start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=1 end-page=36 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Review on higher homotopies in the theory of H-spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=Higher homotopy in the theory of H-spaces started from the works by Sugawara in the 1950th. In this paper we review the development of the theory of H-spaces associated with it. Mainly there are two types of higher homotopies, homotopy associativity and homotopy commutativity. We give explanations of the polytopes used as the parameter spaces of those higher forms. en-copyright= kn-copyright= en-aut-name=HemmiYutaka en-aut-sei=Hemmi en-aut-mei=Yutaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Science and Technology Kochi University kn-affil= en-keyword=H-space kn-keyword=H-space en-keyword=higher homotopy associativity kn-keyword=higher homotopy associativity en-keyword=An-form kn-keyword=An-form en-keyword=higher homotopy commutativity kn-keyword=higher homotopy commutativity en-keyword=associahedra kn-keyword=associahedra en-keyword=multiplihedra kn-keyword=multiplihedra en-keyword=permutohedra kn-keyword=permutohedra en-keyword=resultohedra kn-keyword=resultohedra en-keyword=permuto-associahedra kn-keyword=permuto-associahedra en-keyword=cyclohedra kn-keyword=cyclohedra END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=37 end-page=58 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Tomita-Takesaki theory and its application to the structure theory of factors of type III en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give a survey of Tomita-Takesaki theory and the development of analysis of structure of type III factors, which started from Tomita-Takesaki theory. en-copyright= kn-copyright= en-aut-name=MasudaToshihiko en-aut-sei=Masuda en-aut-mei=Toshihiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Mathematics, Kyushu University kn-affil= en-keyword=Tomita-Takesaki theory kn-keyword=Tomita-Takesaki theory en-keyword= type III factors kn-keyword= type III factors en-keyword= injective factors kn-keyword= injective factors END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=59 end-page=72 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Absolute continuity of the representing measures of the transmutation operators attached to the root system of type BC2 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We prove in this paper the absolute continuity of the representing measures of the transmutation operators Vk, tVk and VkW, tVkW associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type BC2. en-copyright= kn-copyright= en-aut-name=Trim?cheKhalifa en-aut-sei=Trim?che en-aut-mei=Khalifa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of sciences of Tunis University kn-affil= en-keyword=Transmutation operators kn-keyword=Transmutation operators en-keyword=Absolute continuity of the representing measures kn-keyword=Absolute continuity of the representing measures en-keyword=Cherednik operators kn-keyword=Cherednik operators en-keyword=Heckman-Opdam theory kn-keyword=Heckman-Opdam theory END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=73 end-page=89 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Stable splittings of the complex connective K-theory of BSO(2n+1) en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give the stable splittings of the complex connective K-theory of the classifying space BSO(2n + 1), n?1. en-copyright= kn-copyright= en-aut-name=WuTsung-Hsuan en-aut-sei=Wu en-aut-mei=Tsung-Hsuan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics National Tsing Hua University kn-affil= en-keyword=stable splitting kn-keyword=stable splitting en-keyword=complex connective K-theory kn-keyword=complex connective K-theory en-keyword=classifying space kn-keyword=classifying space en-keyword=Adams spectral sequence kn-keyword=Adams spectral sequence END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=91 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Primary decompositions in abelian R-categories en-subtitle= kn-subtitle= en-abstract= kn-abstract=We shall generalize the theory of primary decomposition and associated prime ideals of ?nitely generated modules over a noetherian ring to general objects in an abelian R-category where R is a noetherian commutative ring. en-copyright= kn-copyright= en-aut-name=SatoKenichi en-aut-sei=Sato en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YoshinoYuji en-aut-sei=Yoshino en-aut-mei=Yuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Natural Science and Technology Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=109 end-page=135 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on a central limit theorem for non-symmetric random walks on crystal lattices en-subtitle= kn-subtitle= en-abstract= kn-abstract=Recently, Ishiwata, Kawabi and Kotani [4] proved two kinds of central limit theorems for non-symmetric random walks on crystal lattices from the view point of discrete geometric analysis developed by Kotani and Sunada. In the present paper, we establish yet another kind of the central limit theorem for them. Our argument is based on a measure-change technique due to Alexopoulos [1]. en-copyright= kn-copyright= en-aut-name=NambaRyuya en-aut-sei=Namba en-aut-mei=Ryuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Natural Sciences, Okayama University kn-affil= en-keyword=crystal lattice kn-keyword=crystal lattice en-keyword=central limit theorem kn-keyword=central limit theorem en-keyword=non-symmetric random walk kn-keyword=non-symmetric random walk en-keyword=(modi?ed) harmonic realization kn-keyword=(modi?ed) harmonic realization END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=137 end-page=153 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A non-symmetric diffusion process on the Wiener space en-subtitle= kn-subtitle= en-abstract= kn-abstract=We discuss a non-symmetric diffusion process on the Wiener space. The process we consider is generated by A = L + b, L being the Ornstein-Uhlenbeck operator and b being a vector ?eld. Under suitable integrability condition for b, we show the existence of associated diffusion process. We also investigate the domain of the generator. Further we consider a similar problem in the ?nite dimensional Euclidean space. en-copyright= kn-copyright= en-aut-name=ShigekawaIchiro en-aut-sei=Shigekawa en-aut-mei=Ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Graduate School of Science Kyoto University kn-affil= en-keyword=non-symmetric Dirichlet form kn-keyword=non-symmetric Dirichlet form en-keyword=Wiener space kn-keyword=Wiener space en-keyword=logarithmic Sobolev inequality kn-keyword=logarithmic Sobolev inequality en-keyword=generator domain kn-keyword=generator domain END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=155 end-page=164 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Arithmetic of positive integers having prime sums of complementary divisors en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study a class of integers called SP numbers (Sum Prime numbers). An SP number is by de?nition a positive integer d that gives rise to a prime number (a + b)=gcd(4; 1 + d) from every factorization d = ab. We also discuss properties of SP numbers in relations with arithmetic of imaginary quadratic ?elds (least split primes, exponents of ideal class groups). Further we point out that special cases of SP numbers provide the problems of distribution of prime numbers (twin primes, Sophi-Germain primes, quadratic progressions). Finally, we consider the problem whether there exist in?nitely many SP numbers. en-copyright= kn-copyright= en-aut-name=ShimizuKenichi en-aut-sei=Shimizu en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=SP number kn-keyword=SP number en-keyword=prime number kn-keyword=prime number en-keyword= imaginary quadratic fi?eld kn-keyword= imaginary quadratic fi?eld END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=165 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An alternative proof of some results on the framed bordism classes of low rank simple Lie groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=We present a uni?ed proof of some known results on the framed bordism classes of low rank simple Lie groups. en-copyright= kn-copyright= en-aut-name=MinamiHaruo en-aut-sei=Minami en-aut-mei=Haruo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Nara University of Education kn-affil= en-keyword=framed manifolds kn-keyword=framed manifolds en-keyword=simple Lie groups kn-keyword=simple Lie groups en-keyword=stable homotopy groups kn-keyword=stable homotopy groups END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=175 end-page=208 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Indecomposability of various profinite groups arising from hyperbolic curves en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we prove that the etale fundamental group of a hyperbolic curve over an arithmetic field [e.g., a finite extension field of Q or Qp] or an algebraically closed field is indecomposable [i.e., cannot be decomposed into the direct product of nontrivial profinite groups]. Moreover, in the case of characteristic zero, we also prove that the etale fundamental group of the configuration space of a curve of the above type is indecomposable. Finally, we consider the topic of indecomposability in the context of the comparison of the absolute Galois group of Q with the Grothendieck-Teichmuller group GT and pose the question: Is GT indecomposable? We give an affirmative answer to a pro-l version of this question en-copyright= kn-copyright= en-aut-name=MinamideArata en-aut-sei=Minamide en-aut-mei=Arata kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences Kyoto University kn-affil= en-keyword=indecomposability kn-keyword=indecomposability en-keyword=etale fundamental group kn-keyword=etale fundamental group en-keyword=hyperbolic curve kn-keyword=hyperbolic curve en-keyword=con?guration space kn-keyword=con?guration space en-keyword=Grothendieck-Teichmuller group kn-keyword=Grothendieck-Teichmuller group END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=209 end-page=219 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Necessary and sufficient Tauberian conditions for the A^r method of summability en-subtitle= kn-subtitle= en-abstract= kn-abstract=M?ricz and Rhoades determined the necessary and sufficient Tauberian conditions for certain weighted mean methods of summability in [Acta. Math. Hungar. 102(4) (2004), 279{285]. In the present paper, we deal with the necessary and sufficient Tauberian conditions for the Ar method which was introduced by Bas?ar in [F?rat ?niv. Fen & M?h. Bil. Dergisi 5(1)(1993), 113{117]. en-copyright= kn-copyright= en-aut-name=Talo?zer en-aut-sei=Talo en-aut-mei=?zer kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Bas?arFeyzi en-aut-sei=Bas?ar en-aut-mei=Feyzi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Science and Letters Manisa Celal Bayar University kn-affil= affil-num=2 en-affil=?n?n? University kn-affil= en-keyword=Summability by Ar methods kn-keyword=Summability by Ar methods en-keyword=one-sided and two-sided Tauberian conditions kn-keyword=one-sided and two-sided Tauberian conditions en-keyword=slowly oscillating sequences kn-keyword=slowly oscillating sequences END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=221 end-page=231 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A binomial-coefficient identity arising from the middle discrete series of SU(2,2) en-subtitle= kn-subtitle= en-abstract= kn-abstract=The aim of this paper is to answer the question in Remark 8.2 of Takahiro Hayata, Harutaka Koseki, and Takayuki Oda, Matrix coefficients of the middle discrete series of SU(2; 2), J. Funct. Anal. 185 (2001), 297{341, by giving an elementary proof of certain identities on binomials. en-copyright= kn-copyright= en-aut-name=HayataTakahiro en-aut-sei=Hayata en-aut-mei=Takahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=IshikawaMasao en-aut-sei=Ishikawa en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Science and Engineering, Yamagata University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=binomial-coefficient identity kn-keyword=binomial-coefficient identity en-keyword=middle discrete series kn-keyword=middle discrete series en-keyword= real semi-simple Lie groups. kn-keyword= real semi-simple Lie groups. END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=233 end-page=240 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the profinite abelian Beckmann-Black problem en-subtitle= kn-subtitle= en-abstract= kn-abstract=The main topic of this paper is to generalize the problem of Beckmann-Black for pro?nite groups. We introduce the Beckmann-Black problem for complete systems of ?finite groups and for unramified extensions. We prove that every Galois extension of profi?nite abelian group over a ƒÕ-free fi?eld is the specialization of some tower of regular Galois extensions of the same group. en-copyright= kn-copyright= en-aut-name=GhaziNour en-aut-sei=Ghazi en-aut-mei=Nour kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=University of Damascus, Faculty of Sciences, Department of Mathematics kn-affil= en-keyword=Inverse Galois theory kn-keyword=Inverse Galois theory en-keyword=algebraic covers kn-keyword=algebraic covers END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=1 end-page=18 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the existence of non-finite coverings of stable curves over complete discrete valuation rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let R be a complete discrete valuation ring with algebraically residue field of characteristic p > 0 and X a stable curve over R. In the present paper, we study the geometry of coverings of X. Under certain assumptions, we prove that, by replacing R by a finite extension of R, there exists a morphism of stable curves f : Y ¨ X over R such that the morphism fƒÅ : YƒÅ ¨ XƒÅ induced by f on generic fibers is finite ?tale and the morphism fs : Ys ¨ Xs induced by f on special fibers is non-finite. en-copyright= kn-copyright= en-aut-name=YangYu en-aut-sei=Yang en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences Kyoto University kn-affil= en-keyword=stable curve kn-keyword=stable curve en-keyword=stable covering kn-keyword=stable covering en-keyword=vertical point kn-keyword=vertical point en-keyword=admissible covering kn-keyword=admissible covering END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=19 end-page=35 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Berezin-Weyl quantization of Heisenberg motion groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= We introduce a SchrNodinger model for the generic representations of a Heisenberg motion group and we construct adapted Weyl correspondences for these representations by adapting the method introduced in [ B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177-190]. en-copyright= kn-copyright= en-aut-name=CahenBenjamin en-aut-sei=Cahen en-aut-mei=Benjamin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=DLepartement de mathLematiques UniversitLe de Lorraine kn-affil= en-keyword=Weyl correspondence