start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=21 end-page=25 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some examples of non-tidy spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=We construct a free Z2-space Xn for a positive integer n such that w1(Xn)n ≠ 0 but there is no Z2-map from S2 to Xn. en-copyright= kn-copyright= en-aut-name=MatsushitaTakahiro en-aut-sei=Matsushita en-aut-mei=Takahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Mathematical Sciences, The University of Tokyo kn-affil= END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=27 end-page=40 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The degree of set-valued mappings from ANR spaces to homology spheres en-subtitle= kn-subtitle= en-abstract= kn-abstract=An admissible mapping is a set-valued mapping which has a selected pair of continuous mappings. In this paper, we study the degree of admissible mappings from ANR spaces to homology spheres and prove the uniqueness of the degree under some conditions. en-copyright= kn-copyright= en-aut-name=ShitandaYoshimi en-aut-sei=Shitanda en-aut-mei=Yoshimi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=School of political science and economics, Meiji University kn-affil= en-keyword=Gysin-Smith sequence kn-keyword=Gysin-Smith sequence en-keyword=Vietoris-Begle mapping theorem kn-keyword=Vietoris-Begle mapping theorem END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=41 end-page=70 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On a non-abelian generalization of the Bloch–Kato exponential map en-subtitle= kn-subtitle= en-abstract= kn-abstract=The present paper establishes a non-abelian generalization of the Bloch–Kato exponential map. Then, we relate p-adic polylogarithms introduced by Coleman to `-adic polylogarithms introduced by Wojtkowiak. This formula is another analog of the Coleman–Ihara formula obtained by Nakamura, Wojtkowiak, and the author. en-copyright= kn-copyright= en-aut-name=SakugawaKenji en-aut-sei=Sakugawa en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Graduate School of Science, Osaka University kn-affil= en-keyword=Bloch–Kato exponential map kn-keyword=Bloch–Kato exponential map en-keyword=Non-abelian p-adic Hodge theory kn-keyword=Non-abelian p-adic Hodge theory en-keyword=Coleman–Ihara formula kn-keyword=Coleman–Ihara formula END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=71 end-page=79 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Evaluation of convolution sums and some remarks on cusp forms of weight 4 and level 12 en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this note, we evaluate certain convolution sums and make some remarks about the Fourier coefficients of cusp forms of weight 4 for Γ0(12). We express the normalized newform of weight 4 on Γ0(12) as a linear combination of the (quasimodular) Eisenstein series (of weight 2) E2(dz), d|12 and their derivatives. Now, by comparing the work of Alaca-Alaca-Williams [1] with our results, as a consequence, we express the coefficients c1,12(n) and c3,4(n) that appear in [1, Eqs.(2.7) and (2.12)] in terms of linear combination of the Fourier coefficients of newforms of weight 4 on Γ0(6) and Γ0(12). The properties of c1,12(n) and c3,4(n) that are derived in [1] now follow from the properties of the Fourier coefficients of the newforms mentioned above. We also express the newforms as a linear combination of certain eta-quotients and obtain an identity involving eta-quotients. en-copyright= kn-copyright= en-aut-name=RamakrishhanB. en-aut-sei=Ramakrishhan en-aut-mei=B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SahuBrundaban en-aut-sei=Sahu en-aut-mei=Brundaban kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Harish-Chandra Research Institute kn-affil= affil-num=2 en-affil=School of Mathematical Sciences National Institute of Science Education and Research kn-affil= en-keyword=convolution sums of the divisor function kn-keyword=convolution sums of the divisor function en-keyword=Fourier coeffificients kn-keyword=Fourier coeffificients en-keyword=newforms of integral weight kn-keyword=newforms of integral weight END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=81 end-page=92 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An arithmetic function arising from the Dedekind ψ function en-subtitle= kn-subtitle= en-abstract= kn-abstract=We define ψ‾ to be the multiplicative arithmetic function that satisfies

