start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue=1 article-no= start-page=85 end-page=89 dt-received= dt-revised= dt-accepted= dt-pub-year=1967 dt-pub=196701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Über den Fatouschen Satz (I) 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=29 cd-vols= no-issue=1 article-no= start-page=173 end-page=177 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=(σ, τ)-derivations in prime rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ArgaçNurcan en-aut-sei=Argaç en-aut-mei=Nurcan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KayaArif en-aut-sei=Kaya en-aut-mei=Arif kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KisirAlev en-aut-sei=Kisir en-aut-mei=Alev kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Ege University affil-num=2 en-affil= kn-affil=Ege University affil-num=3 en-affil= kn-affil=Ege University END start-ver=1.4 cd-journal=joma no-vol=14 cd-vols= no-issue=2 article-no= start-page=87 end-page=96 dt-received= dt-revised= dt-accepted= dt-pub-year=1970 dt-pub=197012 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=3-primary components of stable homotopies of CP^∞ en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AikawaTetsuya en-aut-sei=Aikawa en-aut-mei=Tetsuya 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=14 cd-vols= no-issue=2 article-no= start-page=129 end-page=134 dt-received= dt-revised= dt-accepted= dt-pub-year=1970 dt-pub=197012 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=3-primary components of stable homotopies of K(Z3,1) and HP^∞ en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AikawaTetsuya en-aut-sei=Aikawa en-aut-mei=Tetsuya 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=53 cd-vols= no-issue=1 article-no= start-page=167 end-page=172 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A CAUCHY-KOWALEVSKI THEOREM FOR INFRAMONOGENIC FUNCTIONS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper we prove a Cauchy-Kowalevski theorem for the functions satisfying the system ∂xf∂x = 0 (called inframonogenic functions). en-copyright= kn-copyright= en-aut-name=MalonekHelmuth R. en-aut-sei=Malonek en-aut-mei=Helmuth R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=PeñaDixan Peña en-aut-sei=Peña en-aut-mei=Dixan Peña kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SommenFrank en-aut-sei=Sommen en-aut-mei=Frank kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Aveiro University affil-num=2 en-affil= kn-affil=Department of Mathematics Aveiro University affil-num=3 en-affil= kn-affil=Department of Mathematical Analysis Ghent University en-keyword=Inframonogenic functions kn-keyword=Inframonogenic functions en-keyword=Cauchy-Kowalevski theorem kn-keyword=Cauchy-Kowalevski theorem END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=17 end-page=26 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A CHARACTERIZATION OF THE GLAUBERMAN-WATANABE CORRESPONDING BLOCKS AS BIMODULES en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give a characterization of the Glauberman-Watanabe corresponding blocks viewed as bimodules as a direct summand of a restricted or an induced module from the block in terms of a vertex and a multiplicity. en-copyright= kn-copyright= en-aut-name=TasakaFuminori en-aut-sei=Tasaka en-aut-mei=Fuminori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tsuruoka national college of technology en-keyword=finite group kn-keyword=finite group en-keyword=Glauberman-Watanabe correspondence kn-keyword=Glauberman-Watanabe correspondence END start-ver=1.4 cd-journal=joma no-vol=37 cd-vols= no-issue=1 article-no= start-page=55 end-page=58 dt-received= dt-revised= dt-accepted= dt-pub-year=1995 dt-pub=199501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Characterization of Anti-Integral Extensions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SatoJunro en-aut-sei=Sato en-aut-mei=Junro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OdaSusumu en-aut-sei=Oda en-aut-mei=Susumu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 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=3 ORCID= affil-num=1 en-affil= kn-affil=Osaka Junior College affil-num=2 en-affil= kn-affil=Matsusaka Commercial High School affil-num=3 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=61 end-page=66 dt-received= dt-revised= dt-accepted= dt-pub-year=2000 dt-pub=200001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Characterization of One Dimensional N-Graded Gorenstein Rings of Finite Cohen-Macaulay Representation Type en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ArayaTokuji en-aut-sei=Araya en-aut-mei=Tokuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= 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=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=52 cd-vols= no-issue=1 article-no= start-page=133 end-page=142 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A GENERAL INEQUALITY FOR DOUBLY WARPED PRODUCT SUBMANIFOLDS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=OlteanuAndreea en-aut-sei=Olteanu en-aut-mei=Andreea kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Faculty of Mathematics and Computer Science, University of Bucharest en-keyword=Doubly warped product kn-keyword=Doubly warped product en-keyword=Laplacian kn-keyword=Laplacian en-keyword=mean curvature kn-keyword=mean curvature en-keyword=generalized Sasakian space form kn-keyword=generalized Sasakian space form en-keyword=Sasakian space form kn-keyword=Sasakian space form en-keyword=C-totally real submanifold kn-keyword=C-totally real submanifold END start-ver=1.4 cd-journal=joma no-vol=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=41 cd-vols= no-issue=1 article-no= start-page=75 end-page=79 dt-received= dt-revised= dt-accepted= dt-pub-year=1999 dt-pub=199901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Generalization of the Dade's Theorem on Localization of Injective Modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HirataKazuhiko en-aut-sei=Hirata en-aut-mei=Kazuhiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SyuU en-aut-sei=Syu en-aut-mei=U kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science Chiba University affil-num=2 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=39 cd-vols= no-issue=1 article-no= start-page=113 end-page=133 dt-received= dt-revised= dt-accepted= dt-pub-year=1997 dt-pub=199701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Generalization of the Whitehead Product en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OdaNobuyuki en-aut-sei=Oda 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=Fukuoka University 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=40 cd-vols= no-issue=1 article-no= start-page=99 end-page=111 dt-received= dt-revised= dt-accepted= dt-pub-year=1998 dt-pub=199801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Generation of the Hopf Construction en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ShimizuToshiyuki en-aut-sei=Shimizu en-aut-mei=Toshiyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Fukuoka University END start-ver=1.4 cd-journal=joma no-vol=47 cd-vols= no-issue=1 article-no= start-page=141 end-page=146 dt-received= dt-revised= dt-accepted= dt-pub-year=2005 dt-pub=200501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Lower Bound for the LS Category of a Formal Elliptic Space en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=KotaniYasusuke en-aut-sei=Kotani en-aut-mei=Yasusuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YamaguchiToshihiro en-aut-sei=Yamaguchi en-aut-mei=Toshihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Kochi University affil-num=2 en-affil= kn-affil=Kochi University en-keyword=LS category kn-keyword=LS category en-keyword=rationally elliptic space kn-keyword=rationally elliptic space en-keyword=F0-space kn-keyword=F0-space en-keyword= formal. kn-keyword= formal. END 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=56 cd-vols= no-issue=1 article-no= start-page=75 end-page=89 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A MODEL FOR THE WHITEHEAD PRODUCT IN RATIONAL MAPPING SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=We describe the Whitehead products in the rational homo- topy group of a connected component of a mapping space in terms of the André-Quillen cohomology. As a consequence, an upper bound for the Whitehead length of a mapping space is given. en-copyright= kn-copyright= en-aut-name=NaitoTakahito en-aut-sei=Naito en-aut-mei=Takahito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematical Sciences, Faculty of Science, Shinshu University en-keyword=mapping space kn-keyword=mapping space en-keyword=Whitehead product kn-keyword=Whitehead product en-keyword=rational homotopy theory kn-keyword=rational homotopy theory END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=95 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A MODEL STRUCTURE ON THE CATEGORY OF SMALL CATEGORIES FOR COVERINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=We consider a model structure on the category of small categories, which is intimately related to the notion of coverings and fundamental groups of small categories. Fibrant objects coincide with groupoids, and the fibrant replacement is the groupoidification. en-copyright= kn-copyright= en-aut-name=TanakaKohei en-aut-sei=Tanaka en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Faculty of Science Shinshu University en-keyword=model categories kn-keyword=model categories en-keyword=small categories kn-keyword=small categories en-keyword=coverings kn-keyword=coverings END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=101 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A NOTE ON ALMOST INJECTIVE MODULES en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=AlahmadiAdel en-aut-sei=Alahmadi en-aut-mei=Adel kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=JainSurender K. en-aut-sei=Jain en-aut-mei=Surender K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Ohio University affil-num=2 en-affil= kn-affil=Department of Mathematics, Ohio University END start-ver=1.4 cd-journal=joma no-vol=51 cd-vols= no-issue=1 article-no= start-page=193 end-page=201 dt-received= dt-revised= dt-accepted= dt-pub-year=2009 dt-pub=200901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A NOTE ON CERTAIN METRICS ON R4+ en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OtsukiTominosuke en-aut-sei=Otsuki en-aut-mei=Tominosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=89 end-page=95 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A NOTE ON QUASI-ARMENDARIZ RINGS en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=ZhongkuiLiu en-aut-sei=Zhongkui en-aut-mei=Liu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=WenhuiZhang en-aut-sei=Wenhui en-aut-mei=Zhang kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Northwest Normal University affil-num=2 en-affil= kn-affil=Department of Mathematics, Northwest Normal University en-keyword=Armendariz ring kn-keyword=Armendariz ring en-keyword=quasi-Armendariz ring kn-keyword=quasi-Armendariz ring en-keyword=left APP-ring kn-keyword=left APP-ring END start-ver=1.4 cd-journal=joma no-vol=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=48 cd-vols= no-issue=1 