kn-keyword=Weyl correspondence en-keyword=Berezin quantization kn-keyword=Berezin quantization en-keyword=Heisenberg motion group kn-keyword=Heisenberg motion group en-keyword=SchrNodinger representation kn-keyword=SchrNodinger representation en-keyword=Bargmann-Fock representation kn-keyword=Bargmann-Fock representation en-keyword=Segal-Bargmann transform kn-keyword=Segal-Bargmann transform en-keyword=unitary representation kn-keyword=unitary representation en-keyword=coadjoint orbit kn-keyword=coadjoint orbit END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=37 end-page=73 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Reconstruction of inertia groups associated to log divisors from a configuration space group equipped with its collection of log-full subgroups en-subtitle= kn-subtitle= en-abstract= kn-abstract= In the present paper, we study configuration space groups. The goal of this paper is to reconstruct group-theoretically the inertia groups associated to various types of log divisors of a log configuration space of a smooth log curve from the associated configuration space group equipped with its collection of log-full subgroups. en-copyright= kn-copyright= en-aut-name=HigashiyamaKazumi en-aut-sei=Higashiyama en-aut-mei=Kazumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences Kyoto University kn-affil= en-keyword=anabelian geometry kn-keyword=anabelian geometry en-keyword=configuration space kn-keyword=configuration space en-keyword= log divisor kn-keyword= log divisor en-keyword= log-full subgroup kn-keyword= log-full subgroup END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=75 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Diophantine equation in the form that a sum of cubes equals a sum of quintics en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IzadiFarzali en-aut-sei=Izadi en-aut-mei=Farzali kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BaghalaghdamMehdi en-aut-sei=Baghalaghdam en-aut-mei=Mehdi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Mehdi Baghalaghdam Department of Mathematics Faculty of Science Azarbaijan Shahid Madani University kn-affil= affil-num=2 en-affil=Mehdi Baghalaghdam Department of Mathematics Faculty of Science Azarbaijan Shahid Madani University kn-affil= en-keyword=Diophantine equations kn-keyword=Diophantine equations en-keyword=Cubes kn-keyword=Cubes en-keyword=Quintics kn-keyword=Quintics en-keyword=Elliptic curves kn-keyword=Elliptic curves en-keyword=Rank kn-keyword=Rank END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=85 end-page=98 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the structure of the profile of finite connected quandles en-subtitle= kn-subtitle= en-abstract= kn-abstract= We verify some cases of a conjecture by C. Hayashi on the structure of the profile of a finite connected quandle. en-copyright= kn-copyright= en-aut-name=WatanabeTaisuke en-aut-sei=Watanabe en-aut-mei=Taisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=connected quandle kn-keyword=connected quandle en-keyword=finite quandle kn-keyword=finite quandle END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=99 end-page=128 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Complex interpolation of smoothness Triebel-Lizorkin-Morrey spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= This paper extends the result in [8] to Triebel-Lizorkin-Morrey spaces which contains 4 parameters p, q, r, s. This paper reinforces our earlier paper [8] by Nakamura, the first and the third authors in two different directions. First, we include the smoothness parameter s and the second smoothness parameter r. In [8] we assumed s = 0 and r = 2. Here we relax the conditions on s and r to s ¸ R and 1 < r ? ‡. Second, we apply a formula obtained by Bergh in 1978 to prove our main theorem without using the underlying sequence spaces. en-copyright= kn-copyright= en-aut-name=HakimDenny Ivanal en-aut-sei=Hakim en-aut-mei=Denny Ivanal kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NogayamaToru en-aut-sei=Nogayama en-aut-mei=Toru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SawanoYoshihiro en-aut-sei=Sawano en-aut-mei=Yoshihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Mathematics and Information Sciences, Tokyo Metropolitan University kn-affil= affil-num=2 en-affil=Department of Mathematics and Information Sciences, Tokyo Metropolitan University kn-affil= affil-num=3 en-affil=Department of Mathematics and Information Sciences, Tokyo Metropolitan University kn-affil= en-keyword=smoothness Morrey spaces kn-keyword=smoothness Morrey spaces en-keyword=Triebel-Lizorkin-Morrey spaces kn-keyword=Triebel-Lizorkin-Morrey spaces en-keyword=complex interpolation kn-keyword=complex interpolation en-keyword=square function kn-keyword=square function END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=129 end-page=139 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems en-subtitle= kn-subtitle= en-abstract= kn-abstract= We prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function. en-copyright= kn-copyright= en-aut-name=ShimenoNobukazu en-aut-sei=Shimeno en-aut-mei=Nobukazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=School of Science and Technology Kwansei Gakuin University kn-affil= en-keyword=root system kn-keyword=root system en-keyword=hypergeometric function kn-keyword=hypergeometric function en-keyword=Whittaker function kn-keyword=Whittaker function END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=141 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cesaro Orlicz sequence spaces and their Kothe-Toeplitz duals en-subtitle= kn-subtitle= en-abstract= kn-abstract=The present paper focus on introducing certain classes of Ces?ro Orlicz sequences over n-normed spaces. We study some topological and algebraic properties of these spaces. Further, we examine relevant relations among the classes of these sequences. We show that these spaces are made n-BK-spaces under certain conditions. Finally, we compute the K?the-Toeplitz duals of these spaces. en-copyright= kn-copyright= en-aut-name=RajKuldip en-aut-sei=Raj en-aut-mei=Kuldip kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AnandRenu en-aut-sei=Anand en-aut-mei=Renu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=PandohSuruchi en-aut-sei=Pandoh en-aut-mei=Suruchi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= affil-num=2 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= affil-num=3 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= en-keyword=Orlicz function kn-keyword=Orlicz function en-keyword=Musielak-Orlicz function kn-keyword=Musielak-Orlicz function en-keyword=n-normed spaces kn-keyword=n-normed spaces en-keyword=difference sequence spaces kn-keyword=difference sequence spaces en-keyword=K?the-Toeplitz dual kn-keyword=K?the-Toeplitz dual END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=159 end-page=166 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The number of simple modules in a block with Klein four hyperfocal subgroup en-subtitle= kn-subtitle= en-abstract= kn-abstract= A 2-block of a finite group having a Klein four hyperfocal subgroup has the same number of irreducible Brauer characters as the corresponding 2-block of the normalizer of the hyperfocal subgroup. en-copyright= kn-copyright= en-aut-name=TasakaFuminori en-aut-sei=Tasaka en-aut-mei=Fuminori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=National Institute of Technology Tsuruoka College kn-affil= en-keyword=group theory kn-keyword=group theory en-keyword=modular representation kn-keyword=modular representation en-keyword=hyperfocal subgroup kn-keyword=hyperfocal subgroup END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=167 end-page=172 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Factorization of 2 and 3 in Cyclic Quartic Fields en-subtitle= kn-subtitle= en-abstract= kn-abstract= Due to a theorem of Dedekind, factoring ideals generated by prime numbers in number fields is easily done given that said prime number does not divide the index of the field. In this paper, we determine the prime ideal factorizations of both 2 and 3 in cyclic quartic fields whose index is divisible by one of or both of these primes. en-copyright= kn-copyright= en-aut-name=BrownStephen C. en-aut-sei=Brown en-aut-mei=Stephen C. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=DavisChad T. en-aut-sei=Davis en-aut-mei=Chad T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia kn-affil= affil-num=2 en-affil=Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia kn-affil= en-keyword=Cyclic quartic field kn-keyword=Cyclic quartic field en-keyword=Prime ideal factorization kn-keyword=Prime ideal factorization END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=173 end-page=186 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the classification of ruled minimal surfaces in pseudo-Euclidean space en-subtitle= kn-subtitle= en-abstract= kn-abstract= This paper gives, in generic situations, a complete classification of ruled minimal surfaces in pseudo-Euclidean space with arbitrary index. In addition, we discuss the condition for ruled minimal surfaces to exist, and give a counter-example on the problem of Bernstein type. en-copyright= kn-copyright= en-aut-name=SatoYuichiro en-aut-sei=Sato en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences Tokyo Metropolitan University kn-affil= en-keyword=minimal surface kn-keyword=minimal surface en-keyword=ruled surface kn-keyword=ruled surface en-keyword=pseudo-Euclidean space kn-keyword=pseudo-Euclidean space END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=187 end-page=198 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Passage of property (Bw) from two operators to their tensor product en-subtitle= kn-subtitle= en-abstract= kn-abstract= A Banach space operator satisfies property (Bw) if the complement of its B-Weyl spectrum in its the spectrum is the set of finite multiplicity isolated eigenvalues of the operator. Property (Bw) does not transfer from operators T and S to their tensor product T ? S. We give necessary and /or sufficient conditions ensuring the passage of property (Bw) from T and S to T ? S. Perturbations by Riesz operators are considered. en-copyright= kn-copyright= en-aut-name=RashidM.H.M. en-aut-sei=Rashid en-aut-mei=M.H.M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics& Statistics Faculty of Science P.O.Box(7) Muftah University kn-affil= en-keyword=property (Bw) kn-keyword=property (Bw) en-keyword=SVEP kn-keyword=SVEP en-keyword=tensor product kn-keyword=tensor product END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=199 end-page=204 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Terwilliger Algebras of Some Group Association Schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract= The Terwilliger algebra plays an important role in the theory of association schemes. The present paper gives the explicit structures of the Terwilliger algebras of the group association schemes of the finite groups PSL(2, 7), A6, and S6. en-copyright= kn-copyright= en-aut-name=HamidNur en-aut-sei=Hamid en-aut-mei=Nur kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OuraManabu en-aut-sei=Oura en-aut-mei=Manabu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Faculty of Mathematics and Physics, Kanazawa University kn-affil= affil-num=2 en-affil=Faculty of Mathematics and Physics, Kanazawa University kn-affil= en-keyword=Terwilliger algebragroup association scheme kn-keyword=Terwilliger algebragroup association scheme END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=1 end-page=25 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A representation for algebraic K-theory of quasi-coherent modules over affine spectral schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract= In this paper, we study K-theory of spectral schemes by using locally free sheaves. Let us regard the K-theory as a functor K on affine spectral schemes. Then, we prove that the group completion ?BG(BGGL) represents the sheafification of K with respect to Zariski (resp. Nisnevich) topology G, where BGGL is a classifying space of a colimit of affine spectral schemes GLn. en-copyright= kn-copyright= en-aut-name=OharaMariko en-aut-sei=Ohara en-aut-mei=Mariko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences Shinshu University kn-affil= en-keyword=Infinity category kn-keyword=Infinity category en-keyword=Derived algebraic geometry kn-keyword=Derived algebraic geometry en-keyword= K-theory kn-keyword= K-theory END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=27 end-page=86 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Unstable higher Toda brackets en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OshimaHideaki en-aut-sei=Oshima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OshimaKatsumi en-aut-sei=Oshima en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Ibaraki University kn-affil= affil-num=2 en-affil= kn-affil= en-keyword=Toda bracket kn-keyword=Toda bracket en-keyword=Unstable higher Toda bracket kn-keyword=Unstable higher Toda bracket en-keyword=Higher composition kn-keyword=Higher composition en-keyword=Cofibration kn-keyword=Cofibration en-keyword=Coextension kn-keyword=Coextension en-keyword=Extension kn-keyword=Extension END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=87 end-page=178 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Crystal interpretation of a formula on the branching rule of types Bn, Cn, and Dn en-subtitle= kn-subtitle= en-abstract= kn-abstract=The branching coefficients of the tensor product of finite-dimensional irreducible Uq(g)-modules, where g is so(2n + 1, C) (Bn-type), sp(2n,C) (Cn-type), and so(2n,C) (Dn-type), are expressed in terms of Littlewood-Richardson (LR) coefficients in the stable region. We give an interpretation of this relation by Kashiwarafs crystal theory by providing an explicit surjection from the LR crystal of type Cn to the disjoint union of Cartesian product of LR crystals of An?1-type and by proving that LR crystals of types Bn and Dn are identical to the corresponding LR crystal of type Cn in the stable region. en-copyright= kn-copyright= en-aut-name=HiroshimaToya en-aut-sei=Hiroshima en-aut-mei=Toya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University kn-affil= en-keyword=Kashiwara crystals kn-keyword=Kashiwara crystals en-keyword=Littlewood-Richardson crystals kn-keyword=Littlewood-Richardson crystals en-keyword=Kashiwara-Nakashima tableaux kn-keyword=Kashiwara-Nakashima tableaux en-keyword=Branching rule kn-keyword=Branching rule END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=179 end-page=195 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space en-subtitle= kn-subtitle= en-abstract= kn-abstract= Catenoids in de Sitter 3-space S31 belong to a certain class of space-like constant mean curvature one surfaces. In a previous work, the authors classified such catenoids, and found that two different classes of countably many exceptional elliptic catenoids are not realized as closed subsets in S31 . Here we show that such exceptional catenoids have closed analytic extensions in S31 with interesting properties. en-copyright= kn-copyright= en-aut-name=FujimoriShoichi