for all primes p and positive integers α. Let λ(n) be the number of iterations of the function ψ‾ needed for n to reach 2. It follows from a theorem due to White that λ is additive. Following Shapiro's work on the iterated φ function, we determine bounds for λ. We also use the function λ to partition the set of positive integers into three sets S1, S2, S3 and determine some properties of these sets. en-copyright= kn-copyright= en-aut-name=DefantColin en-aut-sei=Defant en-aut-mei=Colin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Florida kn-affil= en-keyword=Iterated function kn-keyword=Iterated function en-keyword=Dedekind function kn-keyword=Dedekind function en-keyword=additive function kn-keyword=additive function END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=93 end-page=111 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Gauss maps of cuspidal edges in hyperbolic 3-space, with application to flat fronts en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study singularities of de Sitter Gauss map images of cuspidal edges in hyperbolic 3-space. We show relations between singularities of de Sitter Gauss map images and differential geometric properties of cuspidal edges. Moreover, we apply this result to flat fronts in hyperbolic 3-space. en-copyright= kn-copyright= en-aut-name=OgataYuta en-aut-sei=Ogata en-aut-mei=Yuta kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TeramotoKeisuke en-aut-sei=Teramoto en-aut-mei=Keisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Kobe University kn-affil= affil-num=2 en-affil=Department of Mathematics, Graduate School of Science, Kobe University kn-affil= en-keyword=cuspidal edge kn-keyword=cuspidal edge en-keyword=swallowtail kn-keyword=swallowtail en-keyword=de Sitter Gauss map image kn-keyword=de Sitter Gauss map image en-keyword=singularity kn-keyword=singularity en-keyword=flat front kn-keyword=flat front END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=113 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on the Lavallee-Spearman-Williams-Yang family of quadratic fields en-subtitle= kn-subtitle= en-abstract= kn-abstract=In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D5-quintic polynomial and studied its splitting field. The present paper gives an infinite family of quadratic fields with class number divisible by 5 by using properties of its polynomial. en-copyright= kn-copyright= en-aut-name=KimKwang-Seob en-aut-sei=Kim en-aut-mei=Kwang-Seob kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KishiYasuhiro en-aut-sei=Kishi en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=School of Mathematics, Korea Institute for Advanced Study kn-affil= affil-num=2 en-affil=Department of Mathematics, Aichi University of Education kn-affil= en-keyword=Class numbers kn-keyword=Class numbers en-keyword=Quadratic fields kn-keyword=Quadratic fields en-keyword=D5-polynomials kn-keyword=D5-polynomials END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=117 end-page=130 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on balance equations for doubly periodic minimal surfaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=Most known examples of doubly periodic minimal surfaces in R3 with parallel ends limit as a foliation of R3 by horizontal noded planes, with the location of the nodes satisfying a set of balance equations. Conversely, for each set of points providing a balanced configuration, there is a corresponding three-parameter family of doubly periodic minimal surfaces. In this note we derive a differential equation that is equivalent to the balance equations for doubly periodic minimal surfaces. This allows for the generation of many more solutions to the balance equations, enabling the construction of increasingly complicated surfaces. en-copyright= kn-copyright= en-aut-name=ConnorPeter en-aut-sei=Connor en-aut-mei=Peter kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences, Indiana University South Bend kn-affil= en-keyword=minimal surfaces kn-keyword=minimal surfaces en-keyword=doubly periodic kn-keyword=doubly periodic en-keyword=balance equations kn-keyword=balance equations END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=131 end-page=140 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Higher-dimensional absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we define and discuss higher-dimensional and absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras. In particular, we compare these with the relative notions defined by Scheja and Storch. We also prove the validity of codimension two-argument for modules over a coherent sheaf of algebras with a 2-canonical module, generalizing a result of the author. en-copyright= kn-copyright= en-aut-name=HashimotoMitsuyasu en-aut-sei=Hashimoto en-aut-mei=Mitsuyasu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Science, Okayama University kn-affil= en-keyword=canonical module kn-keyword=canonical module en-keyword=symmetric algebra kn-keyword=symmetric algebra en-keyword=Frobenius algebra kn-keyword=Frobenius algebra en-keyword=quasi-Frobenius algebra kn-keyword=quasi-Frobenius algebra en-keyword=n-canonical module kn-keyword=n-canonical module END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=141 end-page=147 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the (1 − C2) condition en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we give some results on (1 − C2)−modules and 1−continuous modules. en-copyright= kn-copyright= en-aut-name=Le Van An en-aut-sei=Le Van An en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Nguyen Thi Hai Anh en-aut-sei=Nguyen Thi Hai Anh en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=Ngo Sy Tung en-aut-sei=Ngo Sy Tung en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Natural Education, Ha Tinh University kn-affil= affil-num=2 en-affil=Department of Natural Education, Ha Tinh University kn-affil= affil-num=3 en-affil=Department of Mathematics, Vinh University kn-affil= en-keyword=injective module kn-keyword=injective module en-keyword=continuous module kn-keyword=continuous module en-keyword=uniform module kn-keyword=uniform module en-keyword=UC module kn-keyword=UC module en-keyword=distributive module kn-keyword=distributive module END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=149 end-page=174 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Scattering and semi-classical asymptotics for periodic Schrödinger operators with oscillating decaying potential en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the semi-classical regime (i.e., h ↘ 0), we study the effect of an oscillating decaying potential V (hy, y) on the periodic Schrödinger operator H. The potential V (x, y) is assumed to be smooth, periodic with respect to y and tends to zero as |x| → ∞. We prove the existence of O(h−n) eigenvalues in each gap of the operator H + V (hy, y). We also establish a Weyl type asymptotics formula of the counting function of eigenvalues with optimal remainder estimate. We give a weak and pointwise asymptotic expansions in powers of h of the spectral shift function corresponding to the pair (H + V (hy, y),H). Finally, under some analytic assumption on the potential V we prove the existence of shape resonances, and we give their asymptotic expansions in powers of h1/2. All our results depend on the Floquet eigenvalues corresponding to the periodic Schrödinger operator H +V (x, y), (here x is a parameter). en-copyright= kn-copyright= en-aut-name=DimassiMouez en-aut-sei=Dimassi en-aut-mei=Mouez kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Anh Tuan Duong en-aut-sei=Anh Tuan Duong en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Universit´e Bordeaux I, Institut de Math´ematiques de Bordeaux kn-affil= affil-num=2 en-affil=Department of Mathematics, Hanoi National University of Education kn-affil= en-keyword=Periodic Schrödinger operator kn-keyword=Periodic Schrödinger operator en-keyword=oscillating potential kn-keyword=oscillating potential en-keyword=spectral shift function kn-keyword=spectral shift function en-keyword=asymptotic expansions kn-keyword=asymptotic expansions en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=175 end-page=218 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Blowup and global existence of a solution to a semilinear reaction-diffusion system with the fractional Laplacian en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we deal with the semilinear reaction diffusion system with the fractional Laplacian.