article-no= start-page=173 end-page=180 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A New Generalization of the Poisson Kernel en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=BulutSerap en-aut-sei=Bulut en-aut-mei=Serap kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Balikesir University en-keyword=Poisson Kernel kn-keyword=Poisson Kernel en-keyword=Integral Formula kn-keyword=Integral Formula END start-ver=1.4 cd-journal=joma no-vol=37 cd-vols= no-issue=1 article-no= start-page=137 end-page=151 dt-received= dt-revised= dt-accepted= dt-pub-year=1995 dt-pub=199501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Non-immersion Result for Lens Spaces Ln(2m) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=JunodBernard en-aut-sei=Junod en-aut-mei=Bernard kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Université De Neuchâtel END start-ver=1.4 cd-journal=joma no-vol=32 cd-vols= no-issue=1 article-no= start-page=7 end-page=11 dt-received= dt-revised= dt-accepted= dt-pub-year=1990 dt-pub=199001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Anderson-Anderson-Johnson Questions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MatsudaRyuki en-aut-sei=Matsuda en-aut-mei=Ryuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Ibaraki University END start-ver=1.4 cd-journal=joma no-vol=46 cd-vols= no-issue=1 article-no= start-page=121 end-page=130 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Commutative Gelfand Theory for Real Banach Algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=TakahashiSin-Ei en-aut-sei=Takahashi en-aut-mei=Sin-Ei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MiuraTakeshi en-aut-sei=Miura en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=HatoriOsamu en-aut-sei=Hatori en-aut-mei=Osamu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Yamagata University affil-num=2 en-affil= kn-affil=Yamagata University affil-num=3 en-affil= kn-affil=Niigata University, Niigata en-keyword=real commutative Banach algebras kn-keyword=real commutative Banach algebras en-keyword=real algebra homomorphisms kn-keyword=real algebra homomorphisms en-keyword= commutative Gelfand theory. kn-keyword= commutative Gelfand theory. END start-ver=1.4 cd-journal=joma no-vol=32 cd-vols= no-issue=1 article-no= start-page=83 end-page=88 dt-received= dt-revised= dt-accepted= dt-pub-year=1990 dt-pub=199001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Derivations en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=BrešarMatej en-aut-sei=Brešar en-aut-mei=Matej kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Ljubljana END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=117 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Fields Generated by Jacobi Sums en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study fields generated by Jacobi sums. In particular, we completely determine the field obtained by adjoining, to the field of rational numbers, all of the Jacobi sums “of two variables” with respect to a fixed maximal ideal of the ring of integers of a fixed prime-power cyclotomic field. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= en-keyword=Jacobi sum kn-keyword=Jacobi sum END start-ver=1.4 cd-journal=joma no-vol=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=45 cd-vols= no-issue=1 article-no= start-page=145 end-page=162 dt-received= dt-revised= dt-accepted= dt-pub-year=2003 dt-pub=200301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Geodesics and Curvatures of Certain 4-spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=

This work is a continuation of the papers [3] and [4], in which we studied the metrics (1.1) and (1.2) on R4+. The metric (1.1) with a = 0: ds2 = dx1dx1 + dx2dx2 + dx3dx3 − dx4dx4 x4x4 is analogous to the metric of the hyperbolic 4-space. We considered fundamentally metrics on R4+ based on this hyperbolic type metric, not Euclidean or Minkowsky types.

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=41 cd-vols= no-issue=1 article-no= start-page=15 end-page=19 dt-received= dt-revised= dt-accepted= dt-pub-year=1999 dt-pub=199901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Osofsky-Smith Theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ZhongkuiLiu en-aut-sei=Zhongkui en-aut-mei=Liu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Northwest Normal University END start-ver=1.4 cd-journal=joma no-vol=47 cd-vols= no-issue=1 article-no= start-page=159 end-page=162 dt-received= dt-revised= dt-accepted= dt-pub-year=2005 dt-pub=200501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Quotients of Orthogonal Groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We discuss the mod 2 cohomology of the quotient of a compact classical Lie group by its maximal 2-torus. In particular, the case of the orthogonal group is treated. The case of the spinor group is not included.

en-copyright= kn-copyright= en-aut-name=OhsitaAkihiro en-aut-sei=Ohsita en-aut-mei=Akihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka University of Economics en-keyword=Lie group kn-keyword=Lie group en-keyword=cohomology kn-keyword=cohomology en-keyword=2-torsion kn-keyword=2-torsion en-keyword= 2-root. kn-keyword= 2-root. END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=1 end-page=11 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Torsion Points on Ample Divisors on Abelian Varieties en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we consider torsion points on ample divisors on abelian varieties. We prove that, for each integer n ≤ 2, an effective divisor of level n on an abelian variety does not contain the subgroup of n-torsion points. Moreover, we also discuss an application of this result to the study of the p-rank of cyclic coverings of curves in positive characteristic. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= en-keyword=abelian variety kn-keyword=abelian variety en-keyword=torsion point kn-keyword=torsion point en-keyword=curve kn-keyword=curve en-keyword=p-rank kn-keyword=p-rank END start-ver=1.4 cd-journal=joma no-vol=32 cd-vols= no-issue=1 article-no= start-page=73 end-page=76 dt-received= dt-revised= dt-accepted= dt-pub-year=1990 dt-pub=199001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Zero Commutative and Duo Rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HabebJebrel M. en-aut-sei=Habeb en-aut-mei=Jebrel M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Yarmouk University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=153 end-page=160 dt-received= dt-revised= dt-accepted= dt-pub-year=2000 dt-pub=200001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on the Degenerate Morse Inequalities en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Witten. The max-min methods are used to estimate the number of ‘small’ eigenvalues of Witten’s deformed Laplacian.

en-copyright= kn-copyright= en-aut-name=JianweiZhou en-aut-sei=Jianwei en-aut-mei=Zhou kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Suzhou University en-keyword=Critical submanifold kn-keyword=Critical submanifold en-keyword=Elliptic operator kn-keyword=Elliptic operator en-keyword=Eigenvalue kn-keyword=Eigenvalue en-keyword=Cohomology group kn-keyword=Cohomology group en-keyword= Morse inequalities. kn-keyword= Morse inequalities. 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=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=40 cd-vols= no-issue=1 article-no= start-page=39 end-page=43 dt-received= dt-revised= dt-accepted= dt-pub-year=1998 dt-pub=199801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Remark on Localization of Injective Modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SyuU en-aut-sei=Syu en-aut-mei=U kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Chiba University 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=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=46 cd-vols= no-issue=1 article-no= start-page=131 end-page=140 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=200401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Study of Fq-Functions Connected with Ramanujan's Tenth Order Mock Theta Functions en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=SrivastavaBhaskar en-aut-sei=Srivastava en-aut-mei=Bhaskar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Lucknow University en-keyword=q-Bibasic Hypergeometric Series kn-keyword=q-Bibasic Hypergeometric Series en-keyword= Multibasic Series. kn-keyword= Multibasic Series. END start-ver=1.4 cd-journal=joma no-vol=32 cd-vols= no-issue=1 article-no= start-page=147 end-page=151 dt-received= dt-revised= dt-accepted= dt-pub-year=1990 dt-pub=199001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Theorem on Radicals in Functor Categories with Application to Torsion Theories en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MushengYao en-aut-sei=Musheng en-aut-mei=Yao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Fudan University END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=221 end-page=231 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A binomial-coefficient identity arising from the middle discrete series of SU(2,2) en-subtitle= kn-subtitle= en-abstract= kn-abstract=The aim of this paper is to answer the question in Remark 8.2 of Takahiro Hayata, Harutaka Koseki, and Takayuki Oda, Matrix coefficients of the middle discrete series of SU(2; 2), J. Funct. Anal. 185 (2001), 297{341, by giving an elementary proof of certain identities on binomials. en-copyright= kn-copyright= en-aut-name=HayataTakahiro en-aut-sei=Hayata en-aut-mei=Takahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=IshikawaMasao en-aut-sei=Ishikawa en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Science and Engineering, Yamagata University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=binomial-coefficient identity kn-keyword=binomial-coefficient identity en-keyword=middle discrete series kn-keyword=middle discrete series en-keyword= real semi-simple Lie groups. kn-keyword= real semi-simple Lie groups. END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=2 article-no= start-page=137 end-page=152 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A certain type of commutative Hopf Galois extensions and their groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=27 cd-vols= no-issue=1 article-no= start-page=33 end-page=34 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=A characterization of boolean rings (III) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HiranoYasuyuki en-aut-sei=Hirano en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=1 end-page=5 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A characterization of quadratic residue codes en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ItoNoboru en-aut-sei=Ito en-aut-mei=Noboru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Konan University END start-ver=1.4 cd-journal=joma no-vol=14 cd-vols= no-issue=1 article-no= start-page=35 end-page=36 dt-received= dt-revised= dt-accepted= dt-pub-year=1969 dt-pub=196911 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A characterization of quaternion algebras 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=65 cd-vols= no-issue=1 article-no= start-page=1 end-page=22 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A characterization