

en-copyright= kn-copyright= en-aut-name=PradaPetre en-aut-sei=Prada en-aut-mei=Petre kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=PoganAlin en-aut-sei=Pogan en-aut-mei=Alin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=PredaCiprian en-aut-sei=Preda en-aut-mei=Ciprian kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=West University of Timisoara affil-num=2 en-affil= kn-affil=University of Missouri affil-num=3 en-affil= kn-affil=West University of Timisoara en-keyword=C-semigroups kn-keyword=C-semigroups en-keyword= exponential stability. kn-keyword= exponential stability. END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=1 end-page=8 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Results on prime near-ring with (σ,τ)-derivation en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let N be a prime left near-ring with multiplicative centerZ; and D be a (α, γ)derivation such that δD = Dδ and ΓD = DΓ(i)If D(N)⊂ Z; or [D(N);D(N)] = 0 or [D(N);D(N)]σ, γ= 0; then (N; +)is abelian. (ii) If N is 2-torsion free, d1 is a (α, γ)-derivation and d2 is a derivation on N such that d1d2(N) = 0, then d1 = 0 or d2 = 0.

en-copyright= kn-copyright= en-aut-name=GolbasiOznur en-aut-sei=Golbasi en-aut-mei=Oznur kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AydinNeset en-aut-sei=Aydin en-aut-mei=Neset 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=Canakkale 18 Mart University en-keyword=Prime Near-Ring kn-keyword=Prime Near-Ring en-keyword=Derivation kn-keyword=Derivation en-keyword=(σ,τ)-Derivation. kn-keyword=(σ,τ)-Derivation. END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=163 end-page=182 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Metric Invariants of Spheres and Alexandrov Spaces I en-subtitle= kn-subtitle= en-abstract= kn-abstract=

A metric invariant ak is defined, and we have that ak(X)≤ak(Sn) holds in an Alexandrov space X with curvature ≥ 1. And the borderline case when a3(X) = a3(Sn) and ak(S1) are studied.

en-copyright= kn-copyright= en-aut-name=SochiNobuyuki en-aut-sei=Sochi en-aut-mei=Nobuyuki 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=Metric Invariants;Alexandrov Spaces;Borderline Cases kn-keyword=Metric Invariants;Alexandrov Spaces;Borderline Cases END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=153 end-page=162 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Strong Approximation of Functions by Certain Linear Operators en-subtitle= kn-subtitle= en-abstract= kn-abstract=

This note is motivated by the results on the strong approximation of 2Π-periodic functions by means of trigonometric Fourier series.In this note is investigated certain class of positive linear operators in the polynomial weighted spaces. We introduce the strong differences of functions and their operators and we give the Jackson type theorems for them. We give also some corollaries.

en-copyright= kn-copyright= en-aut-name=RempulskaLucyna en-aut-sei=Rempulska en-aut-mei=Lucyna kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SkorupkaMariola en-aut-sei=Skorupka en-aut-mei=Mariola kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=University of Technology Piotrowo affil-num=2 en-affil= kn-affil=University of Technology Piotrowo en-keyword=linear operator kn-keyword=linear operator en-keyword=degree of approximation kn-keyword=degree of approximation en-keyword=strong kn-keyword=strong en-keyword= approximation. kn-keyword= approximation. END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=121 end-page=130 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Commutative Gelfand Theory for Real Banach Algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Pfaffenberger and Phillips [2] consider a real and unital case of the classical commutative Gelfand theorem and obtain two representation theorems. One is to represent a unital real commutative Banach algebra A as an algebra of continuous functions on the unital homomorphism space ΦA. The other is to represent A as an algebra of continuous sections on the maximal ideal space MA. In this note, we point out that similar theorems for non-unital case hold and show that two representation theorems are essentially identical.

en-copyright= kn-copyright= en-aut-name=TakahashiSin-Ei en-aut-sei=Takahashi en-aut-mei=Sin-Ei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MiuraTakeshi en-aut-sei=Miura en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=HatoriOsamu en-aut-sei=Hatori en-aut-mei=Osamu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Yamagata University affil-num=2 en-affil= kn-affil=Yamagata University affil-num=3 en-affil= kn-affil=Niigata University, Niigata en-keyword=real commutative Banach algebras kn-keyword=real commutative Banach algebras en-keyword=real algebra homomorphisms kn-keyword=real algebra homomorphisms en-keyword= commutative Gelfand theory. kn-keyword= commutative Gelfand theory. END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=131 end-page=140 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Study of Fq-Functions Connected with Ramanujan's Tenth Order Mock Theta Functions en-subtitle= kn-subtitle= en-abstract= kn-abstract=

<P>We have defined generalized functions which reduce to Ramanujan's mock theta functions of order ten. We have shown that they are Fq-functions. We have given their integral representation and multibasic expansions.