where p,q > 1 and 0 < α < 1. We study the existence of a global in time solution, the blowup of a solution, and the life span of the blowup solution to the above reaction-diffusion system for sufficiently small initial data. en-copyright= kn-copyright= en-aut-name=KakehiTomoyuki en-aut-sei=Kakehi en-aut-mei=Tomoyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OshitaYoshihito en-aut-sei=Oshita en-aut-mei=Yoshihito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=2 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=Reaction diffusion system kn-keyword=Reaction diffusion system en-keyword=fractional Laplacian kn-keyword=fractional Laplacian en-keyword=global existence kn-keyword=global existence en-keyword=blowup kn-keyword=blowup en-keyword=life span kn-keyword=life span END start-ver=1.4 cd-journal=joma no-vol=27 cd-vols= no-issue=1 article-no= start-page=35 end-page=38 dt-received= dt-revised= dt-accepted= dt-pub-year=1985 dt-pub=198501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Rings decomposed into direct sums of nil rings and certain reduced rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HiranoYasuyuki en-aut-sei=Hirano en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=27 cd-vols= no-issue=1 article-no= start-page=205 end-page=216 dt-received= dt-revised= dt-accepted= dt-pub-year=1985 dt-pub=198501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the spaces U(2n)/ΔU and the Bott maps en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YasuoMinato en-aut-sei=Yasuo en-aut-mei=Minato kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Yamanashi University 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=Über 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=Über 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=Beiträge 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; [ΣHP³, ΣHP³] 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=FurukawaTôru en-aut-sei=Furukawa en-aut-mei=Tôru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=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 y²=x³-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 y² =x³-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 σ(l) σ(m) and ∑3l+8m=n σ(l) σ(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=SaïdiMohamed en-aut-sei=Saïdi 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 δ-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 Erdélyi 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. Brešar 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 (σ,τ)-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=GüvenEvrim en-aut-sei=Güven 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=SoytürkMuharrem en-aut-sei=Soytürk 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=Çanakkale 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 π(ΣA × 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 σ′ 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 Cesàro 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=GonçalvesDaciberg Lima en-aut-sei=Gonçalves 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 Matemática 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 Φ-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=Universitá Di Torino affil-num=2 en-affil= kn-affil=Universitá 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=π-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 β-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 Körperdifferenten 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 à 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 fermés 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 être 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 système 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 Capacité 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 Généralisations des Théorémes Concernant aux Produits Directs Des Espaces Linéaires Localement Convexes en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Les deux théorèmes, qui sont établis dans "Sur les espaces linéaires localement convexes" par O. Takenouchi (qui a paru dans ce même Journal, tom. 2, n°1, pp. 57-84), et qui insistent que le produit direct des espaces de chacune de deux espèces c.-à-d. "bornologique" et "tonnelé" est encore l'un de la même espèce, sont vrais sous les conditions moins restrictives. À savoir, Concernant au théorème 14: La restriction d'être complet n'est pas nécessaire. Concernant au théorème 15: La puissance d'ensemble des composants du produit peut être 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 für die Gültigkeit der Klassenkörpertheorie 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 Caractère 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 à 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 Grössenordnungen 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 β-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 start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=1 article-no= start-page=179 end-page=184 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 Note on the K-Theory of Constructible Sheves over a Curve en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SasakiTetsuo en-aut-sei=Sasaki en-aut-mei=Tetsuo 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=1 end-page=21 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=Finite p-groups with cyclic subgroups of index p² en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NinomiyaYasushi en-aut-sei=Ninomiya en-aut-mei=Yasushi 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=105 end-page=131 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 Semiprime Rings Satisfying Certain Conditions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NishinakaTsunekazu en-aut-sei=Nishinaka en-aut-mei=Tsunekazu 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=77 end-page=84 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=TTF-Theory Over a Semiperfect Ring 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= affil-num=1 en-affil= kn-affil=Hagi Koen Gakuin High School 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=An Integral Involving the Error Term of the Mean Square of the Riemann Zeta-Function in the Critical Strip en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KiuchiIsao en-aut-sei=Kiuchi 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=Yamaguchi University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=177 end-page=178 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=MULTIPLE POISSON KERNELS en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SpreaficoMauro en-aut-sei=Spreafico en-aut-mei=Mauro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=ICMC, Universidade de Sāo Paulo, Sāo Carlos END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=101 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A NOTE ON ALMOST INJECTIVE MODULES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=AlahmadiAdel en-aut-sei=Alahmadi en-aut-mei=Adel kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=JainSurender K. en-aut-sei=Jain en-aut-mei=Surender K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Ohio University affil-num=2 en-affil= kn-affil=Department of Mathematics, Ohio University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=111 end-page=119 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON LIE IDEALS AND LEFT JORDAN σ-CENTRALIZERS OF 2-TORSION-FREE RINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=CortesWagner en-aut-sei=Cortes en-aut-mei=Wagner kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HaetingerClaus en-aut-sei=Haetinger en-aut-mei=Claus kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=INSTITUTO DE MATEMÁTICA UNIVERSIDADE FEDERAL DO RIO GRANDE DO SUL affil-num=2 en-affil= kn-affil=CENTRO DE CIÊNCIAS EXATAS E TECNOLÓGICAS END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=193 end-page=201 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A NOTE ON CERTAIN METRICS ON R4+ en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OtsukiTominosuke en-aut-sei=Otsuki en-aut-mei=Tominosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=159 end-page=176 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=LOCALLY AND COLOCALLY FACTORABLE BANACH SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=JamjoomF. B.H. en-aut-sei=Jamjoom en-aut-mei=F. B.H. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=JebreenH. M. en-aut-sei=Jebreen en-aut-mei=H. M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, King Saud University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science, King Saud University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=27 end-page=46 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=RADIAL HEAT OPERATORS ON JACOBI-LIKE FORMS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