en-aut-sei=Fujimori en-aut-mei=Shoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KawakamiYu en-aut-sei=Kawakami en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KokubuMasatoshi en-aut-sei=Kokubu en-aut-mei=Masatoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=RossmanWayne en-aut-sei=Rossman en-aut-mei=Wayne kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=UmeharaMasaaki en-aut-sei=Umehara en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=YamadaKotaro en-aut-sei=Yamada en-aut-mei=Kotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= affil-num=1 en-affil=Department of Mathematics, Hiroshima University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Kanazawa University kn-affil= affil-num=3 en-affil=Department of Mathematics, School of Engineering, Tokyo Denki University kn-affil= affil-num=4 en-affil=Department of Mathematics, Faculty of Science, Kobe University kn-affil= affil-num=5 en-affil=Department of Mathematical and Computing Sciences, Tokyo Institute of Technology kn-affil= affil-num=6 en-affil=Department of Mathematics, Tokyo Institute of Technology kn-affil= en-keyword=constant mean curvature kn-keyword=constant mean curvature en-keyword=de Sitter space kn-keyword=de Sitter space en-keyword=analytic extension kn-keyword=analytic extension END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=197 end-page=210 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Existence and stability of stationary solutions to the Allen-Cahn equation discretized in space and time en-subtitle= kn-subtitle= en-abstract= kn-abstract= The existence and stability of the Allen?Cahn equation discretized in space and time are studied in a finite spatial interval. If a parameter is less than or equals to a critical value, the zero solution is the only stationary solution. If the parameter is larger than the critical value, one has a positive stationary solution and this positive stationary solution is asymptotically stable. en-copyright= kn-copyright= en-aut-name=Amy Poh Ai Ling en-aut-sei=Amy Poh Ai Ling en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TaniguchiMasaharu en-aut-sei=Taniguchi en-aut-mei=Masaharu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Division of Mathematics and Physics, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= en-keyword=Allen?Cahn equation kn-keyword=Allen?Cahn equation en-keyword=stationary solution kn-keyword=stationary solution en-keyword=comparison theorem kn-keyword=comparison theorem en-keyword=discretized kn-keyword=discretized END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=1 end-page=14 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the stability, boundedness, and square integrability of solutions of third order neutral delay differential equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, su?cient conditions are established for the stability, boundedness and square integrability of solutions for some non-linear neutral delay di?erential equations of third order. Lyapunovfs direct method is used to obtain the results. en-copyright= kn-copyright= en-aut-name=GraefJohn R. en-aut-sei=Graef en-aut-mei=John R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BeldjerdDjamila en-aut-sei=Beldjerd en-aut-mei=Djamila kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=RemiliMoussadek en-aut-sei=Remili en-aut-mei=Moussadek kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Tennessee at Chattanooga kn-affil= affil-num=2 en-affil=Oranfs High School of Electrical Engineering and Energetics kn-affil= affil-num=3 en-affil=Department of Mathematics, University of Oran 1 Ahmed Ben Bella kn-affil= en-keyword=boundedness kn-keyword=boundedness en-keyword=stability kn-keyword=stability en-keyword=square integrability kn-keyword=square integrability END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=15 end-page=52 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, the simply and pseudo isotropic geometries are the study of a three-dimensional space equipped with a rank 2 metric of index zero and one, respectively. We show that the one-parameter subgroups of isotropic rigid motions lead to seven types of invariant surfaces, which then generalizes the study of revolution and helicoidal surfaces in Euclidean and Lorentzian spaces to the context of singular metrics. After computing the two fundamental forms of these surfaces and their Gaussian and mean curvatures, we solve the corresponding problem of prescribed curvature for invariant surfaces whose generating curves lie on a plane containing the degenerated direction. en-copyright= kn-copyright= en-aut-name=da SilvaLuiz C. B. en-aut-sei=da Silva en-aut-mei=Luiz C. B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Physics of Complex Systems, Weizmann Institute of Science kn-affil= en-keyword=Simply isotropic space kn-keyword=Simply isotropic space en-keyword=pseudo-isotropic space kn-keyword=pseudo-isotropic space en-keyword=singular metric kn-keyword=singular metric en-keyword=invariant surface kn-keyword=invariant surface en-keyword=prescribed Gaussian curvature kn-keyword=prescribed Gaussian curvature en-keyword=prescribed mean curvature kn-keyword=prescribed mean curvature END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=53 end-page=60 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Remark on a Paper by Izadi and Baghalaghdam about Cubes and Fifth Powers Sums en-subtitle= kn-subtitle= en-abstract= kn-abstract= In this paper, we re?ne the method introduced by Izadi and Baghalaghdam to search integer solutions to the Diophantine equation. We show that the Diophantine equation has in?nitely many positive solutions. en-copyright= kn-copyright= en-aut-name=IokibeGaku en-aut-sei=Iokibe en-aut-mei=Gaku kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Osaka University kn-affil= en-keyword=Diophantine equations kn-keyword=Diophantine equations en-keyword=Elliptic Curves kn-keyword=Elliptic Curves END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=61 end-page=86 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Defining relations of 3-dimensional quadratic AS-regular algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=Classi?cation of AS-regular algebras is one of the main interests in non-commutative algebraic geometry. Recently, a complete list of superpotentials (de?ning relations) of all 3-dimensional AS-regular algebras which are Calabi-Yau was given by Mori-Smith (the quadratic case) and Mori-Ueyama (the cubic case), however, no complete list of de?ning relations of all 3-dimensional AS-regular algebras has not appeared in the literature. In this paper, we give all possible de?ning relations of 3-dimensional quadratic AS-regular algebras. Moreover, we classify them up to isomorphism and up to graded Morita equivalence in terms of their de?ning relations in the case that their point schemes are not elliptic curves. In the case that their point schemes are elliptic curves, we give conditions for isomorphism and graded Morita equivalence in terms of geometric data. en-copyright= kn-copyright= en-aut-name=ItabaAyako en-aut-sei=Itaba en-aut-mei=Ayako kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MatsunoMasaki en-aut-sei=Matsuno en-aut-mei=Masaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, faculty of Science, Tokyo University of Science kn-affil= affil-num=2 en-affil=Graduate School of Science and Technology, Shizuoka University kn-affil= en-keyword=AS-regular algebras kn-keyword=AS-regular algebras en-keyword=geometric algebras kn-keyword=geometric algebras en-keyword=quadratic algebras kn-keyword=quadratic algebras en-keyword=nodal cubic curves kn-keyword=nodal cubic curves en-keyword=elliptic curves kn-keyword=elliptic curves en-keyword=Hesse form kn-keyword=Hesse form en-keyword=Sklyanin algebras kn-keyword=Sklyanin algebras END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=87 end-page=105 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A weak Euler formula for l-adic Galois double zeta values en-subtitle= kn-subtitle= en-abstract= kn-abstract=The fact that the double zeta values ƒÄ(n, m) can be written in terms of zeta values, whenever n+m is odd is attributed to Euler. We shall show the weak version of this result for the l-adic Galois realization. en-copyright= kn-copyright= en-aut-name=Zdzis?awWojtkowiak en-aut-sei=Zdzis?aw en-aut-mei=Wojtkowiak kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Universit? de Nice-Sophia Antipolis, D?artement de Math ?matiques Laboratoire Jean Alexandre Dieudonn? kn-affil= en-keyword=multiple zeta values kn-keyword=multiple zeta values en-keyword=Galois groups kn-keyword=Galois groups en-keyword=fundamental groups kn-keyword=fundamental groups END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=107 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on products in stable homotopy groups of spheres via the classical Adams spectral sequence en-subtitle= kn-subtitle= en-abstract= kn-abstract=In recent years, Liu and his collaborators found many non-trivial products of generators in the homotopy groups of the sphere spectrum. In this paper, we show a result which not only implies most of their results, but also extends a result of theirs. en-copyright= kn-copyright= en-aut-name=KatoRyo en-aut-sei=Kato en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Shimomurakatsumi en-aut-sei=Shimomura en-aut-mei=katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Faculty of Fundamental Science, National Institute of Technology, Niihama College kn-affil= affil-num=2 en-affil=Department of Mathematics, faculty of Science and Technology, Kochi University kn-affil= en-keyword=Stable homotopy of spheres kn-keyword=Stable homotopy of spheres en-keyword=Adams spectral sequence kn-keyword=Adams spectral sequence en-keyword=May spectral sequence kn-keyword=May spectral sequence END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=123 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Differential operators on modular forms associated to Jacobi forms en-subtitle= kn-subtitle= en-abstract= kn-abstract=Given Jacobi forms, we determine associated Jacobi-like forms, whose coe?cients are quasimodular forms. We then use these quasimodular forms to construct di?erential operators on modular forms, which are expressed in terms of the Fourier coe?cients of the given Jacobi forms. en-copyright= kn-copyright= en-aut-name=LeeMin Ho en-aut-sei=Lee en-aut-mei=Min Ho kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Northern Iowa kn-affil= en-keyword=Jacobi forms kn-keyword=Jacobi forms en-keyword=Jacobi-like forms kn-keyword=Jacobi-like forms en-keyword=modular forms kn-keyword=modular forms en-keyword=quasimodular forms kn-keyword=quasimodular forms END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=133 end-page=151 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Rectangular Hall-Littlewood symmetric functions and a specific spin character en-subtitle= kn-subtitle= en-abstract= kn-abstract=We derive the Schur function identities coming from the tensor products of the spin representations of the symmetric group Sn. We deal with the tensor products of the basic spin representation V (n) and any spin representation V ƒÉ (ƒÉ ¸ SP (n)). The characteristic map of the tensor product ƒÄn ? ƒÄƒÉ is described by Stembridge[4] for the case of odd n. We consider the case n is even. en-copyright= kn-copyright= en-aut-name=AokageKazuya en-aut-sei=Aokage en-aut-mei=Kazuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, National Institute of Technology, Ariake College kn-affil= en-keyword=symmetric group kn-keyword=symmetric group en-keyword=symmetric function kn-keyword=symmetric function en-keyword=projective representation kn-keyword=projective representation END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=153 end-page=165 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The d-Smith sets of direct products of dihedral groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let G be a ?nite group and let V and W be real G-modules. We call V and W dim-equivalent if for each subgroup H of G, the H-?xed point sets of V and W have the same dimension. We call V and W are Smith equivalent if there is a smooth G-action on a homotopy sphere ƒ° with exactly two G-?xed points, say a and b, such that the tangential G-representations at a and b of ƒ° are respectively isomorphic to V and W . Moreover, We call V and W are d-Smith equivalent if they are dim-equivalent and Smith equivalent. The di?erences of d-Smith equivalent real G-modules make up a subset, called the d-Smith set, of the real representation ring RO(G). We call V and W P(G)-matched if they are isomorphic whenever the actions are restricted to subgroups with prime power order of G. Let N be a normal subgroup. For a subset F of G, we say that a real G-module is F-free if the H-?xed point set of the G-module is trivial for all elements H of F. We study the d-Smith set by means of the submodule of RO(G) consisting of the di?erences of dim-equivalent, P(G)-matched, {N}-free real G-modules. In particular, we give a rank formula for the submodule in order to see how the d-Smith set is large. en-copyright= kn-copyright= en-aut-name=SeitaKohei en-aut-sei=Seita en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=Real G-module kn-keyword=Real G-module en-keyword=Smith equivalence kn-keyword=Smith equivalence en-keyword=representation ring kn-keyword=representation ring en-keyword=Oliver group kn-keyword=Oliver group END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=167 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On pg-ideals en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let (A, m) be an excellent normal domain of dimension two. We de?ne an m-primary ideal I to be a pg -ideal if the Rees algebra A[It] is a Cohen-Macaulay normal domain. If A has in?nite residue ?eld then it follows from a result of Rees that the product of two pg ideals is pg . When A contains an algebraically closed ?eld k ?= A/m then Okuma, Watanabe and Yoshida proved that A has pg -ideals and furthermore product of two pg -ideals is a pg ideal. In this article we show that if A is an excellent normal domain of dimension two containing a ?eld k ?