en-copyright= kn-copyright= en-aut-name=SrivastavaBhaskar en-aut-sei=Srivastava en-aut-mei=Bhaskar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Lucknow University en-keyword=q-Bibasic Hypergeometric Series kn-keyword=q-Bibasic Hypergeometric Series en-keyword= Multibasic Series. kn-keyword= Multibasic Series. END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=9 end-page=16 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Simple-Injective Modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SumiokaTakashi en-aut-sei=Sumioka en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TokashikiTakashi en-aut-sei=Tokashiki 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=Osaka City University affil-num=2 en-affil= kn-affil=Osaka City University END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=115 end-page=120 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Remark on Cup-Products en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=University of Electro-Communications en-keyword=CW complexes kn-keyword=CW complexes en-keyword=coaction map kn-keyword=coaction map en-keyword= Whitehead product. kn-keyword= Whitehead product. END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=85 end-page=104 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Igusa Local Zeta Functions of Regular 2-Simple Prehomogeneous Vector Spaces of Type I with Universally Transitive Open Orbits en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=WakatsukiSatoshi en-aut-sei=Wakatsuki 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=Osaka University en-keyword=Igusa local zeta functions kn-keyword=Igusa local zeta functions en-keyword=prehomogeneous vector spaces kn-keyword=prehomogeneous vector spaces en-keyword= universally transitive open orbits. kn-keyword= universally transitive open orbits. END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=77 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Principal Ideals in Ore Extensions en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper we prove that if R is a prime ring and I is an R-disjoint ideal of an Ore extension R[χ, δ,d], then I is closed and principal generated by a normal polynomial of minimal degree if and only if I contains a Sharma polynomial of minimal degree.

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=FerreroMiguel en-aut-sei=Ferrero en-aut-mei=Miguel kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universidade Estadual affil-num=2 en-affil= kn-affil=Universidade Federal do Rio Grande do Sul en-keyword=principal ideals kn-keyword=principal ideals en-keyword=Sharma polynomials kn-keyword=Sharma polynomials en-keyword= Ore extensions. kn-keyword= Ore extensions. END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=105 end-page=114 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Noncritical Belyi Maps en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In the present paper, we present a slightly strengthened version of a well-known theorem of Belyi on the existence of "Belyi maps". Roughly speaking, this strengthened version asserts that there exist Belyi maps which are unramified at [cf.Theorem 2.5] - or even near [cf.Corollary 3.2] - a prescribed finite set of points.

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=Belyi map kn-keyword=Belyi map en-keyword= Zariski base. kn-keyword= Zariski base. END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=39 end-page=76 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Eigenloci of 5 Point Configurations on the Riemann Sphere and the Grothendieck-Teichm・ler Group en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=LochakPierre en-aut-sei=Lochak en-aut-mei=Pierre 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= en-aut-name=SchnepsLeila en-aut-sei=Schneps en-aut-mei=Leila kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=175 rue de Chevaleret affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=175 rue de Chevaleret en-keyword=Riemann Spheres;Point Configurations;Grothendieck-Teichm?ler Group;Galois Group;Rational Numbers;Modular Group kn-keyword=Riemann Spheres;Point Configurations;Grothendieck-Teichm?ler Group;Galois Group;Rational Numbers;Modular Group END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=31 end-page=38 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Hasse Principle" for Finite p-Groups with Cyclic Subgroups of Index p2 en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FumaMichitaku en-aut-sei=Fuma en-aut-mei=Michitaku kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NinomiyaYasushi en-aut-sei=Ninomiya en-aut-mei=Yasushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University affil-num=2 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=17 end-page=30 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Upper Cohen-Macaulay Dimension en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension. This invariant is quite similar to Cohen-Macaulay dimension that has been introduced by Gerko. Also we define a homological invariant with respect to a local homomorphism of local rings. This invariant links upper Cohen-Macaulay dimension with Gorenstein dimension.