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

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

en-copyright= kn-copyright= en-aut-name=IimaKei-ichiro en-aut-sei=Iima en-aut-mei=Kei-ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=IwamatsuRyo en-aut-sei=Iwamatsu en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=47 end-page=69 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON ι-ADIC ITERATED INTEGRALS, IV -Ramification and generators of Galois actions on fundamental groups and torsors of paths en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

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

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

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

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

en-copyright= kn-copyright= en-aut-name=DanchevPeter en-aut-sei=Danchev en-aut-mei=Peter kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Mathematical Department, Plovdiv State University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=1 end-page=26 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON THE FUNDAMENTAL GROUPS OF LOG CONFIGURATION SCHEMES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Research Institute for Mathematical Sciences Kyoto University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=149 end-page=157 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE SPACE Lq OF DOUBLE SEQUENCES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

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

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

en-copyright= kn-copyright= en-aut-name=SanadaYukari en-aut-sei=Sanada en-aut-mei=Yukari kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Tsuda College END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=83 end-page=100 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=NAKAYAMA ISOMORPHISMS FOR THE MAXIMAL QUOTIENT RING OF A LEFT HARADA RING en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=NonomuraKazuaki en-aut-sei=Nonomura en-aut-mei=Kazuaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of General Science Tsuruoka National College of Technology END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=227 end-page=242 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=C-Totally Real Submanifolds of S^7(1) with Non-Negative Sectional Curvature en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=DillenFranki en-aut-sei=Dillen en-aut-mei=Franki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=VranckenLuc en-aut-sei=Vrancken en-aut-mei=Luc kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Katholieke Universiteit Leuven affil-num=2 en-affil= kn-affil=Katholieke Universiteit Leuven END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=125 end-page=133 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Generalizations of Boolean Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OkamotoHiroaki en-aut-sei=Okamoto en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=GrosenJulie en-aut-sei=Grosen en-aut-mei=Julie kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=University of California affil-num=3 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=73 end-page=77 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Commutative Rings over which all Semiprime Finitely Generated Algebras are Separable en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HiranoYasuyuki en-aut-sei=Hirano en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ParkJae Keol en-aut-sei=Park en-aut-mei=Jae Keol 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=Busan National University END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=79 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Galois H-Dimodule Algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=UlbrichKarl-H. en-aut-sei=Ulbrich en-aut-mei=Karl-H. 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=31 cd-vols= no-issue=1 article-no= start-page=141 end-page=151 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Hereditary Artinian Rings and Azumaya's Exactness Condition en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FullerKent R. en-aut-sei=Fuller en-aut-mei=Kent R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=XueWeimin en-aut-sei=Xue en-aut-mei=Weimin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=The University of Iowa affil-num=2 en-affil= kn-affil=Fujian Normal University END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=93 end-page=99 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Decomposition Theorems for Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=221 end-page=225 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Tauberian Theorems of Jp → Mp-Type en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TietzHubert en-aut-sei=Tietz en-aut-mei=Hubert kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Universität Stuttgart END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=179 end-page=188 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Harada Rings. II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OshiroKiyoichi en-aut-sei=Oshiro en-aut-mei=Kiyoichi 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=31 cd-vols= no-issue=1 article-no= start-page=153 end-page=159 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Separated Sets of Torsion Theories en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=GolanJonathan S. en-aut-sei=Golan en-aut-mei=Jonathan S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Haifa END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=9 end-page=23 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Results on the Weak Normalization of an Integral Domain en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=DobbsDavid E. en-aut-sei=Dobbs en-aut-mei=David E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=FontanaMarco en-aut-sei=Fontana en-aut-mei=Marco kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=University of Tennessee affil-num=2 en-affil= kn-affil=Università di Roma,"La