= A/m of characteristic zero then also A has pg -ideals. en-copyright= kn-copyright= en-aut-name=PuthenpurakalTony J. en-aut-sei=Puthenpurakal en-aut-mei=Tony J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, IIT Bombay kn-affil= en-keyword=pg -ideal kn-keyword=pg -ideal en-keyword=normal Rees rings kn-keyword=normal Rees rings en-keyword=Cohen-Macaulay rings kn-keyword=Cohen-Macaulay rings en-keyword=stable ideals kn-keyword=stable ideals END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=175 end-page=182 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On some families of invariant polynomials divisible by three and their zeta functions en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this note, we establish an analog of the Mallows-Sloane bound for Type III formal weight enumerators. This completes the bounds for all types (Types I through IV) in synthesis of our previous results. Next we show by using the binomial moments that there exists a family of polynomials divisible by three, which are not related to linear codes but are invariant under the MacWilliams transform for the value 3/2. We also discuss some properties of the zeta functions for such polynomials. en-copyright= kn-copyright= en-aut-name=ChinenKoji en-aut-sei=Chinen en-aut-mei=Koji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, School of Science and Engineering, Kindai University kn-affil= en-keyword=Binomial moment kn-keyword=Binomial moment en-keyword=Divisible code kn-keyword=Divisible code en-keyword=Invariant polynomial ring kn-keyword=Invariant polynomial ring en-keyword=Zeta function for codes kn-keyword=Zeta function for codes en-keyword=Riemann hypothesis kn-keyword=Riemann hypothesis END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=183 end-page=199 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On H-epimorphisms and co-H-sequences in two-sided Harada rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=In [8] M. Harada studied a left artinian ring R such that every non-small left R-module contains a non-zero injective submodule. And in [13] K. Oshiro called the ring a left Harada ring (abbreviated left H-ring). We can see many results on left Harada rings in [6] and many equivalent conditions in [4, Theorem B]. In this paper, to characterize two-sided Harada rings, we intruduce new concepts gco-H-sequenceh and gH-epimorphismh and study them. en-copyright= kn-copyright= en-aut-name=BabaYoshitomo en-aut-sei=Baba en-aut-mei=Yoshitomo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Education Osaka Kyoiku University kn-affil= en-keyword=Harada ring kn-keyword=Harada ring en-keyword=Artinian ring kn-keyword=Artinian ring END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=201 end-page=217 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Linear stability of radially symmetric equilibrium solutions to the singular limit problem of three-component activator-inhibitor model en-subtitle= kn-subtitle= en-abstract= kn-abstract=We show linear stability or instability for radially symmet-ric equilibrium solutions to the system of interface equation and two parabolic equations arising in the singular limit of three-component activator-inhibitor models. en-copyright= kn-copyright= en-aut-name=KojimaTakuya en-aut-sei=Kojima en-aut-mei=Takuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OshitaYoshihito en-aut-sei=Oshita en-aut-mei=Yoshihito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate school of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=singular limit problem kn-keyword=singular limit problem en-keyword=equilibrium solutions kn-keyword=equilibrium solutions en-keyword=linear stability kn-keyword=linear stability END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=1 article-no= start-page=1 end-page=106 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=19586 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Poincar?sche Vermutung in Topologie en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KosekiKen'iti en-aut-sei=Koseki en-aut-mei=Ken'iti kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=107 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on curvature of Finsler manifolds en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=?tsukiTominosuke en-aut-sei=?tsuki en-aut-mei=Tominosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=117 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on Galois theory of primary 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= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=125 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some remarks on homotopy equivalences and H-spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SugawaraMasahiro en-aut-sei=Sugawara en-aut-mei=Masahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=133 end-page=142 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On normal basis theorems and strictly 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= en-aut-name=OnoderaTakesi en-aut-sei=Onodera en-aut-mei=Takesi 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= affil-num=2 en-affil= kn-affil= affil-num=3 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=143 end-page=179 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Tangent bundles of order 2 and general connections en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OtsukiTominosuke en-aut-sei=Otsuki en-aut-mei=Tominosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=181 end-page=188 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On generating elements of Galois extensions of division rings IV en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakashi en-aut-sei=Nagahara en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=189 end-page=194 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Galois theory of simple rings 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=NobusawaNobuo en-aut-sei=Nobusawa en-aut-mei=Nobuo 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= affil-num=2 en-affil= kn-affil= affil-num=3 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=1 end-page=11 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Torsion Points on Ample Divisors on Abelian Varieties en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we consider torsion points on ample divisors on abelian varieties. We prove that, for each integer n ≤ 2, an effective divisor of level n on an abelian variety does not contain the subgroup of n-torsion points. Moreover, we also discuss an application of this result to the study of the p-rank of cyclic coverings of curves in positive characteristic. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= en-keyword=abelian variety kn-keyword=abelian variety en-keyword=torsion point kn-keyword=torsion point en-keyword=curve kn-keyword=curve en-keyword=p-rank kn-keyword=p-rank END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=13 end-page=29 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The d-Smith sets of Cartesian products of the alternating groups and finite elementary abelian 2-groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let G be a finite group. In 1970s, T. Petrie defined the Smith equivalence of real G-modules. The Smith set of G is the subset of the real representation ring consisting of elements obtained as differences of Smith equivalent real G-modules. Various results of the topic have been obtained. The d-Smith set of G is the set of all elements [V ]?[W] in the Smith set of G such that the H-fixed point sets of V and W have the same dimension for all subgroups H of G. The results of the Smith sets of the alternating groups and the symmetric groups are obtained by E. Laitinen, K. Pawa lowski and R. Solomon. In this paper, we give the calculation results of the d-Smith sets of the alternating groups and the symmetric groups. In addition, we give the calculation results of the d-Smith sets of Cartesian products of the alternating groups and finite elementary abelian 2-groups. en-copyright= kn-copyright= en-aut-name=SeitaKohei en-aut-sei=Seita en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=Real G-module kn-keyword=Real G-module en-keyword=Smith equivalence kn-keyword=Smith equivalence en-keyword=Oliver group kn-keyword=Oliver group en-keyword=alternating group kn-keyword=alternating group END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=31 end-page=45 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The best constant of the discrete Sobolev inequalities on the complete bipartite graph en-subtitle= kn-subtitle= en-abstract= kn-abstract=We have the best constants of three kinds of discrete Sobolev inequalities on the complete bipartite graph with 2N vertices, that is, KN,N. We introduce a discrete Laplacian A on KN,N. A is a 2N ~2N real symmetric positive-semidefinite matrix whose eigenvector corresponding to zero eigenvalue is 1 = t(1, 1, c , 1)∈ C2N. A discrete heat kernel, a Greenfs matrix and a pseudo Greenfs matrix play important roles in giving the best constants. 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= affil-num=1 en-affil=Tokyo Metropolitan College of Industrial Technology kn-affil= en-keyword=Discrete Sobolev inequality kn-keyword=Discrete Sobolev inequality en-keyword=Discrete Laplacian kn-keyword=Discrete Laplacian en-keyword=Greenfs matrix kn-keyword=Greenfs matrix en-keyword=Reproducing relation kn-keyword=Reproducing relation END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=47 end-page=61 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Weakly Separable Polynomials in skew polynomial rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=The notion of weakly separable extensions was introduced by N. Hamaguchi and A. Nakajima as a generalization of separable extensions. The purpose of this article is to give a characterization of weakly separable polynomials in skew polynomial rings. Moreover, we shall show the relation between separability and weak separability in skew polynomial rings of derivation type. 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=Department of Integrated Science and Technology National Institute of Technology, Tsuyama College kn-affil= en-keyword=separable extension kn-keyword=separable extension en-keyword=weakly separable extension kn-keyword=weakly 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=64 cd-vols= no-issue=1 article-no= start-page=63 end-page=73 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on totally odd multiple zeta values en-subtitle= kn-subtitle= en-abstract= kn-abstract=A partial answer to a conjecture about the rank of the matrix CN,r introduced by Francis Brown in the study of totally odd multiple zeta values is given. en-copyright= kn-copyright= en-aut-name=TasakaKoji en-aut-sei=Tasaka 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= en-keyword=Multiple zeta values kn-keyword=Multiple zeta values en-keyword=Period polynomials kn-keyword=Period polynomials END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=75 end-page=107 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Criteria for good reduction of hyperbolic polycurves en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give good reduction criteria for hyperbolic polycurves, i.e., successive extensions of families of curves, under some assumptions. These criteria are higher dimensional versions of the good reduction criterion for hyperbolic curves given by Oda and Tamagawa. en-copyright= kn-copyright= en-aut-name=NagamachiIppei en-aut-sei=Nagamachi en-aut-mei=Ippei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= en-keyword=good reduction, kn-keyword=good reduction, en-keyword= hyperbolic curve, kn-keyword= hyperbolic curve, en-keyword=polyucurve, kn-keyword=polyucurve, en-keyword=?tale fundamental group. kn-keyword=?tale fundamental group. END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=109 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Notes on the filtration of the K-theory for abelian p-groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let p be a prime number. For a given finite group G, let gr*γ(BG) be the associated ring of the gamma filtration of the topological K-theory for the classifying space BG. In this paper, we study gr*γ(BG) when G are abelian p-groups which are not elementary. In particular, we extend related Chetardfs results for such 2-groups to p-groups for odd p. en-copyright= kn-copyright= en-aut-name=YagitaNobuaki en-aut-sei=Yagita en-aut-mei=Nobuaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Education Ibaraki University kn-affil= en-keyword=K-theory kn-keyword=K-theory en-keyword=gamma fitration kn-keyword=gamma fitration en-keyword=abelian p-group kn-keyword=abelian p-group END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=117 end-page=141 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ƒÑ-tilting finiteness of two-point algebras I en-subtitle= kn-subtitle= en-abstract= kn-abstract=As the first attempt to classify ƒÑ-tilting finite two-point algebras, we have determined the ƒÑ-tilting finiteness for minimal wild two-point algebras and some tame two-point algebras. en-copyright= kn-copyright= en-aut-name=WangQi en-aut-sei=Wang en-aut-mei=Qi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University kn-affil= en-keyword=Support ƒÑ-tilting modules kn-keyword=Support ƒÑ-tilting modules en-keyword=ƒÑ-tilting finite kn-keyword=ƒÑ-tilting finite en-keyword=two-point algebras kn-keyword=two-point algebras END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=143 end-page=151 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Quantum Sylvester-Franke Theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract=A quantum version of classical Sylvester-Franke theorem is presented. After reviewing some representation theory of the quantum group GLq (n, C), the commutation relations of the matrix elements are verified. Once quantum determinant of the representation matrix is defined, the theorem follows naturally en-copyright= kn-copyright= en-aut-name=AokageKazuya en-aut-sei=Aokage en-aut-mei=Kazuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TabataSumitaka en-aut-sei=Tabata en-aut-mei=Sumitaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YamadaHiro-Fumi en-aut-sei=Yamada en-aut-mei=Hiro-Fumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Mathematics, National Institute of Technology, Ariake College kn-affil= affil-num=2 en-affil=Department of Mathematics, Kumamoto University kn-affil= affil-num=3 en-affil=Department of Mathematics, Kumamoto University kn-affil= en-keyword=Quantum general linear group kn-keyword=Quantum general linear group en-keyword=Sylvester-Franke theorem kn-keyword=Sylvester-Franke theorem END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=153 end-page=186 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Bijective proofs of the identities on the values of inner products of the Macdonald polynomials en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this article, we introduce some identities obtained from the inner products of some symmetric polynomials including the Macdonald polynomials. These identities are obtained not only from the inner products, but also by constructing certain bijections. The bijections are constructed through transforming the Young diagrams of partitions. en-copyright= kn-copyright= en-aut-name=NishiyamaYuta en-aut-sei=Nishiyama en-aut-mei=Yuta kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Science and Technology, Kumamoto University kn-affil= en-keyword=Macdonald polynomials kn-keyword=Macdonald polynomials en-keyword=Young diagram kn-keyword=Young diagram en-keyword=bijective proof kn-keyword=bijective proof END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=187 end-page=190 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Symbolic powers of monomial ideals en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let K be a field and consider the standard grading on A = K[X1, ... ,Xd]. Let I, J be monomial ideals in A. Let In(J) = (In : J) be the nth symbolic power of I with respect to J. It is easy to see that the function fI J (n) = e0(In(J)/In) is of quasi-polynomial type, say of period g and degree c. For n â 0 say