of the class of Harada rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=There are many characterizations of Harada rings. In this paper, we characterize right co-Harada rings by giving a characterization of the class of basic right co-Harada rings. en-copyright= kn-copyright= en-aut-name=KoikeKazutoshi en-aut-sei=Koike en-aut-mei=Kazutoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=National Institute of Technology, Okinawa College kn-affil= en-keyword=Harada rings kn-keyword=Harada rings en-keyword=QF rings kn-keyword=QF rings END start-ver=1.4 cd-journal=joma no-vol=23 cd-vols= no-issue=2 article-no= start-page=117 end-page=124 dt-received= dt-revised= dt-accepted= dt-pub-year=1981 dt-pub=198112 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A classification of abelian extensions of rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FerreroMiguel en-aut-sei=Ferrero en-aut-mei=Miguel kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KishimotoKazuo en-aut-sei=Kishimoto en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Universidade Federal do Rio Grande do Sul affil-num=2 en-affil= kn-affil=Shinshu University END start-ver=1.4 cd-journal=joma no-vol=19 cd-vols= no-issue=2 article-no= start-page=163 end-page=169 dt-received= dt-revised= dt-accepted= dt-pub-year=1977 dt-pub=197706 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A classification of free extensions of rings of a automorphism type and derivation type 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=18 cd-vols= no-issue=2 article-no= start-page=139 end-page=148 dt-received= dt-revised= dt-accepted= dt-pub-year=1976 dt-pub=197606 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A classification of free quadratic 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=66 cd-vols= no-issue=1 article-no= start-page=115 end-page=124 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A combinatorial integration on the Cantor dust en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we generalize the Cantor function to 2-dimensional cubes and construct a cyclic 2-cocycle on the Cantor dust. This cocycle is non-trivial on the pullback of the smooth functions on the 2-dimensional torus with the generalized Cantor function while it vanishes on the Lipschitz functions on the Cantor dust. The cocycle is calculated through the integration of 2-forms on the torus by using a combinatorial Fredholm module. en-copyright= kn-copyright= en-aut-name=MaruyamaTakashi en-aut-sei=Maruyama en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SetoTatsuki en-aut-sei=Seto en-aut-mei=Tatsuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Engineering, Stanford University kn-affil= affil-num=2 en-affil=General Education and Research Center, Meiji Pharmaceutical University kn-affil= en-keyword=Fredholm module kn-keyword=Fredholm module en-keyword=Cantor dust kn-keyword=Cantor dust en-keyword=cyclic cocycle kn-keyword=cyclic cocycle END start-ver=1.4 cd-journal=joma no-vol=26 cd-vols= no-issue=1 article-no= start-page=125 end-page=128 dt-received= dt-revised= dt-accepted= dt-pub-year=1984 dt-pub=198401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A commutativity theorem for one-sided s-unital 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= en-aut-name=YaqubAdil en-aut-sei=Yaqub en-aut-mei=Adil 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=University of California END start-ver=1.4 cd-journal=joma no-vol=22 cd-vols= no-issue=2 article-no= start-page=107 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198012 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A commutativity theorem for rings with constraints involving an additive subsemigroup. II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=Abu-KhuzamHazar en-aut-sei=Abu-Khuzam en-aut-mei=Hazar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YaqubAdil en-aut-sei=Yaqub en-aut-mei=Adil kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=University Of Petroleum And Minerals affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=University Of California END start-ver=1.4 cd-journal=joma no-vol=26 cd-vols= no-issue=1 article-no= start-page=109 end-page=111 dt-received= dt-revised= dt-accepted= dt-pub-year=1984 dt-pub=198401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A commutativity theorem 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= affil-num=1 en-affil= kn-affil=Osaka City University END start-ver=1.4 cd-journal=joma no-vol=21 cd-vols= no-issue=1 article-no= start-page=11 end-page=14 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=197906 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A commutativity theorem for s-unital rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HonganMotoshi en-aut-sei=Hongan en-aut-mei=Motoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= 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=Tsuyama College affil-num=2 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=25 cd-vols= no-issue=1 article-no= start-page=19 end-page=22 dt-received= dt-revised= dt-accepted= dt-pub-year=1983 dt-pub=198306 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A commutativity theorem for s-unital rings. II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HonganMotoshi en-aut-sei=Hongan en-aut-mei=Motoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tsuyama College Of Technology END start-ver=1.4 cd-journal=joma no-vol=30 cd-vols= no-issue=1 article-no= start-page=41 end-page=44 dt-received= dt-revised= dt-accepted= dt-pub-year=1988 dt-pub=198801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A commutativity theorem for semiprime rings with constraints involving a derivation en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TrzepizurAndrzej en-aut-sei=Trzepizur en-aut-mei=Andrzej kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Jagellonian University END start-ver=1.4 cd-journal=joma no-vol=7 cd-vols= no-issue=2 article-no= start-page=123 end-page=149 dt-received= dt-revised= dt-accepted= dt-pub-year=1957 dt-pub=195712 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A condition that a space is group-like 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=24 cd-vols= no-issue=2 article-no= start-page=157 end-page=165 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A construction of spaces with general connections which have points swallowing geodesics en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OtsukiTominosuke en-aut-sei=Otsuki en-aut-mei=Tominosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Science University of Tokyo END start-ver=1.4 cd-journal=joma no-vol=12 cd-vols= no-issue=2 article-no= start-page=91 end-page=105 dt-received= dt-revised= dt-accepted= dt-pub-year=1966 dt-pub=196610 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A fixpoint theorem on Sp(n)/U(n) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MaebashiToshiyuki en-aut-sei=Maebashi en-aut-mei=Toshiyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=33 cd-vols= no-issue=1 article-no= start-page=97 end-page=101 dt-received= dt-revised= dt-accepted= dt-pub-year=1991 dt-pub=199101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A generalization of a theorem of Posner en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HonganMotoshi en-aut-sei=Hongan en-aut-mei=Motoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tsuyama College Of Technology END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=129 end-page=139 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems en-subtitle= kn-subtitle= en-abstract= kn-abstract= We prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function. en-copyright= kn-copyright= en-aut-name=ShimenoNobukazu en-aut-sei=Shimeno en-aut-mei=Nobukazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=School of Science and Technology Kwansei Gakuin University kn-affil= en-keyword=root system kn-keyword=root system en-keyword=hypergeometric function kn-keyword=hypergeometric function en-keyword=Whittaker function kn-keyword=Whittaker function END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=137 end-page=153 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A non-symmetric diffusion process on the Wiener space en-subtitle= kn-subtitle= en-abstract= kn-abstract=We discuss a non-symmetric diffusion process on the Wiener space. The process we consider is generated by A = L + b, L being the Ornstein-Uhlenbeck operator and b being a vector �eld. Under suitable integrability condition for b, we show the existence of associated diffusion process. We also investigate the domain of the generator. Further we consider a similar problem in the �nite dimensional Euclidean space. en-copyright= kn-copyright= en-aut-name=ShigekawaIchiro en-aut-sei=Shigekawa en-aut-mei=Ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Graduate School of Science Kyoto University kn-affil= en-keyword=non-symmetric Dirichlet form kn-keyword=non-symmetric Dirichlet form en-keyword=Wiener space kn-keyword=Wiener space en-keyword=logarithmic Sobolev inequality kn-keyword=logarithmic Sobolev inequality en-keyword=generator domain kn-keyword=generator domain END start-ver=1.4 cd-journal=joma no-vol=33 cd-vols= no-issue=1 article-no= start-page=163 end-page=176 dt-received= dt-revised= dt-accepted= dt-pub-year=1991 dt-pub=199101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on E(HPn) for n≤4 en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IwaseNorio en-aut-sei=Iwase en-aut-mei=Norio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MaruyamaKen-Ichi en-aut-sei=Maruyama en-aut-mei=Ken-Ichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=OkaShichiro en-aut-sei=Oka en-aut-mei=Shichiro 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=Chiba University END start-ver=1.4 cd-journal=joma no-vol=7 cd-vols= no-issue=2 article-no= start-page=179 end-page=183 dt-received= dt-revised= dt-accepted= dt-pub-year=1957 dt-pub=195712 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on Galois extensions of division 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=Osaka University END start-ver=1.4 cd-journal=joma no-vol=16 cd-vols= no-issue=1 article-no= start-page=11 end-page=16 dt-received= dt-revised= dt-accepted= dt-pub-year=1973 dt-pub=197309 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on Galois theory 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= affil-num=1 en-affil= kn-affil=Universidad de Rosario END start-ver=1.4 cd-journal=joma no-vol=7 cd-vols= no-issue=1 article-no= start-page=83 end-page=88 dt-received= dt-revised= dt-accepted= dt-pub-year=1957 dt-pub=195707 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on Galois theory of division rings 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= 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=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=117 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on Galois theory of primary rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=19 cd-vols= no-issue=2 article-no= start-page=121 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=1977 dt-pub=197706 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on Morita equivalence of polynomial rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ChibaKatsuo en-aut-sei=Chiba