Sapienza" END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=93 end-page=99 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Decomposition Theorems for Periodic Rings and Near-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=LighSteve en-aut-sei=Ligh en-aut-mei=Steve 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 Southwestern Louisiana END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=25 end-page=29 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Generalized PF-Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=Al-EzehHasan en-aut-sei=Al-Ezeh en-aut-mei=Hasan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Jordan END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=31 end-page=55 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Primitive Elements of Galois Extensions of Commutative Semi-Local Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KikumasaIsao en-aut-sei=Kikumasa en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KishimotoKazuo en-aut-sei=Kishimoto en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=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=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=213 end-page=220 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Distribution of Pythagorean Triples and a Three-Dimensional Divisor Problem en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NowakWerner Georg en-aut-sei=Nowak en-aut-mei=Werner Georg kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=RecknagelWinfried en-aut-sei=Recknagel en-aut-mei=Winfried kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universität für Bodenkultur affil-num=2 en-affil= kn-affil=Fachbereich Informtik END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=135 end-page=140 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Zur Struktur Nichtkommutativer Ringe en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=StrebWalter en-aut-sei=Streb en-aut-mei=Walter kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Universität-GHS-Essen END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=161 end-page=178 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Harada Rings. I en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OshiroKiyoichi en-aut-sei=Oshiro en-aut-mei=Kiyoichi 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=31 cd-vols= no-issue=1 article-no= start-page=1 end-page=8 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Sets Which Contain a Quadratic Residue Modulo p for Almost All p en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FilasetaMichael A. en-aut-sei=Filaseta en-aut-mei=Michael A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=RichmanDavid R. en-aut-sei=Richman en-aut-mei=David R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=University of South Carolina affil-num=2 en-affil= kn-affil=University of South Carolina END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=101 end-page=120 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Chacron's Condition and Commutativity Theorems en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=85 end-page=91 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Fixed Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KitamuraYoshimi en-aut-sei=Kitamura en-aut-mei=Yoshimi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokyo Gakugei University END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=207 end-page=212 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Asymptotic Behavior of a Certain Multiplicative Function en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KiuchiIsao en-aut-sei=Kiuchi 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= END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=31 end-page=55 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Primitive Elements of Galois Extensions of Commutative Semi-Local Rings II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KikumasaIsao en-aut-sei=Kikumasa en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=189 end-page=196 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On H-Rings with Homogeneous Socles en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OshiroKiyoichi en-aut-sei=Oshiro en-aut-mei=Kiyoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ShigenagaKazuo en-aut-sei=Shigenaga en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Yamaguchi University affil-num=2 en-affil= kn-affil=Ube Technical College END start-ver=1.4 cd-journal=joma no-vol=31 cd-vols= no-issue=1 article-no= start-page=197 end-page=206 dt-received= dt-revised= dt-accepted= dt-pub-year=1989 dt-pub=198901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The A-Cohomology of the Stunted Quaternionic (Quasi-)projective Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ImaokaMitsunori en-aut-sei=Imaoka en-aut-mei=Mitsunori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Wakayama University END start-ver=1.4 cd-journal=joma no-vol=43 cd-vols= no-issue=1 article-no= start-page=1 end-page=16 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Skew Group Algebras and their Yoneda Algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Skew group algebras appear in connection with the study of singularities [1], [2]. It was proved in [4], [6], [10] the preprojective algebra of an Euclidean diagram is Morita equivalent to a skew group algebra of a polynomial algebra. In [7] we investigated the Yoneda algebra of a selfinjective Koszul algebra and proved they have properties analogous to the commutative regular algebras, we call such algebras generalized Auslander regular. The aim of the paper is to prove that given a positively graded locally finite K-algebra Λ = ∑ί≥0 Λί and a finite grading preserving group G of automorphisms of Λ, with characteristic K not dividing the order of G, then G acts naturally on the Yoneda algebra Γ =⊕κ≥0 ExtkΛ(Λ0,Λ0) and the skew group algebra Γ*G is isomorphic to the Yoneda algebra Λ*G = ⊕κ≥0 ExtκΛ*G(Λ0*G,Λ0*G). As an application we prove Λ is generalized Auslander regular if and only if Λ*G is generalized Auslander regular and Λ is Koszul if and only if Λ*G is so.