fIJ (n) = ac(n)nc + ac?1(n)nc?1 + lower terms,

where for i = 0, ... , c, ai : N ¨ Q are periodic functions of period g and ac ≠0. In [4, 2.4] we (together with Herzog and Verma) proved that dim In(J)/In is constant for n â 0 and ac(?) is a constant. In this paper we prove that if I is generated by some elements of the same degree and height I ? 2 then ac?1(?) is also a constant. 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= kn-affil= en-keyword=quasi-polynomials kn-keyword=quasi-polynomials en-keyword=monomial ideals kn-keyword=monomial ideals en-keyword=symbolic powers kn-keyword=symbolic powers END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=191 end-page=213 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Hook Formulas for Cylindric Skew Diagrams en-subtitle= kn-subtitle= en-abstract= kn-abstract=We present a conjectural hook formula concerning the number of the standard tableaux on "cylindric" skew diagrams. Our formula can be seen as an extension of Naruse's hook formula for skew diagrams. Moreover, we prove our conjecture in some special cases. en-copyright= kn-copyright= en-aut-name=SuzukiTakeshi en-aut-sei=Suzuki en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ToyosawaYoshitaka en-aut-sei=Toyosawa en-aut-mei=Yoshitaka 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, Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=215 end-page=225 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on a Hecke ring associated with the Heisenberg Lie algebra en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper focuses on the theory of the Hecke rings associated with the general linear groups originally studied by Hecke and Shimura et al., and moreover generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory. en-copyright= kn-copyright= en-aut-name=HyodoFumitake en-aut-sei=Hyodo en-aut-mei=Fumitake kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Health Informatics Faculty of Health and Welfare Services Administration Kawasaki University of Medical Welfare kn-affil= en-keyword=Hecke rings kn-keyword=Hecke rings en-keyword=noncommutative rings kn-keyword=noncommutative rings END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=1 end-page=22 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A characterization of the class of Harada rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=There are many characterizations of Harada rings. In this paper, we characterize right co-Harada rings by giving a characterization of the class of basic right co-Harada rings. en-copyright= kn-copyright= en-aut-name=KoikeKazutoshi en-aut-sei=Koike en-aut-mei=Kazutoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=National Institute of Technology, Okinawa College kn-affil= en-keyword=Harada rings kn-keyword=Harada rings en-keyword=QF rings kn-keyword=QF rings END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=23 end-page=34 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=E(2)-local Picard graded beta elements at the prime three en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let E(2) be the second Johnson-Wilson spectrum at the prime 3. In this paper, we show that some beta elements exist in the homotopy groups of the E(2)-localized sphere spectrum with a grading over the Picard group of the stable homotopy category of E(2)-local spectra. en-copyright= kn-copyright= en-aut-name=KatoRyo en-aut-sei=Kato en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Faculty of Fundamental Science National Institute of Technology, Niihama college kn-affil= en-keyword=Stable homotopy of spheres kn-keyword=Stable homotopy of spheres en-keyword=Picard group kn-keyword=Picard group END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=35 end-page=81 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations en-subtitle= kn-subtitle= en-abstract= kn-abstract=We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realization of them as (twisted) loop groups by means of Galois descent considerations. As a consequence, we show that the affine Kac-Moody group of type X(r) N is isomorphic to the fixed-point subgroup of the affine Kac-Moody group of type X(1) N under an action of the Galois group. en-copyright= kn-copyright= en-aut-name=MoritaJun en-aut-sei=Morita en-aut-mei=Jun kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=PianzolaArturo en-aut-sei=Pianzola en-aut-mei=Arturo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=ShibataTaiki en-aut-sei=Shibata en-aut-mei=Taiki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Institute of Mathematics, University of Tsukuba kn-affil= affil-num=2 en-affil=Department of Mathematical and Statistical Sciences, University of Alberta kn-affil= affil-num=3 en-affil=Department of Applied Mathematics, Okayama University of Science kn-affil= en-keyword=Affine Kac-Moody groups kn-keyword=Affine Kac-Moody groups en-keyword=Loop groups kn-keyword=Loop groups en-keyword=Twisted Chevalley groups kn-keyword=Twisted Chevalley groups END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=83 end-page=96 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Non-Modular Solution of the Kaneko-Zagier Equations with respect to Fricke Groups of Low Levels en-subtitle= kn-subtitle= en-abstract= kn-abstract=Pavel Guerzhoy show that the Kaneko-Zagier equation for SL2(Z) has mixed mock mock modular solutions in certain weights. In this paper, we show that the Kaneko-Zagier equations for the Fricke groups of level 2 and 3 also have mixed mock modular solutions in certain weights. en-copyright= kn-copyright= en-aut-name=KinjoToshiteru en-aut-sei=Kinjo en-aut-mei=Toshiteru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Mathematics, Kyushu University kn-affil= en-keyword=mixed mock modular forms kn-keyword=mixed mock modular forms en-keyword=weak harmonic Maass forms kn-keyword=weak harmonic Maass forms en-keyword=Kaneko-Zagier equation kn-keyword=Kaneko-Zagier equation END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=97 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An improvement of the integrability of the state space of the ƒ³43-process and the support of the ƒ³43-measure constructed by the limit of stationary processes of approximating stochastic quantization equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=This is a remark paper for the ƒ³43 -measure and the associated flow on the torus which are constructed in [1] by the limit of the stationary processes of the stochastic quantization equations of approximation measures. We improve the integrability of the state space of the ƒ³43 -process and the support of the ƒ³43 -measure. For the improvement, we improve the estimates of the Hölder continuity in time of the solutions to approximation equations. In the present paper, we only discuss the estimates different from those in [1]. en-copyright= kn-copyright= en-aut-name=KusuokaSeiichiro en-aut-sei=Kusuoka en-aut-mei=Seiichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Kyoto University kn-affil= en-keyword=stochastic quantization kn-keyword=stochastic quantization en-keyword= quantum field theory kn-keyword= quantum field theory en-keyword=singular SPDE kn-keyword=singular SPDE END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=117 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Fields Generated by Jacobi Sums en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study fields generated by Jacobi sums. In particular, we completely determine the field obtained by adjoining, to the field of rational numbers, all of the Jacobi sums gof two variablesh with respect to a fixed maximal ideal of the ring of integers of a fixed prime-power cyclotomic field. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= en-keyword=Jacobi sum kn-keyword=Jacobi sum END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=125 end-page=143 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Traveling front solutions for perturbed reaction-diffusion equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=Traveling front solutions have been studied for reaction-diffusion equations with various kinds of nonlinear terms. One of the interesting subjects is the existence and non-existence of them. In this paper, we prove that, if a traveling front solution exists for a reaction-diffusion equation with a nonlinear term, it also exists for a reaction-diffusion equation with a perturbed nonlinear term. In other words, a traveling front is robust under perturbation on a nonlinear term. en-copyright= kn-copyright= en-aut-name=WahWah en-aut-sei=Wah en-aut-mei=Wah kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TANIGUCHIMasaharu en-aut-sei=TANIGUCHI en-aut-mei=Masaharu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=2 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= en-keyword=traveling front kn-keyword=traveling front en-keyword=existence kn-keyword=existence en-keyword=perturbation kn-keyword=perturbation en-keyword=reaction-diffusion equation kn-keyword=reaction-diffusion equation END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=145 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Positivity and Hierarchical Structure of four Green Functions Corresponding to a Bending Problem of a Beam on a half line en-subtitle= kn-subtitle= en-abstract= kn-abstract=We consider the boundary value problem for fourth order linear ordinary differential equation in a half line (0,‡), which represents bending of a beam on an elastic foundation under a tension. A tension is relatively stronger than a spring constant of elastic foundation. We here treat four self-adjoint boundary conditions, clamped, Dirichlet, Neumann and free edges, at x = 0. We show the positivity and the hierarchical structure of four Green functions. en-copyright= kn-copyright= en-aut-name=KametakaYoshinori en-aut-sei=Kametaka en-aut-mei=Yoshinori 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=NagaiAtsushi en-aut-sei=Nagai en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=TakemuraKazuo en-aut-sei=Takemura en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=YamagishiHiroyuki en-aut-sei=Yamagishi en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= affil-num=1 en-affil=Faculty of Engineering Science, Osaka University kn-affil= affil-num=2 en-affil=Department of Computer Science, National Defense Academy kn-affil= affil-num=3 en-affil=Department of Computer Sciences, College of Liberal Arts, Tsuda University kn-affil= affil-num=4 en-affil=College of Science and Technology, Nihon University kn-affil= affil-num=5 en-affil=Tokyo Metropolitan College of Industrial Technology kn-affil= en-keyword=Green function kn-keyword=Green function en-keyword=boundary value problem kn-keyword=boundary value problem en-keyword=positivity kn-keyword=positivity en-keyword=hierarchical structure kn-keyword=hierarchical structure END start-ver=1.4 cd-journal=joma no-vol=10 cd-vols= no-issue=2 article-no= start-page=101 end-page=112 dt-received= dt-revised= dt-accepted= dt-pub-year=1961 dt-pub=196103 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Hilbert geometry en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NasuYasuo en-aut-sei=Nasu en-aut-mei=Yasuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=10 cd-vols= no-issue=2 article-no= start-page=113 end-page=124 dt-received= dt-revised= dt-accepted= dt-pub-year=1961 dt-pub=196103 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On general connections II 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=Tokyo Institute Of Technology END start-ver=1.4 cd-journal=joma no-vol=10 cd-vols= no-issue=2 article-no= start-page=125 end-page=142 dt-received= dt-revised= dt-accepted= dt-pub-year=1961 dt-pub=196103 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=?ber die Koeffizienten der schlichten Funktionen (II) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KosekiKen'iti en-aut-sei=Koseki en-aut-mei=Ken'iti 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=10 cd-vols= no-issue=2 article-no= start-page=87 end-page=99 dt-received= dt-revised= dt-accepted= dt-pub-year=1961 dt-pub=196103 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=?ber die p-wertigen Funktionen en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KosekiKen'iti en-aut-sei=Koseki en-aut-mei=Ken'iti 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=10 cd-vols= no-issue=2 article-no= start-page=143 end-page=166 dt-received= dt-revised= dt-accepted= dt-pub-year=1961 dt-pub=196103 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Galois and locally Galois extensions of simple rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakashi en-aut-sei=Nagahara en-aut-mei=Takashi 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=Hokkaido University END start-ver=1.4 cd-journal=joma no-vol=10 cd-vols= no-issue=1 article-no= start-page=75 end-page=85 dt-received= dt-revised= dt-accepted= dt-pub-year=1960 dt-pub=196010 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On conformal collineations en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TashiroYoshihiro en-aut-sei=Tashiro en-aut-mei=Yoshihiro 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=10 cd-vols= no-issue=1 article-no= start-page=11 end-page=17 dt-received= dt-revised= dt-accepted= dt-pub-year=1960 dt-pub=196010 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On generating elements of Galois extensions of division rings V 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=10 cd-vols= no-issue=1 article-no= start-page=19 end-page=60 dt-received= dt-revised= dt-accepted= dt-pub-year=1960 dt-pub=196010 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Spectral theory of operator algebras II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TomitaMinoru en-aut-sei=Tomita en-aut-mei=Minoru 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=10 cd-vols= no-issue=1 article-no= start-page=61 end-page=66 dt-received= dt-revised= dt-accepted= dt-pub-year=1960 dt-pub=196010 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On some properties of group characters II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OsimaMasaru en-aut-sei=Osima en-aut-mei=Masaru 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=10 cd-vols= no-issue=1 article-no= start-page=1 end-page=9 dt-received= dt-revised= dt-accepted= dt-pub-year=1960 dt-pub=196010 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Beitr?ge zur Theorie der schlichten Funktionen en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KosekiKen'iti en-aut-sei=Koseki en-aut-mei=Ken'iti 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=10 cd-vols= no-issue=1 article-no= start-page=67 end-page=73 dt-received= dt-revised= dt-accepted= dt-pub-year=1960 dt-pub=196010 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Galois theory of division rings III en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NobusawaNobuo en-aut-sei=Nobusawa en-aut-mei=Nobuo 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=Osaka University affil-num=2 en-affil= kn-affil=Hokkaido University END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=155 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Self Maps of Suspension of Sphere Bundles over Spheres en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TakahashiHideo en-aut-sei=Takahashi 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=Nagaoka University of Technology END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=83 end-page=91 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Anti-Intergral Elements and Coefficients of their Minimal Polynomials en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OdaSusumu en-aut-sei=Oda en-aut-mei=Susumu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YoshidaKen-ichi en-aut-sei=Yoshida en-aut-mei=Ken-ichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Matsusaka Commercial High School affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=93 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Theta Functions, II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TasakaTakashi en-aut-sei=Tasaka en-aut-mei=Takashi 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=38 cd-vols= no-issue=1 article-no= start-page=197 end-page=208 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Hopf Maps and Triality en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=RigasA. en-aut-sei=Rigas en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ChavesLucas M. en-aut-sei=Chaves en-aut-mei=Lucas M. 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=Universidade Federal de Lavras END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=145 end-page=154 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Multiplicative Elements in Morava K-Theory of BZ/p en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KordzayaK. en-aut-sei=Kordzaya en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kyoto University END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=13 end-page=24 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Differential Submodules of Modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FuruyaMamoru en-aut-sei=Furuya en-aut-mei=Mamoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NiitsumaHiroshi en-aut-sei=Niitsuma en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Meijo University affil-num=2 en-affil= kn-affil=Science University of Tokyo END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=115 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Values of Cyclotomic Polynomials. III en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MotoseKaoru en-aut-sei=Motose en-aut-mei=Kaoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Hirosaki University END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=25 end-page=46 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Orthogonality in the Category of Complexes en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=EnochsEdger E. en-aut-sei=Enochs en-aut-mei=Edger E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=JendaOvertoun M. G. en-aut-sei=Jenda en-aut-mei=Overtoun M. G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=XuJinzhong en-aut-sei=Xu en-aut-mei=Jinzhong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=University of Kentucky affil-num=2 en-affil= kn-affil=Auburn University affil-num=3 en-affil= kn-affil=University of Kentucky END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=47 end-page=51 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Weakly Henselian Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MckenzieThomas en-aut-sei=Mckenzie en-aut-mei=Thomas kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Bradley University END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=159 end-page=196 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on Homotopy Classes of Self Maps; [ƒ°HP?, ƒ°HP?] en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TakahashiHideo en-aut-sei=Takahashi 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=Nagaoka University of Technology END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=1 end-page=11 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Property Special (DF) for Unit-Regular Rings 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= affil-num=1 en-affil= kn-affil=Yamaguchi University END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=123 end-page=143 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Panes, Nets, and Codes en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= affil-num=1 en-affil= kn-affil=University of Scranton END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=109 end-page=114 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Remark on Torsion-Free Subgroups in Group Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FurukawaT?ru en-aut-sei=Furukawa en-aut-mei=T?ru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Sanyo Gakuen University END start-ver=1.4 cd-journal=joma no-vol=38 cd-vols= no-issue=1 article-no= start-page=53 end-page=82 dt-received= dt-revised= dt-accepted= dt-pub-year=1996 dt-pub=199601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Infinite Galois Theory of Semisimple Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TanabeKazuyuki en-aut-sei=Tanabe en-aut-mei=Kazuyuki 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=49 cd-vols= no-issue=1 article-no= start-page=183 end-page=184 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Elliptic Curves y?=x?-px of Rank Two en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=SpearmanBlair K. en-aut-sei=Spearman en-aut-mei=Blair K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of British Columbia Okanagan en-keyword=Elliptic curve kn-keyword=Elliptic curve en-keyword=rank kn-keyword=rank END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=93 end-page=111 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Evaluation of the Convolution Sums ‡” l+24m=n ƒÐ(l) ƒÐ(m) and ‡”3l+8m=n ƒÐ(l) ƒÐ(m) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AlacaAyse en-aut-sei=Alaca en-aut-mei=Ayse kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AlacaSaban en-aut-sei=Alaca en-aut-mei=Saban kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=WilliamsKenneth S. en-aut-sei=Williams en-aut-mei=Kenneth S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Carleton University affil-num=2 en-affil= kn-affil=Carleton University affil-num=3 en-affil= kn-affil=Carleton University en-keyword=sum of divisors function kn-keyword=sum of divisors function en-keyword=convolution sums kn-keyword=convolution sums en-keyword=Eisenstein series kn-keyword=Eisenstein series END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=113 end-page=138 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Galois Covers of Degree p and Semi-stable Reduction of Curves in Equal Characteristic p>0 en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=Sa?diMohamed en-aut-sei=Sa?di en-aut-mei=Mohamed kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Exeter END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=197 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Characterization of ƒÂ-quasi-Baer Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