en-aut-mei=Katsuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Hokkaido University END start-ver=1.4 cd-journal=joma no-vol=14 cd-vols= no-issue=1 article-no= start-page=17 end-page=21 dt-received= dt-revised= dt-accepted= dt-pub-year=1969 dt-pub=196911 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on Schauder basis en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KatsumataOsamu en-aut-sei=Katsumata 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=Okayama University END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=215 end-page=225 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on a Hecke ring associated with the Heisenberg Lie algebra en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper focuses on the theory of the Hecke rings associated with the general linear groups originally studied by Hecke and Shimura et al., and moreover generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory. en-copyright= kn-copyright= en-aut-name=HyodoFumitake en-aut-sei=Hyodo en-aut-mei=Fumitake kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Health Informatics Faculty of Health and Welfare Services Administration Kawasaki University of Medical Welfare kn-affil= en-keyword=Hecke rings kn-keyword=Hecke rings en-keyword=noncommutative rings kn-keyword=noncommutative rings END start-ver=1.4 cd-journal=joma no-vol=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=23 cd-vols= no-issue=2 article-no= start-page=115 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=1981 dt-pub=198112 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on commutative separable algebras. II 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=WangStuart Sui-Sheng en-aut-sei=Wang en-aut-mei=Stuart Sui-Sheng kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=University of Tennessee affil-num=2 en-affil= kn-affil=Oakland University END start-ver=1.4 cd-journal=joma no-vol=22 cd-vols= no-issue=1 article-no= start-page=1 end-page=3 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on commutative separable algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=WangStuart Sui-Sheng en-aut-sei=Wang en-aut-mei=Stuart Sui-Sheng kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=23 cd-vols= no-issue=2 article-no= start-page=141 end-page=145 dt-received= dt-revised= dt-accepted= dt-pub-year=1981 dt-pub=198112 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on commutativity of rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KobayashiYuji en-aut-sei=Kobayashi en-aut-mei=Yuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokushima University END start-ver=1.4 cd-journal=joma no-vol=7 cd-vols= no-issue=1 article-no= start-page=75 end-page=76 dt-received= dt-revised= dt-accepted= dt-pub-year=1957 dt-pub=195707 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on conjugates 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=9 cd-vols= no-issue=1 article-no= start-page=1 end-page=3 dt-received= dt-revised= dt-accepted= dt-pub-year=1959 dt-pub=195912 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on conjugates II 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=13 cd-vols= no-issue=2 article-no= start-page=107 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=1968 dt-pub=196811 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on group rings of p-groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= 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=23 cd-vols= no-issue=1 article-no= start-page=1 end-page=5 dt-received= dt-revised= dt-accepted= dt-pub-year=1981 dt-pub=198106 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on isomorphism invariants of a modular group algebra en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FurukawaTôru en-aut-sei=Furukawa en-aut-mei=Tôru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=4 cd-vols= no-issue=2 article-no= start-page=189 end-page=191 dt-received= dt-revised= dt-accepted= dt-pub-year=1955 dt-pub=195503 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on matrix 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=14 cd-vols= no-issue=1 article-no= start-page=1 end-page=5 dt-received= dt-revised= dt-accepted= dt-pub-year=1969 dt-pub=196911 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on nets en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=PfefferW. E. en-aut-sei=Pfeffer en-aut-mei=W. E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of California, Berkeley END start-ver=1.4 cd-journal=joma no-vol=14 cd-vols= no-issue=1 article-no= start-page=27 end-page=28 dt-received= dt-revised= dt-accepted= dt-pub-year=1969 dt-pub=196911 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on normal basis elements 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=63 cd-vols= no-issue=1 article-no= start-page=107 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on products in stable homotopy groups of spheres via the classical Adams spectral sequence en-subtitle= kn-subtitle= en-abstract= kn-abstract=In recent years, Liu and his collaborators found many non-trivial products of generators in the homotopy groups of the sphere spectrum. In this paper, we show a result which not only implies most of their results, but also extends a result of theirs. en-copyright= kn-copyright= en-aut-name=KatoRyo en-aut-sei=Kato en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Shimomurakatsumi en-aut-sei=Shimomura en-aut-mei=katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Faculty of Fundamental Science, National Institute of Technology, Niihama College kn-affil= affil-num=2 en-affil=Department of Mathematics, faculty of Science and Technology, Kochi University kn-affil= en-keyword=Stable homotopy of spheres kn-keyword=Stable homotopy of spheres en-keyword=Adams spectral sequence kn-keyword=Adams spectral sequence en-keyword=May spectral sequence kn-keyword=May spectral sequence END start-ver=1.4 cd-journal=joma no-vol=15 cd-vols= no-issue=2 article-no= start-page=141 end-page=147 dt-received= dt-revised= dt-accepted= dt-pub-year=1972 dt-pub=197210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on quotient rings over Frobenius extensions 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=Hokkaido University END start-ver=1.4 cd-journal=joma no-vol=18 cd-vols= no-issue=1 article-no= start-page=57 end-page=67 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197512 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on quotient rings over a quasi-Frobenius extension en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KitamuraYoshimi en-aut-sei=Kitamura en-aut-mei=Yoshimi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokyo Gakugei University END start-ver=1.4 cd-journal=joma no-vol=14 cd-vols= no-issue=1 article-no= start-page=13 end-page=15 dt-received= dt-revised= dt-accepted= dt-pub-year=1969 dt-pub=196911 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on separable extensions of commutative rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HonganMotoshi en-aut-sei=Hongan en-aut-mei=Motoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= 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=22 cd-vols= no-issue=1 article-no= start-page=59 end-page=60 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on separable polynomials in skew polynomial rings of derivation type en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IkehataShûichi en-aut-sei=Ikehata en-aut-mei=Shûichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=22 cd-vols= no-issue=1 article-no= start-page=73 end-page=76 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on separable polynomials in skew polynomial rings of automorphism type en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue=2 article-no= start-page=183 end-page=198 dt-received= dt-revised= dt-accepted= dt-pub-year=1968 dt-pub=196811 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on the differential equations with relay-hysteresis en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YorinagaMasataka en-aut-sei=Yorinaga en-aut-mei=Masataka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=27 cd-vols= no-issue=1 article-no= start-page=159 end-page=171 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=A note on the number of prime factors of integers in short intervals en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YamanoGosuke en-aut-sei=Yamano en-aut-mei=Gosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kanazawa Institute of Technology END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue=2 article-no= start-page=175 end-page=182 dt-received= dt-revised= dt-accepted= dt-pub-year=1968 dt-pub=196811 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on uniform integrability en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KoshiShozo en-aut-sei=Koshi en-aut-mei=Shozo 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=30 cd-vols= no-issue=1 article-no= start-page=1 end-page=4 dt-received= dt-revised= dt-accepted= dt-pub-year=1988 dt-pub=198801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on universally going-down 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= affil-num=1 en-affil= kn-affil=University of Tennessee END start-ver=1.4 cd-journal=joma no-vol=14 cd-vols= no-issue=1 article-no= start-page=59 end-page=67 dt-received= dt-revised= dt-accepted= dt-pub-year=1969 dt-pub=196911 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A radical and a subcategory in an exact category en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=14 cd-vols= no-issue=1 article-no= start-page=29 end-page=33 dt-received= dt-revised= dt-accepted= dt-pub-year=1969 dt-pub=196911 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on Lyapunov-Halmos-Blackwell's convexity theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KoshiShozo en-aut-sei=Koshi en-aut-mei=Shozo 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=60 cd-vols= no-issue=1 article-no= start-page=109 end-page=135 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on a central limit theorem for non-symmetric random walks on crystal lattices en-subtitle= kn-subtitle= en-abstract= kn-abstract=Recently, Ishiwata, Kawabi and Kotani [4] proved two kinds of central limit theorems for non-symmetric random walks on crystal lattices from the view point of discrete geometric analysis developed by Kotani and Sunada. In the present paper, we establish yet another kind of the central limit theorem for them. Our argument is based on a measure-change technique due to Alexopoulos [1]. en-copyright= kn-copyright= en-aut-name=NambaRyuya en-aut-sei=Namba en-aut-mei=Ryuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Natural Sciences, Okayama University kn-affil= en-keyword=crystal lattice kn-keyword=crystal lattice en-keyword=central limit theorem kn-keyword=central limit theorem en-keyword=non-symmetric random walk kn-keyword=non-symmetric random walk en-keyword=(modi�ed) harmonic realization kn-keyword=(modi�ed) harmonic realization END start-ver=1.4 cd-journal=joma no-vol=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=28 cd-vols= no-issue=1 article-no= start-page=159 end-page=163 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on the ergodic Hilbert transform en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SatoRyotaro