en-copyright= kn-copyright= en-aut-name=Martinez-villaRoberto en-aut-sei=Martinez-villa en-aut-mei=Roberto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Universidad Nacional Autónoma de México END start-ver=1.4 cd-journal=joma no-vol=43 cd-vols= no-issue=1 article-no= start-page=123 end-page=136 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Nonlinear Ergodic Theorems for Semigroups of Non-Lipschitzian Mappings in Banach Spaces II en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S = {T(t); t ≥ 0} be a nonlinear semigroup of non-Lipschitzian mappings on C which is asymptotically nonexpansive in the intermediate sense. In this paper we study weak almost convergence of almost-orbits of S.

en-copyright= kn-copyright= en-aut-name=MiyaderaIsao en-aut-sei=Miyadera 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=Waseda University en-keyword=nonlinear ergodic theorem kn-keyword=nonlinear ergodic theorem en-keyword=semigroup kn-keyword=semigroup en-keyword=fixed point kn-keyword=fixed point en-keyword=asymptotically nonexpansive in the intermediate sense kn-keyword=asymptotically nonexpansive in the intermediate sense en-keyword=almost-orbit kn-keyword=almost-orbit en-keyword= weak almost convergence. kn-keyword= weak almost convergence. END start-ver=1.4 cd-journal=joma no-vol=43 cd-vols= no-issue=1 article-no= start-page=73 end-page=94 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Role of Commutators in a Non-Cancellation Phenomenon en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We construct an explicit (from the transition function point of view) diffeomorphism between the cartesian products with the 3-sphere of two 10-dimensional loop spaces that are not homotopy equivalent to each other. Our method employs specific models for some S3- principal bundles over S7 and relates the study of this type of noncancellation phenomena to commutators of groups. Our formulas depend only on specifying homotopies of powers of commutators to constants.