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

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

en-copyright= kn-copyright= en-aut-name=BagioDirceu en-aut-sei=Bagio en-aut-mei=Dirceu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=PaquesAntonio en-aut-sei=Paques en-aut-mei=Antonio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universidade Federal de Santa Maria affil-num=2 en-affil= kn-affil=Universidade Federal do Rio Grande do Sul en-keyword=primitive element kn-keyword=primitive element en-keyword=von Neumann regular ring kn-keyword=von Neumann regular ring en-keyword=locally uniform ring kn-keyword=locally uniform ring en-keyword=strongly separable extension kn-keyword=strongly separable extension en-keyword=separable closure kn-keyword=separable closure END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=37 end-page=52 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Sums and Partial Sums of Double Power Series associated with the Generalized Zeta Function and Their N-fractional CalculusSums and Partial Sums of Double Power Series associated with the Generalized Zeta Function and Their N-fractional Calculus en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=Bin-SaadMaged G. en-aut-sei=Bin-Saad en-aut-mei=Maged G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Aden University END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=149 end-page=161 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Higher Weights of Codes from Projective Planes and Biplanes en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

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

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

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

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

en-copyright= kn-copyright= en-aut-name=G?venEvrim en-aut-sei=G?ven en-aut-mei=Evrim kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KayaKazim en-aut-sei=Kaya en-aut-mei=Kazim kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=Soyt?rkMuharrem en-aut-sei=Soyt?rk en-aut-mei=Muharrem kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Kocaeli University affil-num=2 en-affil= kn-affil=?anakkale Onsekiz Mart University affil-num=3 en-affil= kn-affil=Kocaeli University en-keyword=Prime ring kn-keyword=Prime ring en-keyword= (sigma kn-keyword= (sigma en-keyword=tau)-LIe ideal kn-keyword=tau)-LIe ideal en-keyword= (sigma kn-keyword= (sigma en-keyword=tau)-derivation kn-keyword=tau)-derivation END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=185 end-page=196 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Questions on the Ideal Class Group of Imaginary Abelian Fields en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=ItohTsuyoshi en-aut-sei=Itoh en-aut-mei=Tsuyoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Ritsumeikan University en-keyword=Ideal class group kn-keyword=Ideal class group END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=1 end-page=36 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Character Values and Dade's Conjecture en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NarasakiRyo en-aut-sei=Narasaki en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka University END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=163 end-page=169 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Privalov Space on the Upper Half Plane en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

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

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

en-copyright= kn-copyright= en-aut-name=BellHoward E. en-aut-sei=Bell en-aut-mei=Howard E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=RehmanNadeem-ur en-aut-sei=Rehman en-aut-mei=Nadeem-ur kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Brock University affil-num=2 en-affil= kn-affil=Aligarh Muslim University END start-ver=1.4 cd-journal=joma no-vol=49 cd-vols= no-issue=1 article-no= start-page=65 end-page=92 dt-received= dt-revised= dt-accepted= dt-pub-year=2007 dt-pub=200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cut Loci and Distance Functions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ItohJin-ichi en-aut-sei=Itoh en-aut-mei=Jin-ichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SakaiTakashi en-aut-sei=Sakai en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Kumamoto University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=44 cd-vols= no-issue=1 article-no= start-page=143 end-page=154 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Representation of Ring Homomorphisms on Unital Regular Commutative Banach Algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We give a complete representation of a ring homomorphism from a unital semisimple regular commutative Banach algebra into a unital semisimple commutative Banach algebra, which need not be regular. As a corollary we give a sufficient condition in order that a ring homomorphism is automatically linear or conjugate linear.

en-copyright= kn-copyright= en-aut-name=MiuraTakeshi en-aut-sei=Miura en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Yamagata University en-keyword=commutative Banach algebras kn-keyword=commutative Banach algebras en-keyword= ring homomorphisms. kn-keyword= ring homomorphisms. END start-ver=1.4 cd-journal=joma no-vol=44 cd-vols= no-issue=1 article-no= start-page=51 end-page=56 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Nilpotency Index of the Radical of a Group Algebra. XI en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MotoseKaoru en-aut-sei=Motose en-aut-mei=Kaoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Hirosaki University END start-ver=1.4 cd-journal=joma no-vol=44 cd-vols= no-issue=1 article-no= start-page=57 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Hopf Algebra Structure of Morava K-Theory of the Exceptional Lie Groups, II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NishimotoTetsu en-aut-sei=Nishimoto en-aut-mei=Tetsu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kinki Welfare University en-keyword=Morava K-theory kn-keyword=Morava K-theory en-keyword=exceptional Lie groups kn-keyword=exceptional Lie groups en-keyword= Hopf algebras. kn-keyword= Hopf algebras. END start-ver=1.4 cd-journal=joma no-vol=44 cd-vols= no-issue=1 article-no= start-page=131 end-page=136 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on the Relation between S-reducibility, S-coreducibility and Stable Homotopy Types of Some Stunted Lens Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KotaniYasusuke en-aut-sei=Kotani en-aut-mei=Yasusuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University en-keyword=mod q stunted lens space kn-keyword=mod q stunted lens space en-keyword=stable homotopy type kn-keyword=stable homotopy type en-keyword=S-reducible kn-keyword=S-reducible en-keyword=S-coreducible kn-keyword=S-coreducible en-keyword= S-dual. kn-keyword= S-dual. END start-ver=1.4 cd-journal=joma no-vol=44 cd-vols= no-issue=1 article-no= start-page=37 end-page=42 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Ladder Index of Groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IshikawaKazuhiro en-aut-sei=Ishikawa en-aut-mei=Kazuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TanakaHiroshi en-aut-sei=Tanaka en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TanakaKatsumi en-aut-sei=Tanaka en-aut-mei=Katsumi 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 END start-ver=1.4 cd-journal=joma no-vol=44 cd-vols= no-issue=1 article-no= start-page=43 end-page=50 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Commutativity of Rings with Generalized Derivations en-subtitle= kn-subtitle= en-abstract= kn-abstract=

The concept of derivations as well as of generalized inner derivations have been generalized as an additive function F : R → R satisfying F(xy) = F(x)y + xd(y) for all x, y ∈ R, where d is a derivation on R, such a function F is said to be a generalized derivation. In the present paper we have discussed the commutativity of prime rings admitting a generalized derivation F satisfying (i) [F(x), x] = 0, (ii) F([x, y]) = [x, y], and (iii) F(x ◦ y) = x ◦ y for all x, y in some appropriate subset of R.

en-copyright= kn-copyright= en-aut-name=RehmanNadeem ur en-aut-sei=Rehman en-aut-mei=Nadeem ur kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University Kaiserslautern en-keyword=prime rings kn-keyword=prime rings en-keyword=generalized derivations kn-keyword=generalized derivations en-keyword=derivations kn-keyword=derivations en-keyword=ideals kn-keyword=ideals en-keyword= Lie ideals and commutativity. kn-keyword= Lie ideals and commutativity. END start-ver=1.4 cd-journal=joma no-vol=44 cd-vols= no-issue=1 article-no= start-page=123 end-page=130 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Group ƒÎ(ƒ°A ~ B, X) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SasaoSeiya en-aut-sei=Sasao en-aut-mei=Seiya 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=44 cd-vols= no-issue=1 article-no= start-page=1 end-page=28 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Decomposition of Spinor Groups by the Involution ƒÐŒ in Exceptional Lie Groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MiyashitaToshikazu en-aut-sei=Miyashita en-aut-mei=Toshikazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tohbu High School END start-ver=1.4 cd-journal=joma no-vol=44 cd-vols= no-issue=1 article-no= start-page=155 end-page=170 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Semigroups of Locally Lipschitz Operators en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KobayashiYoshikazu en-aut-sei=Kobayashi en-aut-mei=Yoshikazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TanakaNaoki en-aut-sei=Tanaka en-aut-mei=Naoki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Niigata University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=44 cd-vols= no-issue=1 article-no= start-page=171 end-page=179 dt-received= dt-revised= dt-accepted= dt-pub-year=2002 dt-pub=200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Geometry on Grassmann Manifolds G(2,8) and G(3,8) en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper, we use the Clifford algebra Cℓ8 to construct fibre bundles ?1 : G(2; 8) → S6, ?'1 : G(2; 7) → S6 and ?2 : G(3; 8) → S7, the fibres are CP3, CP2 and ASSOC = G2=SO(4) respectively. We show that G(2; 5), CP3 and S6 are the homologically volume minimizing submanifolds of G(2; 8) by calibrations and they generate the homology group H6(G(2; 8)). The submanifolds S7 and ASSOC of G(3; 8) generate H7(G(3; 8)) and H8(G(3; 8)) respectively.