en-aut-sei=Sato en-aut-mei=Ryotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=1 end-page=25 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A representation for algebraic K-theory of quasi-coherent modules over affine spectral schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract= In this paper, we study K-theory of spectral schemes by using locally free sheaves. Let us regard the K-theory as a functor K on affine spectral schemes. Then, we prove that the group completion ΩBG(BGGL) represents the sheafification of K with respect to Zariski (resp. Nisnevich) topology G, where BGGL is a classifying space of a colimit of affine spectral schemes GLn. en-copyright= kn-copyright= en-aut-name=OharaMariko en-aut-sei=Ohara en-aut-mei=Mariko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences Shinshu University kn-affil= en-keyword=Infinity category kn-keyword=Infinity category en-keyword=Derived algebraic geometry kn-keyword=Derived algebraic geometry en-keyword= K-theory kn-keyword= K-theory END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=61 end-page=64 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A ring topology based on submodules over an Asano order of a ring en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MurataKentaro en-aut-sei=Murata en-aut-mei=Kentaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokuyama University END start-ver=1.4 cd-journal=joma no-vol=25 cd-vols= no-issue=2 article-no= start-page=123 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=1983 dt-pub=198312 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A simple proof of a theorem on abelian regular right ideals en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HiranoYasuyuki en-aut-sei=Hirano en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=21 cd-vols= no-issue=2 article-no= start-page=115 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=197912 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A study on Artinian 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= en-aut-name=MuraseIchiro en-aut-sei=Murase en-aut-mei=Ichiro 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=Japan Women's University END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=125 end-page=133 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A subclass of strongly close-to-convex functions associated with Janowski function en-subtitle= kn-subtitle= en-abstract= kn-abstract=The aim of this paper is to introduce a new subclass of strongly close-to-convex functions by subordinating to Janowski function. Certain properties such as coefficient estimates, distortion theorem, argument theorem, inclusion relations and radius of convexity are established for this class. The results obtained here will generalize various earlier known results. en-copyright= kn-copyright= en-aut-name=SinghGagandeep en-aut-sei=Singh en-aut-mei=Gagandeep kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SinghGurcharanjit en-aut-sei=Singh en-aut-mei=Gurcharanjit kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Khalsa College kn-affil= affil-num=2 en-affil=Department of Mathematics, G.N.D.U. College kn-affil= en-keyword=Analytic functions kn-keyword=Analytic functions en-keyword=Subordination kn-keyword=Subordination en-keyword=Janowski-type function kn-keyword=Janowski-type function en-keyword=Close-to-convex functions kn-keyword=Close-to-convex functions en-keyword=Distortion theorem kn-keyword=Distortion theorem en-keyword=Argument theorem kn-keyword=Argument theorem en-keyword=Coefficient bounds kn-keyword=Coefficient bounds END start-ver=1.4 cd-journal=joma no-vol=19 cd-vols= no-issue=1 article-no= start-page=1 end-page=4 dt-received= dt-revised= dt-accepted= dt-pub-year=1976 dt-pub=197612 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A technique of numerical production of a sequence of pseudo-prime numbers en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YorinagaMasataka en-aut-sei=Yorinaga en-aut-mei=Masataka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=9 cd-vols= no-issue=1 article-no= start-page=9 end-page=12 dt-received= dt-revised= dt-accepted= dt-pub-year=1959 dt-pub=195912 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A theorem on 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=Hokkaido University END start-ver=1.4 cd-journal=joma no-vol=27 cd-vols= no-issue=1 article-no= start-page=11 end-page=12 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=A theorem on semi-centralizing derivations of prime rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KayaArif en-aut-sei=Kaya en-aut-mei=Arif kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Ege University END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=87 end-page=105 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A weak Euler formula for l-adic Galois double zeta values en-subtitle= kn-subtitle= en-abstract= kn-abstract=The fact that the double zeta values ζ(n, m) can be written in terms of zeta values, whenever n+m is odd is attributed to Euler. We shall show the weak version of this result for the l-adic Galois realization. en-copyright= kn-copyright= en-aut-name=ZdzisławWojtkowiak en-aut-sei=Zdzisław en-aut-mei=Wojtkowiak kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Université de Nice-Sophia Antipolis, Déartement de Math ématiques Laboratoire Jean Alexandre Dieudonné kn-affil= en-keyword=multiple zeta values kn-keyword=multiple zeta values en-keyword=Galois groups kn-keyword=Galois groups en-keyword=fundamental groups kn-keyword=fundamental groups END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=129 end-page=154 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ABSTRACT LOCAL COHOMOLOGY FUNCTORS en-subtitle= kn-subtitle= en-abstract= kn-abstract=We propose to define the notion of abstract local cohomology functors. The ordinary local cohomology functor RΓI with support in the closed subset defined by an ideal I and the generalized local cohomology functor RΓI,J defined in [16] are characterized as elements of the set of all the abstract local cohomology functors. en-copyright= kn-copyright= en-aut-name=YoshinoYuji en-aut-sei=Yoshino en-aut-mei=Yuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YoshizawaTakeshi en-aut-sei=Yoshizawa en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Natural Science and Technology Okayama University affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology Okayama University en-keyword=local cohomology kn-keyword=local cohomology en-keyword=stable t-structure kn-keyword=stable t-structure END start-ver=1.4 cd-journal=joma no-vol=55 cd-vols= no-issue=1 article-no= start-page=167 end-page=190 dt-received= dt-revised= dt-accepted= dt-pub-year=2013 dt-pub=201301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=AN ALGEBRAIC APPROACH TO THE CAMERON-MARTIN-MARUYAMA-GIRSANOV FORMULA en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we will give a new perspective to the Cameron- Martin-Maruyama-Girsanov formula by giving a totally algebraic proof to it. It is based on the exponentiation of the Malliavin-type differenti- ation and its adjointness. en-copyright= kn-copyright= en-aut-name=AkahoriJirô en-aut-sei=Akahori en-aut-mei=Jirô kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AmabaTakafumi en-aut-sei=Amaba en-aut-mei=Takafumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=UraguchiSachiyo en-aut-sei=Uraguchi en-aut-mei=Sachiyo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Ritsumeikan University affil-num=2 en-affil= kn-affil=Ritsumeikan University affil-num=3 en-affil= kn-affil=Mitsubishi Tokyo UFJ Bank END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=129 end-page=148 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=AN EXPLICIT EFFECT OF NON-SYMMETRY OF RANDOM WALKS ON THE TRIANGULAR LATTICE en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study an explicit effect of non-symmetry on asymptotics of the n-step transition probability as n → ∞ for a class of non-symmetric random walks on the triangular lattice. Realizing the triangular lattice into R2 appropriately, we observe that the Euclidean distance in R2 naturally appears in the asymptotics. We characterize this realization from a geometric view point of Kotani-Sunada’s standard realization of crystal lattices. As a corollary of the main theorem, we obtain that the transition semigroup generated by the non-symmetric random walk approximates the heat semigroup generated by the usual Brownian motion on R2. en-copyright= kn-copyright= en-aut-name=IshiwataSatoshi en-aut-sei=Ishiwata en-aut-mei=Satoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KawabiHiroshi en-aut-sei=Kawabi en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TeruyaTsubasa en-aut-sei=Teruya en-aut-mei=Tsubasa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematical Sciences, Faculty of Science Yamagata University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science Okayama University affil-num=3 en-affil= kn-affil=The Okinawa Kaiho Bank, Ltd. en-keyword=Non-symmetric random walk kn-keyword=Non-symmetric random walk en-keyword=asymptotic expansion kn-keyword=asymptotic expansion en-keyword=triangular lattice kn-keyword=triangular lattice en-keyword=standard realization kn-keyword=standard realization END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=155 end-page=165 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=AN EXPLICIT PSp4(3)-POLYNOMIAL WITH 3 PARAMETERS OF DEGREE 40 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We will give an explicit polynomial over ℚ with 3 parameters of degree 40 as a result of the inverse Galois problem. Its Galois group over ℚ (resp. ℚ(√-3)) is isomorphic to PGSp4(3) (resp. PSp4(3)) and it is a regular PSp4(3)-polynomial over ℚ(p√−3). To construct the polynomial and prove its properties above we use some results of Siegel modular forms and permutation group theory. en-copyright= kn-copyright= en-aut-name=KitayamaHidetaka en-aut-sei=Kitayama en-aut-mei=Hidetaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Graduate School of Science, Osaka University en-keyword=inverse Galois problem kn-keyword=inverse Galois problem en-keyword=explicit polynomials kn-keyword=explicit polynomials en-keyword=Siegel modular forms kn-keyword=Siegel modular forms END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=1 end-page=28 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ARITHMETIC ELLIPTIC CURVES IN GENERAL POSITION en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=MochizukiShinichi en-aut-sei=Mochizuki en-aut-mei=Shinichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Research Institute for Mathematical Sciences Kyoto University en-keyword=elliptic curve kn-keyword=elliptic curve en-keyword=number field kn-keyword=number field en-keyword=Belyi map kn-keyword=Belyi map en-keyword=ABC Conjecture kn-keyword=ABC Conjecture en-keyword=Mordell Conjecture kn-keyword=Mordell Conjecture en-keyword=Vojta Conjecture kn-keyword=Vojta Conjecture END start-ver=1.4 cd-journal=joma no-vol=53 cd-vols= no-issue=1 article-no= start-page=1 end-page=37 dt-received= dt-revised= dt-accepted= dt-pub-year=2011 dt-pub=201101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ASYMPTOTIC ANALYSIS FOR GREEN FUNCTIONS OF AHARONOV-BOHM HAMILTONIAN WITH APPLICATION TO RESONANCE WIDTHS IN MAGNETIC SCATTERING en-subtitle= kn-subtitle= en-abstract= kn-abstract=The Aharonov–Bohm Hamiltonian is the energy operator which governs quantum particles moving in a solenoidal field in two dimensions. We analyze asymptotic properties of its Green function with spectral parameters in the unphysical sheet. As an application, we discuss the lower bound on resonance widths for scattering by two magnetic fields with compact supports at large separation. The bound is evaluated in terms of backward scattering amplitudes by a single magnetic field. A special emphasis is placed on analyzing how a trajectory oscillating between two magnetic fields gives rise to resonances near the real axis, as the distance between two supports goes to infinity. We also refer to the relation to the semiclassical resonance theory for scattering by two solenoidal fields. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov-Bohm Hamiltonian kn-keyword=Aharonov-Bohm Hamiltonian en-keyword=Green function kn-keyword=Green function en-keyword=magnetic Schrödinger operator kn-keyword=magnetic Schrödinger operator en-keyword=scattering amplitude kn-keyword=scattering amplitude en-keyword=resonance width kn-keyword=resonance width END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=59 end-page=72 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Absolute continuity of the representing measures of the transmutation operators attached to the root system of type BC2 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We prove in this paper the absolute continuity of the representing measures of the transmutation operators Vk, tVk and VkW, tVkW associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type BC2. en-copyright= kn-copyright= en-aut-name=TrimẻcheKhalifa en-aut-sei=Trimẻche en-aut-mei=Khalifa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of sciences of Tunis University kn-affil= en-keyword=Transmutation operators kn-keyword=Transmutation operators en-keyword=Absolute continuity of the representing measures kn-keyword=Absolute continuity of the representing measures en-keyword=Cherednik operators kn-keyword=Cherednik operators en-keyword=Heckman-Opdam theory kn-keyword=Heckman-Opdam theory END start-ver=1.4 cd-journal=joma no-vol=40 cd-vols= no-issue=1 article-no= start-page=141 end-page=145 dt-received= dt-revised= dt-accepted= dt-pub-year=1998 dt-pub=199801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Actions on Spaces of Polynomials en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YamaguchiKohhei en-aut-sei=Yamaguchi en-aut-mei=Kohhei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=University of Electro-Communications en-keyword=homotopy groups kn-keyword=homotopy groups en-keyword=action kn-keyword=action en-keyword=polynomial kn-keyword=polynomial 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=65 cd-vols= no-issue=1 article-no= start-page=35 end-page=81 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations en-subtitle= kn-subtitle= en-abstract= kn-abstract=We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realization of them as (twisted) loop groups by means of Galois descent considerations. As a consequence, we show that the affine Kac-Moody group of type X(r) N is isomorphic to the fixed-point subgroup of the affine Kac-Moody group of type X(1) N under an action of the Galois group. en-copyright= kn-copyright= en-aut-name=MoritaJun en-aut-sei=Morita en-aut-mei=Jun kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=PianzolaArturo en-aut-sei=Pianzola en-aut-mei=Arturo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=ShibataTaiki en-aut-sei=Shibata en-aut-mei=Taiki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Institute of Mathematics, University of Tsukuba kn-affil= affil-num=2 en-affil=Department of Mathematical and Statistical Sciences, University of Alberta kn-affil= affil-num=3 en-affil=Department of Applied Mathematics, Okayama University of Science kn-affil= en-keyword=Affine Kac-Moody groups kn-keyword=Affine Kac-Moody groups en-keyword=Loop groups kn-keyword=Loop groups en-keyword=Twisted Chevalley groups kn-keyword=Twisted Chevalley groups END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=79 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Aharonov--Bohm effect in resonances of magnetic Schrödinger operators in two dimensions III en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the Aharonov–Bohm effect (AB effect) in quantum resonances for magnetic scattering in two dimensions. The system consists of four scatters, two obstacles and two scalar potentials with compact support, which are largely separated from one another. The obstacles by which the magnetic fields are completely shielded are vertically placed between the supports of the two potentials. The system yields a two dimensional model of a toroidal scattering system in three dimensions. The resonances are shown to be generated near the real axis by the trajectories trapped between two supports of the scalar potentials as the distances between the scatterers go to infinity. We analyze how the AB effect influences the location of resonances. The result heavily depends on the width between the two obstacles as well as on the magnetic fluxes. The critical case is that the width is comparable to the square root of the distance between the supports of the two potentials. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov–Bohm effect kn-keyword=Aharonov–Bohm effect en-keyword=magnetic Schrödinger operator kn-keyword=magnetic Schrödinger operator en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=41 end-page=78 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Aharonov--Bohm effect in resonances of magnetic Schrödinger operators in two dimensions II en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the Aharonov–Bohm effect (AB effect) in quantum resonances for magnetic scattering in two dimensions. The system consists of four scatters, two obstacles and two scalar potentials with compact support, which are largely separated from one another. The obstacles by which the magnetic fields are completely shielded are horizontally placed between the supports of the two potentials. The fields do not influence particles from a classical mechanical point of view, but quantum particles are influenced by the corresponding vector potential which does not necessarily vanish outside the obstacle. This quantum phenomenon is called the AB effect. The resonances are shown to be generated near the real axis by the trajectories trapped between two supports of the scalar potentials as the distances between the scatterers go to infinity. We analyze how the AB effect influences the location of resonances. The result is described in terms of the backward amplitudes for scattering by each of the scalar potentials, and it depends heavily on the ratios of the distances between the four scatterers as well as on the magnetic fluxes of the fields. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov–Bohm effect kn-keyword=Aharonov–Bohm effect en-keyword=magnetic Schrödinger operator kn-keyword=magnetic Schrödinger operator en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=21 cd-vols= no-issue=1 article-no= start-page=53 end-page=89 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=197906 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Algebra der hyperkomplexen Zahlensysteme (Algebren) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=BrauerRichard en-aut-sei=Brauer en-aut-mei=Richard 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=39 cd-vols= no-issue=1 article-no= start-page=135 end-page=145 dt-received= dt-revised= dt-accepted= dt-pub-year=1997 dt-pub=199701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Algebraic Loops on Fibrewise Pointed Spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FujinoRusako en-aut-sei=Fujino en-aut-mei=Rusako 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=13 cd-vols= no-issue=1 article-no= start-page=15 end-page=22 dt-received= dt-revised= dt-accepted= dt-pub-year=1967 dt-pub=196701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Algebraic extensions of simple rings I en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue=1 article-no= start-page=23 end-page=28 dt-received= dt-revised= dt-accepted= dt-pub-year=1967 dt-pub=196701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Algebraic extensions of simple rings II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=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=19 cd-vols= no-issue=1 article-no= start-page=45 end-page=46 dt-received= dt-revised= dt-accepted= dt-pub-year=1976 dt-pub=197612 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Algebras with only finitely many subalgebras 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=32 cd-vols= no-issue=1 article-no= start-page=187 end-page=206 dt-received= dt-revised= dt-accepted= dt-pub-year=1990 dt-pub=199001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Almost Hermitian Geometry, Geodesic Spheres and Symmetries en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=DjoricM. en-aut-sei=Djoric en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=VanheckeL. en-aut-sei=Vanhecke en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=University of Belgrade affil-num=2 en-affil= kn-affil=Katholieke Universiteit Leuven END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=145 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Almost Periodic Solutions of C-well-posed Evolution Equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=MinhNguyen Van en-aut-sei=Minh en-aut-mei=Nguyen Van kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Mathematics University en-keyword=Holomorphic C-semigroup kn-keyword=Holomorphic C-semigroup en-keyword=almost periodic solution kn-keyword=almost periodic solution en-keyword=sums of commuting operators kn-keyword=sums of commuting operators END start-ver=1.4 cd-journal=joma no-vol=18 cd-vols= no-issue=2 article-no= start-page=105 end-page=111 dt-received= dt-revised= dt-accepted= dt-pub-year=1976 dt-pub=197606 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Almost commutative rings and their integral extensions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=WongEdward T. en-aut-sei=Wong en-aut-mei=Edward T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Oberlin College END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=141 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Alternative approach for Siegel's lemma en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this article, we present an alternative approach to show a generalization of Siegel's lemma which is an essential tool in Diophantine problems. Our main statement contains the so-called analytic Siegel's lemma as well as the Bombieri-Vaaler lemma. Our proof avoids relying on the ordinary geometry of numbers. en-copyright= kn-copyright= en-aut-name=NagataMakoto en-aut-sei=Nagata en-aut-mei=Makoto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka University of Pharmaceutical Sciences en-keyword=Siegel’s lemma kn-keyword=Siegel’s lemma en-keyword=geometry of numbers kn-keyword=geometry of numbers en-keyword=height kn-keyword=height END start-ver=1.4 