en-copyright= kn-copyright= en-aut-name=BarrosTomas Edson en-aut-sei=Barros en-aut-mei=Tomas Edson kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=RigasAlcibiades en-aut-sei=Rigas en-aut-mei=Alcibiades kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universidade Federal de São Carlos affil-num=2 en-affil= kn-affil=Instituto de Matemática, Estatística e Computação Científica END start-ver=1.4 cd-journal=joma no-vol=43 cd-vols= no-issue=1 article-no= start-page=43 end-page=72 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Configuration Spaces with Partially Summable Labels and Homology Theories en-subtitle= kn-subtitle= en-abstract= kn-abstract=

It is shown that any subset of a topological abelian monoid gives rise to a generalized homology theory that is closely related to the notion of labeled configuration space. Applications of the main theorem include generalizations of the classical Dold-Thom and the Barratt- Priddy-Quillen-Segal theorems.

en-copyright= kn-copyright= en-aut-name=ShimakawaKazuhisa en-aut-sei=Shimakawa en-aut-mei=Kazuhisa 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=43 cd-vols= no-issue=1 article-no= start-page=95 end-page=104 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Extensions of Single Valued Continuous and Set Valued Usc Maps en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We show that two main theorems: (1) A regular space Y has a complete sequence if and only if the set valued usco map to Y defined on every dense set D of any space X has an usco extension over a Gδ-set in X containing D. (2) A regular space Y with a Gδ-diagonal has a complete sequence if and only if the single valued continuous map to Y defined on every dense set D of any space X has a continuous extension over a Gδ-set in X containing D.

en-copyright= kn-copyright= en-aut-name=IkenagaShogo en-aut-sei=Ikenaga en-aut-mei=Shogo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NittaShin-ichi en-aut-sei=Nitta en-aut-mei=Shin-ichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YoshiokaIwao en-aut-sei=Yoshioka en-aut-mei=Iwao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Nara National College of Technology affil-num=2 en-affil= kn-affil=Shijonawate Gakuen Junior College affil-num=3 en-affil= kn-affil=Okayama University en-keyword=Complete sequence kn-keyword=Complete sequence en-keyword=G?-diagonal kn-keyword=G?-diagonal en-keyword=usco map kn-keyword=usco map en-keyword= property (E) kn-keyword= property (E) en-keyword=initially ?-compact kn-keyword=initially ?-compact en-keyword= locally compact. kn-keyword= locally compact. END start-ver=1.4 cd-journal=joma no-vol=43 cd-vols= no-issue=1 article-no= start-page=105 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some Cohomotopy Groups of Suspended Projective Planes en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper we compute some cohomotopy groups of the suspended complex and quaternionic projective plane by use of the exact sequence associated with the canonical cofiber sequence and a formula about a multiple of the identity class of the suspended projective plane.

en-copyright= kn-copyright= en-aut-name=KachiHideyuki en-aut-sei=Kachi en-aut-mei=Hideyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MukaiJuno en-aut-sei=Mukai en-aut-mei=Juno kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=NozakiT. en-aut-sei=Nozaki en-aut-mei=T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=SumitaY. en-aut-sei=Sumita en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=TamakiD. en-aut-sei=Tamaki en-aut-mei=D. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University affil-num=2 en-affil= kn-affil=Shinshu University affil-num=3 en-affil= kn-affil=Shinshu University affil-num=4 en-affil= kn-affil=Shinshu University affil-num=5 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=43 cd-vols= no-issue=1 article-no= start-page=25 end-page=30 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Real Embeddings of Real Projective Curves and Real Ramification Points en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Here we study real immersions in a projective space of smooth projective curves defined over R but without real ramification points, giving several examples for canonical embeddings (i.e. existence of real curves without real Weierstrass points) and for plane curves. We also gives numerical obstructions to the existence of real morphisms without real ramification points.

en-copyright= kn-copyright= en-aut-name=BallicoEdoardo en-aut-sei=Ballico en-aut-mei=Edoardo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Trento, Italy en-keyword=Real algebraic curve kn-keyword=Real algebraic curve en-keyword=embedding in a projective space kn-keyword=embedding in a projective space en-keyword=real line bundle kn-keyword=real line bundle en-keyword=unramified morphism kn-keyword=unramified morphism en-keyword=ramification point kn-keyword=ramification point en-keyword=Weierstrass point kn-keyword=Weierstrass point en-keyword=canonical embedding kn-keyword=canonical embedding en-keyword=flex of a plane curve kn-keyword=flex of a plane curve en-keyword= flexes. kn-keyword= flexes. END start-ver=1.4 cd-journal=joma no-vol=43 cd-vols= no-issue=1 article-no= start-page=143 end-page=184 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Certain Metrics on R4+(II) en-subtitle= kn-subtitle= en-abstract= kn-abstract=