en-copyright= kn-copyright= en-aut-name=JianweiZhou en-aut-sei=Jianwei en-aut-mei=Zhou kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HuiHuang en-aut-sei=Hui en-aut-mei=Huang kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Suzhou University affil-num=2 en-affil= kn-affil=Nanjing Artillery Academy P. L. A. en-keyword=Grassmann manifold kn-keyword=Grassmann manifold en-keyword=Riemann connection kn-keyword=Riemann connection en-keyword=Clifford algebra kn-keyword=Clifford algebra en-keyword=fibre bundle kn-keyword=fibre bundle en-keyword= calibration. kn-keyword= calibration. END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=127 end-page=133 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Inverse Limits of Spaces with the Weak B-Property en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=BinZhao en-aut-sei=Bin en-aut-mei=Zhao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kashgar Teachers College en-keyword=inverse system kn-keyword=inverse system en-keyword=inverse limit space kn-keyword=inverse limit space en-keyword=weak B-property kn-keyword=weak B-property en-keyword=hereditarily weak B-property kn-keyword=hereditarily weak B-property END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=135 end-page=147 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Fine Spectra of the Ces?ro Operator C 1 over the Sequence Space bvp, (1 ≤ p ∞) en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=AkhmedovAli M. en-aut-sei=Akhmedov en-aut-mei=Ali M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BasarFeyzi en-aut-sei=Basar en-aut-mei=Feyzi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Baku State University affil-num=2 en-affil= kn-affil=Inonu University en-keyword=Spectrum of an operator kn-keyword=Spectrum of an operator en-keyword=Cesaro operator and the sequence space bvp kn-keyword=Cesaro operator and the sequence space bvp END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=201 end-page=203 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Lower Bound for the Rational LS-category of a Coformal Elliptic Space en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=YamaguchiToshihiro en-aut-sei=Yamaguchi en-aut-mei=Toshihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kochi University en-keyword=rational LS-category kn-keyword=rational LS-category en-keyword=elliptic space kn-keyword=elliptic space en-keyword=coformal space kn-keyword=coformal space en-keyword=minimal model kn-keyword=minimal model en-keyword=Toomer invariant kn-keyword=Toomer invariant END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=63 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Central Gap Numbers of Symmetric Groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=KikyoHirotaka en-aut-sei=Kikyo en-aut-mei=Hirotaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kobe University en-keyword=central gap number kn-keyword=central gap number en-keyword=symmetric group kn-keyword=symmetric group en-keyword=alternating group kn-keyword=alternating group END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=161 end-page=176 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Fox Spaces and Jacobi Identities en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

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

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

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

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

en-copyright= kn-copyright= en-aut-name=DeUday Chand en-aut-sei=De en-aut-mei=Uday Chand kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=GaziAboul Kalam en-aut-sei=Gazi en-aut-mei=Aboul Kalam kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Mathematics University affil-num=2 en-affil= kn-affil=Mathematics University en-keyword=N(k)-contact metric manifolds kn-keyword=N(k)-contact metric manifolds en-keyword=eta-Einstein manifold kn-keyword=eta-Einstein manifold en-keyword=Phi-recurrent N(k)-contact metric manifolds kn-keyword=Phi-recurrent N(k)-contact metric manifolds END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=1 end-page=61 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A New Class of Quasicyclic Complex Vector Functional Equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=RisteskiIce B. en-aut-sei=Risteski en-aut-mei=Ice B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=Quasicyclic complex vector functional equation kn-keyword=Quasicyclic complex vector functional equation END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=177 end-page=199 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=K-semimetrizabilities and C-stratifiabilities of Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YoshiokaIwao en-aut-sei=Yoshioka en-aut-mei=Iwao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=149 end-page=160 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Unit Groups of Completely Primary Finite Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=ChikunjiChiteng'a John en-aut-sei=Chikunji en-aut-mei=Chiteng'a John kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Botswana College en-keyword=unit groups kn-keyword=unit groups en-keyword=completely primary finite rings kn-keyword=completely primary finite rings en-keyword=galois rings kn-keyword=galois rings END start-ver=1.4 cd-journal=joma no-vol=50 cd-vols= no-issue=1 article-no= start-page=113 end-page=125 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Strong Convergence Theorems for Nonexpansive Mappings by Viscosity Approximation Methods in Banach Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=QinXiaolong en-aut-sei=Qin en-aut-mei=Xiaolong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SuYongfu en-aut-sei=Su en-aut-mei=Yongfu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=WuChangqun en-aut-sei=Wu en-aut-mei=Changqun kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Tianjin Polytechnic University affil-num=2 en-affil= kn-affil=Tianjin Polytechnic University affil-num=3 en-affil= kn-affil=Henan University en-keyword=Nonexpansive map; Iteration scheme; Sunny and nonexpansive retraction; viscosity method kn-keyword=Nonexpansive map; Iteration scheme; Sunny and nonexpansive retraction; viscosity method END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=225 end-page=232 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Examples of Benford Sequences en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=GotoKazuo en-aut-sei=Goto 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=Sakuyo Junior College END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=135 end-page=144 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Derivations in Near-rings and 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=MasonGordon en-aut-sei=Mason en-aut-mei=Gordon 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=University Of New Brunswick END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=241 end-page=248 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Curvature Forms and Einstein-like Metrics on Sasakian Manifolds en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AbbenaElsa en-aut-sei=Abbena en-aut-mei=Elsa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=GarbieroSergio en-aut-sei=Garbiero en-aut-mei=Sergio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universit? Di Torino affil-num=2 en-affil= kn-affil=Universit? Di Torino END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=67 end-page=73 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Degree Equations for p-blocks of Finite Group, II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IkedaKazuoki en-aut-sei=Ikeda en-aut-mei=Kazuoki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kyushu Sangyo University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=75 end-page=98 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Generalized Tilting Modules and Applications to Module Theory en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MiyashitaYoichi en-aut-sei=Miyashita en-aut-mei=Yoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University Of Tsukuba END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=149 end-page=151 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Subrings Containing Ideals en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FeigelstockShalom en-aut-sei=Feigelstock en-aut-mei=Shalom kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Bar-Ilan University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=233 end-page=240 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Real Hypersurfaces in Pn(C) with Constant Principal Curvatures en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KiU-Hang en-aut-sei=Ki en-aut-mei=U-Hang kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TakagiRyoichi en-aut-sei=Takagi en-aut-mei=Ryoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Kyungpook University affil-num=2 en-affil= kn-affil=Chiba University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=131 end-page=134 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Commutativity of a Certain Class of 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=NishinakaTsunekazu en-aut-sei=Nishinaka en-aut-mei=Tsunekazu 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=34 cd-vols= no-issue=1 article-no= start-page=217 end-page=223 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Uncoutably Many Infinite Loop Spaces of the Same N-type for all N en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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= kn-affil=Meiji University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=165 end-page=174 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Characterizations of Right co-H-rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HuynhDinh Van en-aut-sei=Huynh en-aut-mei=Dinh Van kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=DanPhan en-aut-sei=Dan en-aut-mei=Phan 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= END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=153 end-page=156 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ƒÎ-regular Rings Satisfying the Converse of Schur's Lemma en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KimChol On en-aut-sei=Kim en-aut-mei=Chol On kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HuhChan en-aut-sei=Huh en-aut-mei=Chan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Pusan National University affil-num=2 en-affil= kn-affil=Pusan National University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=13 end-page=20 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Primitive Elements for Cyclic p^n -extensions of Commutative Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AramovaAnnetta G. en-aut-sei=Aramova en-aut-mei=Annetta G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=115 end-page=124 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Prime Ideals in Strongly Graded Rings by Polycyclic-by-finite Groups II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MarubayashiHidetoshi en-aut-sei=Marubayashi en-aut-mei=Hidetoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MiyamotoHaruo en-aut-sei=Miyamoto en-aut-mei=Haruo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Naruto University affil-num=2 en-affil= kn-affil=Tokushima University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=249 end-page=257 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Pseudo-riemannian Submanifolds with Pointwise Planar Normal Sections en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KimYoung Ho en-aut-sei=Kim en-aut-mei=Young Ho kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Teachers College END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=21 end-page=47 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Finite Posets P and P-galois Extensions of 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= affil-num=1 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=49 end-page=55 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On H-separable Polynomials in Skew Polynomial Rings of Automorphism Type en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IkehataShoichi en-aut-sei=Ikehata en-aut-mei=Shoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SzetoGeorge en-aut-sei=Szeto en-aut-mei=George 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=Bradley University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=205 end-page=216 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Degrees of Self-maps en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SasaoAkira en-aut-sei=Sasao en-aut-mei=Akira kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Waseda University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=145 end-page=147 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Jordan Left Derivations en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=DengQing en-aut-sei=Deng en-aut-mei=Qing kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Southwest China Teachers University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=157 end-page=163 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Global Dimension of 2x2 Generic Trace Zero Matrices and Invariants of 2x2 Generic Matrices en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HuhChan en-aut-sei=Huh en-aut-mei=Chan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Pusan National University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=1 end-page=12 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the (2,3)-closures of Ideals en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OdaSusumu en-aut-sei=Oda en-aut-mei=Susumu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YoshidaKen-Ichi en-aut-sei=Yoshida en-aut-mei=Ken-Ichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Uji-Yamada High School affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=125 end-page=129 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An Example of an Indecomposable Module which is not Injective en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MorimotoShoji en-aut-sei=Morimoto en-aut-mei=Shoji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ShudoTakefumi en-aut-sei=Shudo en-aut-mei=Takefumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Hagi Koen Gakuin High School affil-num=2 en-affil= kn-affil=Fukuoka Dental College END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=99 end-page=114 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Signatures on a Ring en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KanzakiTeruo en-aut-sei=Kanzaki en-aut-mei=Teruo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kinki University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=195 end-page=204 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Some Products of ƒÀ-elements in the Homotopy of the Moore Spectrum en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MabuchiMiho en-aut-sei=Mabuchi en-aut-mei=Miho kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ShimomuraKatsumi en-aut-sei=Shimomura en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Tottori University affil-num=2 en-affil= kn-affil=Tottori University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=57 end-page=66 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Nilpotency Index of the Radical of a Group Algebra. X en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MotoseKaoru en-aut-sei=Motose en-aut-mei=Kaoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Hirosaki University END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=1 article-no= start-page=175 end-page=179 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on the Lie Group G2 as a Framed Boundary en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YokotaniMasaaki en-aut-sei=Yokotani en-aut-mei=Masaaki 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=34 cd-vols= no-issue=1 article-no= start-page=181 end-page=193 dt-received= dt-revised= dt-accepted= dt-pub-year=1992 dt-pub=199201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Integral Cohomology Rings of F4/Spin(n) and E6/Spin(m) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YokotaniMasaaki en-aut-sei=Yokotani en-aut-mei=Masaaki 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=2 cd-vols= no-issue=2 article-no= start-page=103 end-page=110 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195303 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Notes on Basic Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OshimaMasaru en-aut-sei=Oshima en-aut-mei=Masaru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=2 article-no= start-page=111 end-page=148 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195303 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Theorie der Derivationen und K?rperdifferenten en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MoriyaMikao en-aut-sei=Moriya en-aut-mei=Mikao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=2 article-no= start-page=149 end-page=184 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195303 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Contribution ? la Topologie II en-subtitle= kn-subtitle= en-abstract= kn-abstract=

On croit en général que la théorie topologique dans un espace se développe en relation avec la propriété topologique de l'espace considéré. Cependant, si l'on envisage les notions utilisées pour établir la théorie, on voit sans peine qu'il y a deux espéces de notions, c.-á-d. que les unes sont en relations intimes avec la topologie de l'espace et les autres, presque indépendantes de la topologie de l'espace. Par exemple, la notion d'un ensemble fermé est bien définie en relation intime avec la topologie de l'espace considéré et la notion de l'ensemble mesurable ß se rapporte certainement á la puissance ℵ0 , mais il sera plus naturel de dire qu'elle est presque indépendante de la topologie de l'espace. Pour mettre en lumière ce que nous avons rapporté plus haut, nous montrons un exemple. Si l'on regard l'ensemble dit homogenen Normaltypus ηξ comme un espace dans lequel, comme toujours, les voisinages d'un point x sont d'intervalles ouverts contenant le point x, alors, comme on le voit sans peine, la SQ1nme de nombre dénombrable d'ensembles ferm?s l'est également; par conséquent, dans cet espace la notion de l'ensemble Fσ au sens usuel n'a aucun sens essentiel, et on voit que dans cet espace l'ensemble correspondant à l'ensemble Fσ doit ?tre défini comme une somme de la puissance ℵξ d'ensembles fermés. Originellement, la topologie prend sa source à la notion de la. limite et il me semble donc qu'il est naturel de développer sa théorie en relation avec la structure de la limite dans l'espace que nous avons en question. Soient R un espace υ introduit par M. Fréchet et χ un point de? R. Alors, il y a plusieurs familles de voisinages du point χ telles qu'elles sont équivalentes deux à deux, et de plus il y a une famille telle que sa puissance est la plus petite parmi celles de toutes les familles. Désignons respectivement par {V(χ)} et ℵ(χ), la famille et sa puissance. Cela posé, si un système ordonné de points {χχ} converge vers le point χ, alors, comme on le sait, on peut convenablement extraire un système {χv(χ)}, se composant de points de {χχ} et ordonné suivant l'ordre de l'ensemble {V(χ)} de leurs suffixes, tel qu'il converge vers le point χ; ce qui Inontre que la convergence vers le point x peut être écrite par le mot de la convergence d'un système ordonné de la puissance ℵξ(χ). Par conséquent, si la puissance ℵξ(χ) est indépendante du point x de l'espace considéré, nous pouvons écrire la topologie dans l'espace par le mot de la conver, gence d'un syst?me ordonné de la puissance ℵξ. Ainsi, on peut dire que l'espace jouit en un sens de la structure uniforme par rapport à la limite. De plus, quoiqu'un espace considéré R ne soit pas à structure uniforlne en ce sens enoncé plus haut, s'il est quantitatif, la puissance d'ensemble de suffixes de voisinages est indépendante de points de l'espace et, par suite, on peut considérer que l'espace est à structure unifonne par rapport à la lilnite. Ainsi, il sera naturel que, dans l'espace quantitatif, la notion ayant des relations avec une puissance doit être définie en relation avec la puissance de 1'ensemble des suffixes, et, en effet, on pourra voir dans ˜ 5 que la puissance joura un rôle important dans tel espace. Dans ce travail, nous traitons principalement pour abréger les espaces quantitatifs dans lesquels chaque voisinage est ouvert. Le premier objet de cet article est d'excepter des notions ayant des relations avec la puissance ℵ0 dans le sens conventionnel, et le deuxième, de démontrer un traitement naturel sur quelques affaires fondaInentales dans la topologie. Nous traiterons les espaces quantitatifs dans ˜ 5 et les espaces à structure uniforme dans ˜ 6.