en-copyright= kn-copyright= en-aut-name=ArayaTokuji en-aut-sei=Araya en-aut-mei=Tokuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TakahashiRyo en-aut-sei=Takahashi en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 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=3 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=Okayama University en-keyword=Gorenstein dimension (G-dimension) kn-keyword=Gorenstein dimension (G-dimension) en-keyword= Cohen-Macaulay dimension (CM-dimension). kn-keyword= Cohen-Macaulay dimension (CM-dimension). END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=1 article-no= start-page=59 end-page=65 dt-received= dt-revised= dt-accepted= dt-pub-year=1974 dt-pub=197412 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Imbeddings of some separable extensions in Galois extensions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi 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=17 cd-vols= no-issue=1 article-no= start-page=1 end-page=17 dt-received= dt-revised= dt-accepted= dt-pub-year=1974 dt-pub=197412 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Ricci curvatures and equivalence of Riemannian manifolds en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NasuToshio en-aut-sei=Nasu en-aut-mei=Toshio 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=17 cd-vols= no-issue=1 article-no= start-page=49 end-page=58 dt-received= dt-revised= dt-accepted= dt-pub-year=1974 dt-pub=197412 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On separable polynomials over a commutative ring IV en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=1 article-no= start-page=39 end-page=47 dt-received= dt-revised= dt-accepted= dt-pub-year=1974 dt-pub=197412 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On isomorphisms of weakly Galois extensions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FerreroMiguel A. en-aut-sei=Ferrero en-aut-mei=Miguel A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Universidad De Rosario END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=1 article-no= start-page=19 end-page=38 dt-received= dt-revised= dt-accepted= dt-pub-year=1974 dt-pub=197412 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On minimal suraces in a Riemannian manifold of constant curvature en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ItohTakehiro en-aut-sei=Itoh en-aut-mei=Takehiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokyo University Of Education END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=1 article-no= start-page=75 end-page=94 dt-received= dt-revised= dt-accepted= dt-pub-year=1974 dt-pub=197412 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=g-adical analogues of some arithmetical functions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ShiokawaIekata en-aut-sei=Shiokawa en-aut-mei=Iekata kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokyo University Of Education END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=1 article-no= start-page=67 end-page=74 dt-received= dt-revised= dt-accepted= dt-pub-year=1974 dt-pub=197412 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The estimation of multiple correlation coefficient in stratified random sampling en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=WakimotoKazumasa en-aut-sei=Wakimoto en-aut-mei=Kazumasa 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=17 cd-vols= no-issue=2 article-no= start-page=135 end-page=148 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On generalized Harrison cohomology and Galois object en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi 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=17 cd-vols= no-issue=2 article-no= start-page=165 end-page=170 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On two theorems of A. Abian en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MogamiIsao en-aut-sei=Mogami en-aut-mei=Isao 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=17 cd-vols= no-issue=2 article-no= start-page=177 end-page=180 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Remarks on manifolds of negative curvature en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IchidaRyosuke en-aut-sei=Ichida en-aut-mei=Ryosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokyo Institute Of Technology END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=2 article-no= start-page=95 end-page=101 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the true maximum order of a class of arithmetical functions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SuryanarayanaD. en-aut-sei=Suryanarayana en-aut-mei=D. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Chandra RaoR. Sita Rama en-aut-sei=Chandra Rao en-aut-mei=R. Sita Rama kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Andhra University affil-num=2 en-affil= kn-affil=Andhra University END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=2 article-no= start-page=131 end-page=134 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Riemannian manifolds of non-positive sectional curvature admitting a killing vector field en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IchidaRyosuke en-aut-sei=Ichida en-aut-mei=Ryosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokyo Institute Of Technology END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=2 article-no= start-page=125 end-page=130 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On coprimary decomposition theory for modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MogamiIsao en-aut-sei=Mogami en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=2 article-no= start-page=171 end-page=176 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the subgroups H of a group G such that J(KH)KG ⊃ J(KG) 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= en-aut-name=NinomiyaYasushi en-aut-sei=Ninomiya en-aut-mei=Yasushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=2 article-no= start-page=103 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Centralizers of a module over a quasi-Frobenius extension en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KitamuraYoshimi en-aut-sei=Kitamura en-aut-mei=Yoshimi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokyo Gakugei University END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=2 article-no= start-page=181 end-page=186 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the fixed point set of S¹-actions on CP^m×CP^n en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HokamaKenji en-aut-sei=Hokama 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=2 article-no= start-page=159 end-page=163 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On decompositions into simple rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao 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=17 cd-vols= no-issue=2 article-no= start-page=149 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On a generalized p-vector curvature and its applications en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NasuToshio en-aut-sei=Nasu en-aut-mei=Toshio 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=22 cd-vols= no-issue=1 article-no= start-page=27 end-page=32 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Blum-Hanson theorem in Lp en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=22 cd-vols= no-issue=1 article-no= start-page=51 end-page=54 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on commutativity of rings. II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MogamiIsao en-aut-sei=Mogami en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tsuyama College END start-ver=1.4 cd-journal=joma no-vol=22 cd-vols= no-issue=1 article-no= start-page=59 end-page=60 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on separable polynomials in skew polynomial rings of derivation type en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IkehataShûichi en-aut-sei=Ikehata en-aut-mei=Shûichi 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=22 cd-vols= no-issue=1 article-no= start-page=1 end-page=3 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on commutative separable algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=WangStuart Sui-Sheng en-aut-sei=Wang en-aut-mei=Stuart Sui-Sheng 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=22 cd-vols= no-issue=1 article-no= start-page=73 end-page=76 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on separable polynomials in skew polynomial rings of automorphism type en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi 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=22 cd-vols= no-issue=1 article-no= start-page=21 end-page=26 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On automorphisms of skew polynomial rings of derivation type en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=KishimotoKazuo en-aut-sei=Kishimoto en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universidade Federal affil-num=2 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=22 cd-vols= no-issue=1 article-no= start-page=17 end-page=20 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On QF-2 algebras with commutative radicals en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AsanoShigemoto en-aut-sei=Asano en-aut-mei=Shigemoto 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=Shinshu University affil-num=2 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=22 cd-vols= no-issue=1 article-no= start-page=55 end-page=57 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Equational definability of addition in rings satisfying polynomial identities en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=Abu-KhuzamHazar en-aut-sei=Abu-Khuzam en-aut-mei=Hazar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YaqubAdil en-aut-sei=Yaqub en-aut-mei=Adil kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=University Of Petroleum And Minerals affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=University Of California END