This paper is a continuation of the one with the same title([4]), in which we obtained a special solution for a system of differential equations on metric tensors on R4+ satisfying the Einstein condition for Case I generalizing the Ot-metric: in Theorem 1, and proved that there exist no solutions for Case II in Theorem 2. In this work, we shall show that we can obtain more general solutions for Case I which depend on the latitude parameter. We use the results in [4], so the section numbers start from 5. 1. Preliminaries and curvature tensor 2. Ricci tensor 3. Solutions for Case I 4. Analysis and a conclusion for Case II

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=43 cd-vols= no-issue=1 article-no= start-page=17 end-page=24 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Adjoint Orbit Types of Compact Exceptional Lie Group G2 in its Lie Algebra en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MiyasakaTakashi en-aut-sei=Miyasaka 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=Takatoh High School END start-ver=1.4 cd-journal=joma no-vol=43 cd-vols= no-issue=1 article-no= start-page=31 end-page=42 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Stable Module Theory with Kernels en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KatoKiriko en-aut-sei=Kato en-aut-mei=Kiriko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka Women’s University END start-ver=1.4 cd-journal=joma no-vol=29 cd-vols= no-issue=1 article-no= start-page=245 end-page=248 dt-received= dt-revised= dt-accepted= dt-pub-year=1987 dt-pub=198701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An extension of a theorem of D. Gromoll and J. A. Wolf en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=InnamiNobuhiro en-aut-sei=Innami en-aut-mei=Nobuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Nagoya Institute Of Technology END start-ver=1.4 cd-journal=joma no-vol=29 cd-vols= no-issue=1 article-no= start-page=153 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=1987 dt-pub=198701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Morita pairs of rings 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= affil-num=1 en-affil= kn-affil=University Of Hawaii END start-ver=1.4 cd-journal=joma no-vol=29 cd-vols= no-issue=1 article-no= start-page=91 end-page=102 dt-received= dt-revised= dt-accepted= dt-pub-year=1987 dt-pub=198701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Primitive elements of cyclic extensions of commutative rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KikumasaIsao en-aut-sei=Kikumasa en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=29 cd-vols= no-issue=1 article-no= start-page=103 end-page=107 dt-received= dt-revised= dt-accepted= dt-pub-year=1987 dt-pub=198701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On H-separable extensions in Azumaya algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OkamotoHiroaki en-aut-sei=Okamoto en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=IkehataShûichi en-aut-sei=Ikehata en-aut-mei=Shûichi 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=29 cd-vols= no-issue=1 article-no= start-page=167 end-page=171 dt-received= dt-revised= dt-accepted= dt-pub-year=1987 dt-pub=198701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the complement class to the torsion theory en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ShigenagaKazuo en-aut-sei=Shigenaga 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=Ube Technical College END start-ver=1.4 cd-journal=joma no-vol=29 cd-vols= no-issue=1 article-no= start-page=147 end-page=152 dt-received= dt-revised= dt-accepted= dt-pub-year=1987 dt-pub=198701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Closed ideals in non-unital matrix rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KyunoShoji en-aut-sei=Kyuno en-aut-mei=Shoji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SmithMi-Soo B. en-aut-sei=Smith en-aut-mei=Mi-Soo B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 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=3 ORCID= affil-num=1 en-affil= kn-affil=Tohoku Gakuin University affil-num=2 en-affil= kn-affil=Chaminade University Of Honolulu affil-num=3 en-affil= kn-affil=University Of Hawaii END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=1 end-page=19 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Categorical characterization of strict morphisms of fs log schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study a categorical characterization of strict morphisms of fs log schemes. In particular, we prove that strictness of morphisms of fs log schemes is preserved by an arbitrary equivalence of categories between suitable categories of fs log schemes. The main result of the present paper leads us to a relatively simple alternative proof of a result on a categorical representation of fs log schemes proved by S. Mochizuki. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakayamaChikara en-aut-sei=Nakayama en-aut-mei=Chikara kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= affil-num=2 en-affil=Department of Economics, Hitotsubashi University kn-affil= en-keyword=fs log scheme kn-keyword=fs log scheme en-keyword=strict morphism kn-keyword=strict morphism en-keyword=fs log point kn-keyword=fs log point END