en-copyright= kn-copyright= en-aut-name=InagakiTakeshi en-aut-sei=Inagaki en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=2 article-no= start-page=99 end-page=101 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195303 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Sur un Ensemble De Capacit? Nulle et L'infini D'un Potentiel en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NinomiyaNobuyuki en-aut-sei=Ninomiya 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= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=2 article-no= start-page=185 end-page=189 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195303 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Quelques G?n?ralisations des Th?or?mes Concernant aux Produits Directs Des Espaces Lin?aires Localement Convexes en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Les deux th?or?mes, qui sont ?tablis dans "Sur les espaces lin?aires localement convexes" par O. Takenouchi (qui a paru dans ce m?me Journal, tom. 2, n‹1, pp. 57-84), et qui insistent que le produit direct des espaces de chacune de deux esp?ces c.-?-d. "bornologique" et "tonnel?" est encore l'un de la m?me esp?ce, sont vrais sous les conditions moins restrictives. ? savoir, Concernant au th?or?me 14: La restriction d'?tre complet n'est pas n?cessaire. Concernant au th?or?me 15: La puissance d'ensemble des composants du produit peut ?tre tenue encore plus grand.

en-copyright= kn-copyright= en-aut-name=AmemiyaIchiro en-aut-sei=Amemiya 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= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=1 article-no= start-page=49 end-page=55 dt-received= dt-revised= dt-accepted= dt-pub-year=1952 dt-pub=195210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Families of Continuous Vector Fields Over Spheres en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SugawaraMasahiro en-aut-sei=Sugawara en-aut-mei=Masahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=1 article-no= start-page=57 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=1952 dt-pub=195210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Sur les Espaces Lineaires Localement Convexes en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TakenouchiOsamu en-aut-sei=Takenouchi en-aut-mei=Osamu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=1 article-no= start-page=9 end-page=12 dt-received= dt-revised= dt-accepted= dt-pub-year=1952 dt-pub=195210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Cartan Invariants of Algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OsimaMasaru en-aut-sei=Osima en-aut-mei=Masaru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=1 article-no= start-page=13 end-page=20 dt-received= dt-revised= dt-accepted= dt-pub-year=1952 dt-pub=195210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Eine notwendige Bedingung f?r die G?ltigkeit der Klassenk?rpertheorie im Kleinen en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MoriyaMikao en-aut-sei=Moriya en-aut-mei=Mikao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=1 article-no= start-page=21 end-page=40 dt-received= dt-revised= dt-accepted= dt-pub-year=1952 dt-pub=195210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On The Spaces With Normal Projective Connexions And Some Imbedding Problem Of Riemannian Spaces II en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In the present paper, we shall investigate the conditions under which a given Riemannian space Vn can be imbedded, as a hypersurface, into a Riemannian space Vn+1 which has the following properties I) and II). I) The group of holonomy of the space with a normal projective .connexion corresponding to Vn+1 fixes a hyperquadric and Vn is its image in Vn+1 , that is, the locus of points lying on the parallel displaced hyperquadrics, regarded as points in the tangent projective spaces. If Vn+1 has the property above, there exist a scalar y such that the hypersurface is given by the relation y -= 0. II) The orthogonal trajectories of the family of the hypersurfaces on which y is constant are geodesics in Vn+1. If the group of holonomy of the space with a normal projective eonnexion corresponding to a Vn+1 fixes a hyperquadric, it is projectively equivalent to an Einstein space2 ). In the previous paper, the author have studied the problem of the same kind as this under the conditions I) and II') Vn+1 is an Einstein space. The imbedding problem of Vn into Vn+1 under the only condition I) is very complicated in structure. The purpose of the present paper is also to search for the methods dealing with the problem, as the previous one.

en-copyright= kn-copyright= en-aut-name=OtsukiTominosuke en-aut-sei=Otsuki en-aut-mei=Tominosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=1 article-no= start-page=1 end-page=7 dt-received= dt-revised= dt-accepted= dt-pub-year=1952 dt-pub=195210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Sur Une Suite Convergente de Distributions de Masses et Leurs Potentiels Correspondants en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NinomiyaNobuyuki en-aut-sei=Ninomiya 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= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=1 article-no= start-page=85 end-page=97 dt-received= dt-revised= dt-accepted= dt-pub-year=1952 dt-pub=195210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Compactification of Topological Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=InagakiTakashi en-aut-sei=Inagaki en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SugawaraMasahiro en-aut-sei=Sugawara en-aut-mei=Masahiro 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= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=1 article-no= start-page=41 end-page=48 dt-received= dt-revised= dt-accepted= dt-pub-year=1952 dt-pub=195210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Sur le Caract?re Fonctionelle de la Solution du Probléme de Dirichlet en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NinomiyaNobuyuki en-aut-sei=Ninomiya 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= END start-ver=1.4 cd-journal=joma no-vol=3 cd-vols= no-issue=2 article-no= start-page=139 end-page=142 dt-received= dt-revised= dt-accepted= dt-pub-year=1954 dt-pub=195403 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some remarks on radical ideals 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=3 cd-vols= no-issue=2 article-no= start-page=143 end-page=145 dt-received= dt-revised= dt-accepted= dt-pub-year=1954 dt-pub=195403 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the regularly convex hull of a set in a conjugate Banach space en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TomitaMinoru en-aut-sei=Tomita en-aut-mei=Minoru 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=3 cd-vols= no-issue=2 article-no= start-page=109 end-page=119 dt-received= dt-revised= dt-accepted= dt-pub-year=1954 dt-pub=195403 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some studies on Frobenius algebras, II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OsimaMasaru en-aut-sei=Osima en-aut-mei=Masaru 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=3 cd-vols= no-issue=2 article-no= start-page=175 end-page=184 dt-received= dt-revised= dt-accepted= dt-pub-year=1954 dt-pub=195403 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Sur les anneaux des fonctions continues ? support compact en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FujiwaraKaichiro en-aut-sei=Fujiwara en-aut-mei=Kaichiro 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=3 cd-vols= no-issue=2 article-no= start-page=121 end-page=127 dt-received= dt-revised= dt-accepted= dt-pub-year=1954 dt-pub=195403 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Notes on basic rings, II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OsimaMasaru en-aut-sei=Osima en-aut-mei=Masaru 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=3 cd-vols= no-issue=2 article-no= start-page=129 end-page=133 dt-received= dt-revised= dt-accepted= dt-pub-year=1954 dt-pub=195403 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some remarks on homotopy groups of rotation groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SugawaraMasahiro en-aut-sei=Sugawara en-aut-mei=Masahiro 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=3 cd-vols= no-issue=2 article-no= start-page=95 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=1954 dt-pub=195403 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A construction of closed surfaces of negative curvature in E^4 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=3 cd-vols= no-issue=2 article-no= start-page=147 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=1954 dt-pub=195403 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Representations of operator algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TomitaMinoru en-aut-sei=Tomita en-aut-mei=Minoru 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=3 cd-vols= no-issue=2 article-no= start-page=135 end-page=138 dt-received= dt-revised= dt-accepted= dt-pub-year=1954 dt-pub=195403 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Supplement to my previous paper "On primary ideal decompositions in non-commutative 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=3 cd-vols= no-issue=1 article-no= start-page=39 end-page=46 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195310 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On primary ideal decompositions in non-commutative 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=3 cd-vols= no-issue=1 article-no= start-page=47 end-page=64 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195310 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the induced characters of groups of finite order en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OsimaMasaru en-aut-sei=Osima en-aut-mei=Masaru 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=3 cd-vols= no-issue=1 article-no= start-page=5 end-page=10 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195310 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Necessary conditions for local class field theory en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SchillingO. F. G. en-aut-sei=Schilling en-aut-mei=O. F. G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University Of Chicago END start-ver=1.4 cd-journal=joma no-vol=3 cd-vols= no-issue=1 article-no= start-page=89 end-page=94 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195310 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some theorems on a system of matrices and a geometrical application 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=3 cd-vols= no-issue=1 article-no= start-page=11 end-page=21 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195310 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the homotopy groups of rotation groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SugawaraMasahiro en-aut-sei=Sugawara en-aut-mei=Masahiro 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=3 cd-vols= no-issue=1 article-no= start-page=23 end-page=28 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195310 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Inverses in Euclidean mobs en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=WallaceA. D. en-aut-sei=Wallace en-aut-mei=A. D. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=The Tulane University Of Louisiana END start-ver=1.4 cd-journal=joma no-vol=3 cd-vols= no-issue=1 article-no= start-page=1 end-page=3 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195310 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Indecomposable semigroups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=WallaceA. D. en-aut-sei=Wallace en-aut-mei=A. D. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tulane University END start-ver=1.4 cd-journal=joma no-vol=3 cd-vols= no-issue=1 article-no= start-page=65 end-page=88 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195310 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On some Riemann spaces 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=3 cd-vols= no-issue=1 article-no= start-page=29 end-page=38 dt-received= dt-revised= dt-accepted= dt-pub-year=1953 dt-pub=195310 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Charakterisierung der nicht-archimedischen Bewertungen durch Gr?ssenordnungen en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MoriyaMikao en-aut-sei=Moriya en-aut-mei=Mikao 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=36 cd-vols= no-issue=1 article-no= start-page=145 end-page=177 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Atiyah-Singer Index Theorem for G-Equivariant Real Elliptic Families en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TsuboiKenji en-aut-sei=Tsuboi 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=Tokyo University of Fisheries END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=1 article-no= start-page=51 end-page=62 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Anti-Integral Extensions and Unramified Extensions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KanemitsuMitsuo en-aut-sei=Kanemitsu en-aut-mei=Mitsuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YoshidaKen-ichi en-aut-sei=Yoshida en-aut-mei=Ken-ichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Aichi University of Education affil-num=2 en-affil= kn-affil=Okayama University of Science END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=1 article-no= start-page=63 end-page=75 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On R-Automorphisms of R[X] 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=PaquesAntonio en-aut-sei=Paques en-aut-mei=Antonio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universidade Federal do Rio Grande do Sul affil-num=2 en-affil= kn-affil=Universidade Estadual de Campinas END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=1 article-no= start-page=185 end-page=197 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Some Products of ƒÀ-Elements in the Homotopy of the Moore Spectrum II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=InoueHiromi en-aut-sei=Inoue en-aut-mei=Hiromi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OsakadaYoshiko en-aut-sei=Osakada en-aut-mei=Yoshiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SimomuraKatsumi en-aut-sei=Simomura en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Tottori University affil-num=2 en-affil= kn-affil=Tottori University affil-num=3 en-affil= kn-affil=Tottori University END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=1 article-no= start-page=133 end-page=143 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Element \bar{kappa} is not in the Image of the S¹-Transfer 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=36 cd-vols= no-issue=1 article-no= start-page=199 end-page=208 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Generalization of the Bott-Taubes Rigidity Theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TsukudaShuichi en-aut-sei=Tsukuda en-aut-mei=Shuichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kyoto University END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=1 article-no= start-page=23 end-page=27 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On commutative group algebras. II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MotoseKaoru en-aut-sei=Motose en-aut-mei=Kaoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Hirosaki University END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=1 article-no= start-page=85 end-page=103 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Structure of Rings Satisfying Certain Polynomial Identities and Commutativity Theorems 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 of Technology END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=1 article-no= start-page=29 end-page=34 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on the Generalized Euler Constants en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TasakaTakashi en-aut-sei=Tasaka en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Tokyo END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=1 article-no= start-page=35 end-page=44 dt-received= dt-revised= dt-accepted= dt-pub-year=1994 dt-pub=199401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Theta Functions. I en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TasakaTakashi en-aut-sei=Tasaka en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Tokyo END