cd-journal=joma no-vol=32 cd-vols= no-issue=1 article-no= start-page=43 end-page=52 dt-received= dt-revised= dt-accepted= dt-pub-year=1990 dt-pub=199001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An Anti-Homomorphism for the Brauer-Long Group en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TilborghsFrancis en-aut-sei=Tilborghs en-aut-mei=Francis kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Free University of Brussels END start-ver=1.4 cd-journal=joma no-vol=35 cd-vols= no-issue=1 article-no= start-page=63 end-page=88 dt-received= dt-revised= dt-accepted= dt-pub-year=1993 dt-pub=199301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An Exact Sequence for the Brauer Group of Dimodule Azumaya 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 Antwerp 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=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=28 cd-vols= no-issue=1 article-no= start-page=151 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An O theorem for a class of Dirichlet series en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=RedmondDon en-aut-sei=Redmond en-aut-mei=Don kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Southern Illinois University END start-ver=1.4 cd-journal=joma no-vol=28 cd-vols= no-issue=1 article-no= start-page=53 end-page=60 dt-received= dt-revised= dt-accepted= dt-pub-year=1986 dt-pub=198601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An algebraic proof of a theorem of Warfield on algebraically compact modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AzumayaGoro en-aut-sei=Azumaya en-aut-mei=Goro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Indiana Universdity END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=165 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An alternative proof of some results on the framed bordism classes of low rank simple Lie groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=We present a uni�ed proof of some known results on the framed bordism classes of low rank simple Lie groups. en-copyright= kn-copyright= en-aut-name=MinamiHaruo en-aut-sei=Minami en-aut-mei=Haruo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Nara University of Education kn-affil= en-keyword=framed manifolds kn-keyword=framed manifolds en-keyword=simple Lie groups kn-keyword=simple Lie groups en-keyword=stable homotopy groups kn-keyword=stable homotopy groups END start-ver=1.4 cd-journal=joma no-vol=24 cd-vols= no-issue=1 article-no= start-page=25 end-page=35 dt-received= dt-revised= dt-accepted= dt-pub-year=1982 dt-pub=198206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An application of certain multiplicities of C∞ map germs en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=AndoYoshifumi en-aut-sei=Ando en-aut-mei=Yoshifumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Yamaguchi University END start-ver=1.4 cd-journal=joma no-vol=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=30 cd-vols= no-issue=1 article-no= start-page=177 end-page=186 dt-received= dt-revised= dt-accepted= dt-pub-year=1988 dt-pub=198801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An elementary proof of a theorem of Margulis for Kleinian groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=InadaTomio en-aut-sei=Inada en-aut-mei=Tomio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Sumatomogaoka Senior High School END start-ver=1.4 cd-journal=joma no-vol=15 cd-vols= no-issue=2 article-no= start-page=113 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=1972 dt-pub=197210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An equivalence relation in topology en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=LevineNorman en-aut-sei=Levine en-aut-mei=Norman kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=The Ohio State 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=65 cd-vols= no-issue=1 article-no= start-page=97 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An improvement of the integrability of the state space of the Φ43-process and the support of the Φ43-measure constructed by the limit of stationary processes of approximating stochastic quantization equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=This is a remark paper for the Φ43 -measure and the associated flow on the torus which are constructed in [1] by the limit of the stationary processes of the stochastic quantization equations of approximation measures. We improve the integrability of the state space of the Φ43 -process and the support of the Φ43 -measure. For the improvement, we improve the estimates of the Hölder continuity in time of the solutions to approximation equations. In the present paper, we only discuss the estimates different from those in [1]. en-copyright= kn-copyright= en-aut-name=KusuokaSeiichiro en-aut-sei=Kusuoka en-aut-mei=Seiichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Kyoto University kn-affil= en-keyword=stochastic quantization kn-keyword=stochastic quantization en-keyword= quantum field theory kn-keyword= quantum field theory en-keyword=singular SPDE kn-keyword=singular SPDE END start-ver=1.4 cd-journal=joma no-vol=27 cd-vols= no-issue=1 article-no= start-page=107 end-page=120 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=An ore extension over a v-HC order en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KishimotoKazuo en-aut-sei=Kishimoto en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MarubayashiHidetoshi en-aut-sei=Marubayashi en-aut-mei=Hidetoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=UedaAkira en-aut-sei=Ueda en-aut-mei=Akira kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University affil-num=2 en-affil= kn-affil=Osaka University affil-num=3 en-affil= kn-affil=Kobe University END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=179 end-page=195 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space en-subtitle= kn-subtitle= en-abstract= kn-abstract= Catenoids in de Sitter 3-space S31 belong to a certain class of space-like constant mean curvature one surfaces. In a previous work, the authors classified such catenoids, and found that two different classes of countably many exceptional elliptic catenoids are not realized as closed subsets in S31 . Here we show that such exceptional catenoids have closed analytic extensions in S31 with interesting properties. en-copyright= kn-copyright= en-aut-name=FujimoriShoichi en-aut-sei=Fujimori en-aut-mei=Shoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KawakamiYu en-aut-sei=Kawakami en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KokubuMasatoshi en-aut-sei=Kokubu en-aut-mei=Masatoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=RossmanWayne en-aut-sei=Rossman en-aut-mei=Wayne kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=UmeharaMasaaki en-aut-sei=Umehara en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=YamadaKotaro en-aut-sei=Yamada en-aut-mei=Kotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= affil-num=1 en-affil=Department of Mathematics, Hiroshima University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Kanazawa University kn-affil= affil-num=3 en-affil=Department of Mathematics, School of Engineering, Tokyo Denki University kn-affil= affil-num=4 en-affil=Department of Mathematics, Faculty of Science, Kobe University kn-affil= affil-num=5 en-affil=Department of Mathematical and Computing Sciences, Tokyo Institute of Technology kn-affil= affil-num=6 en-affil=Department of Mathematics, Tokyo Institute of Technology kn-affil= en-keyword=constant mean curvature kn-keyword=constant mean curvature en-keyword=de Sitter space kn-keyword=de Sitter space en-keyword=analytic extension kn-keyword=analytic extension END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=109 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Another description of quasi tertiary composition en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give another description of quasi tertiary composition in terms of horizontal and vertical compositions. As an application of the description and a modified result of Hardie-Kamps-Marcum-Oda, we see that any quasi tertiary composition has an indeterminacy. en-copyright= kn-copyright= en-aut-name=ŌshimaHideaki en-aut-sei=Ōshima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ŌshimaKatsumi en-aut-sei=Ōshima en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Ibaraki University affil-num=2 en-affil= kn-affil= en-keyword=Toda bracket kn-keyword=Toda bracket en-keyword=tertiary composition kn-keyword=tertiary composition en-keyword=quasi tertiary composition kn-keyword=quasi tertiary composition en-keyword=horizontal composition kn-keyword=horizontal composition en-keyword=vertical composition kn-keyword=vertical composition END start-ver=1.4 cd-journal=joma no-vol=15 cd-vols= no-issue=2 article-no= start-page=137 end-page=139 dt-received= dt-revised= dt-accepted= dt-pub-year=1972 dt-pub=197210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Another proof of the invariance of Ulm's functions in commutative modular group rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=DuboisPaul F. en-aut-sei=Dubois en-aut-mei=Paul F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SehgalSudarshan K. en-aut-sei=Sehgal en-aut-mei=Sudarshan K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=University of Alberta affil-num=2 en-affil= kn-affil=University of Alberta 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=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=47 cd-vols= no-issue=1 article-no= start-page=189 end-page=192 dt-received= dt-revised= dt-accepted= dt-pub-year=2005 dt-pub=200501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Appendix to "Some Metric Invariants of Spheres and Alexandrov Spaces II'' en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KiyoharaKazuyoshi en-aut-sei=Kiyohara en-aut-mei=Kazuyoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University en-keyword=Appendix kn-keyword=Appendix en-keyword=Metrics kn-keyword=Metrics en-keyword=Metric Invariants kn-keyword=Metric Invariants en-keyword=Spheres kn-keyword=Spheres en-keyword=Alexandrov Spaces kn-keyword=Alexandrov Spaces END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=155 end-page=164 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Arithmetic of positive integers having prime sums of complementary divisors en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study a class of integers called SP numbers (Sum Prime numbers). An SP number is by de�nition a positive integer d that gives rise to a prime number (a + b)=gcd(4; 1 + d) from every factorization d = ab. We also discuss properties of SP numbers in relations with arithmetic of imaginary quadratic �elds (least split primes, exponents of ideal class groups). Further we point out that special cases of SP numbers provide the problems of distribution of prime numbers (twin primes, Sophi-Germain primes, quadratic progressions). Finally, we consider the problem whether there exist in�nitely many SP numbers. en-copyright= kn-copyright= en-aut-name=ShimizuKenichi en-aut-sei=Shimizu en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=SP number kn-keyword=SP number en-keyword=prime number kn-keyword=prime number en-keyword= imaginary quadratic fi�eld kn-keyword= imaginary quadratic fi�eld END start-ver=1.4 cd-journal=joma no-vol=5 cd-vols= no-issue=1 article-no= start-page=13 end-page=42 dt-received= dt-revised= dt-accepted= dt-pub-year=1955 dt-pub=195510 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Associated Riemannian manifolds and motions 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=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=58 cd-vols= no-issue=1 article-no= start-page=1 end-page=39 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Asymptotic properties in forward directions of resolvent kernels of magnetic Schrödinger operators in two dimensions en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the asymptotic properties in forward directions of resolvent kernels with spectral parameters in the lower half plane (unphysical sheet) of the complex plane for magnetic Schrödinger operators in two dimensions. The asymptotic formula obtained has an application to the problem of quantum resonances in magnetic scattering, and it is especially helpful in studying how the Aharonov–Bohm effect influences the location of resonances. Here we mention only the results without proofs. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov–Bohm effect kn-keyword=Aharonov–Bohm effect en-keyword=magnetic Schrödinger operator kn-keyword=magnetic Schrödinger operator en-keyword=resolvent kernel kn-keyword=resolvent kernel en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=12 cd-vols= no-issue=1 article-no= start-page=39 end-page=47 dt-received= dt-revised= dt-accepted= dt-pub-year=1963 dt-pub=196312 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Automorphisms of algebras and a theorem concerning norms en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=MasudaKatsuhiko en-aut-sei=Masuda en-aut-mei=Katsuhiko 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=23 cd-vols= no-issue=1 article-no= start-page=19 end-page=32 dt-received= dt-revised= dt-accepted= dt-pub-year=1981 dt-pub=198106 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Azumaya algebras and skew polynomial rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IkehataShûichi en-aut-sei=Ikehata en-aut-mei=Shûichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=26 cd-vols= no-issue=1 article-no= start-page=49 end-page=57 dt-received= dt-revised= dt-accepted= dt-pub-year=1984 dt-pub=198401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Azumaya algebras and skew polynomial rings. II en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IkehataShûichi en-aut-sei=Ikehata en-aut-mei=Shûichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=61 end-page=63 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=BELYI FUNCTION ON X0(49) OF DEGREE 7 en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HoshinoKenji en-aut-sei=Hoshino en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakamuraHiroaki en-aut-sei=Nakamura en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University END start-ver=1.4 cd-journal=joma no-vol=4 cd-vols= no-issue=2 article-no= start-page=97 end-page=102 dt-received= dt-revised= dt-accepted= dt-pub-year=1955 dt-pub=195503 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Banach algebras generated by a bounded linear operator 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=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=47 cd-vols= no-issue=1 article-no= start-page=119 end-page=132 dt-received= dt-revised= dt-accepted= dt-pub-year=2005 dt-pub=200501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Belyi Function whose Grothendieck Dessin is a Flower Tree with Two Ramification Indices en-subtitle= kn-subtitle= en-abstract= kn-abstract=

In this paper we present an explicit construction of Belyi functions whose dessins are flower trees (i.e., graphs of diameter 4) with two ramification indices. We also give a method for obtaining Belyi functions defined over the moduli fields of the dessins.

en-copyright= kn-copyright= en-aut-name=KomatsuToru en-aut-sei=Komatsu en-aut-mei=Toru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokyo Metropolitan University en-keyword=Belyi function kn-keyword=Belyi function en-keyword= Grothendieck dessin. kn-keyword= Grothendieck dessin. END start-ver=1.4 cd-journal=joma no-vol=9 cd-vols= no-issue=2 article-no= start-page=165 end-page=172 dt-received= dt-revised= dt-accepted= dt-pub-year=1960 dt-pub=196003 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Bemerkung zu meiner Arbeit "Poincarésche Vermutung" 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=61 cd-vols= no-issue=1 article-no= start-page=19 end-page=35 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Berezin-Weyl quantization of Heisenberg motion groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= We introduce a Schr¨odinger model for the generic representations of a Heisenberg motion group and we construct adapted Weyl correspondences for these representations by adapting the method introduced in [ B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177-190]. en-copyright= kn-copyright= en-aut-name=CahenBenjamin en-aut-sei=Cahen en-aut-mei=Benjamin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=D´epartement de math´ematiques Universit´e de Lorraine kn-affil= en-keyword=Weyl correspondence kn-keyword=Weyl correspondence en-keyword=Berezin quantization kn-keyword=Berezin quantization en-keyword=Heisenberg motion group kn-keyword=Heisenberg motion group en-keyword=Schr¨odinger representation kn-keyword=Schr¨odinger representation en-keyword=Bargmann-Fock representation kn-keyword=Bargmann-Fock representation en-keyword=Segal-Bargmann transform kn-keyword=Segal-Bargmann transform en-keyword=unitary representation kn-keyword=unitary representation en-keyword=coadjoint orbit kn-keyword=coadjoint orbit END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue=1 article-no= start-page=91 end-page=92 dt-received= dt-revised= dt-accepted= dt-pub-year=1967 dt-pub=196701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Beziehung zwischen dem Thullenschen Satz und dem Runge-Besseschen Satz 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=33 cd-vols= no-issue=1 article-no= start-page=37 end-page=46 dt-received= dt-revised= dt-accepted= dt-pub-year=1991 dt-pub=199101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Bialgebras and Galois extensions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=153 end-page=186 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Bijective proofs of the identities on the values of inner products of the Macdonald polynomials en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this article, we introduce some identities obtained from the inner products of some symmetric polynomials including the Macdonald polynomials. These identities are obtained not only from the inner products, but also by constructing certain bijections. The bijections are constructed through transforming the Young diagrams of partitions. en-copyright= kn-copyright= en-aut-name=NishiyamaYuta en-aut-sei=Nishiyama en-aut-mei=Yuta kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Science and Technology, Kumamoto University kn-affil= en-keyword=Macdonald polynomials kn-keyword=Macdonald polynomials en-keyword=Young diagram kn-keyword=Young diagram en-keyword=bijective proof kn-keyword=bijective proof END start-ver=1.4 cd-journal=joma no-vol=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=30 cd-vols= no-issue=1 article-no= start-page=151 end-page=160 dt-received= dt-revised= dt-accepted= dt-pub-year=1988 dt-pub=198801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Bordism theory with reality and duality theorem of Poincaré type en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FujiiMichikazu en-aut-sei=Fujii en-aut-mei=Michikazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=48 cd-vols= no-issue=1 article-no= start-page=113 end-page=124 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Bott's Theorem on Samelson Products en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SugataKei en-aut-sei=Sugata en-aut-mei=Kei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=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=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=54 cd-vols= no-issue=1 article-no= start-page=133 end-page=143 dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=201201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=CONTROLLABILITY OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS VIA SEMIGROUP THEORY IN BANACH SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper focuses on controllability results of fractional integrodifferential systems in Banach spaces. We obtain sufficient conditions for the controllability results by using fractional calculus, semi-group theory and the fixed point theorem. en-copyright= kn-copyright= en-aut-name=HaziMohammed en-aut-sei=Hazi en-aut-mei=Mohammed kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BragdiMabrouk en-aut-sei=Bragdi en-aut-mei=Mabrouk kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics École Normale Supèrieure affil-num=2 en-affil= kn-affil=Department of Mathematics Larbi Ben M'hidi University en-keyword=Controllability kn-keyword=Controllability en-keyword=Integrodifferential system kn-keyword=Integrodifferential system en-keyword=Fractional calculus kn-keyword=Fractional calculus en-keyword=Semigroup theory kn-keyword=Semigroup theory en-keyword=Fixed point theorem kn-keyword=Fixed point theorem END start-ver=1.4 cd-journal=joma no-vol=56 cd-vols= no-issue=1 article-no= start-page=171 end-page=178 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=CONVEXITY PROPERTIES OF A NEW GENERAL INTEGRAL OPERATOR OF p-VALENT FUNCTIONS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we introduce a new general integral operator and obtain the order of convexity of this integral operator. en-copyright= kn-copyright= en-aut-name=BulutSerap en-aut-sei=Bulut en-aut-mei=Serap kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kocaeli University Civil Aviation College Arslanbey Campus en-keyword=Analytic function kn-keyword=Analytic function en-keyword=Multivalent function kn-keyword=Multivalent function en-keyword=Starlike function kn-keyword=Starlike function en-keyword=Convex function kn-keyword=Convex function en-keyword=Integral operator kn-keyword=Integral operator END start-ver=1.4 cd-journal=joma no-vol=52 cd-vols= no-issue=1 article-no= start-page=199 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=2010 dt-pub=201001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=CORRECTION: RESULTS ON PRIME NEAR-RINGS WITH (σ,τ)-DERIVATION en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=GölbaşiÖznur en-aut-sei=Gölbaşi en-aut-mei=Öznur kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AydinNeşet en-aut-sei=Aydin en-aut-mei=Neşet kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Cumhuriyet University affil-num=2 en-affil= kn-affil=Çanakkale 18 Mart University en-keyword=Prime Near-Ring kn-keyword=Prime Near-Ring en-keyword=Derivation kn-keyword=Derivation en-keyword=(σ,τ)-Derivation kn-keyword=(σ,τ)-Derivation END start-ver=1.4 cd-journal=joma no-vol=22 cd-vols= no-issue=2 article-no= start-page=169 end-page=184 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198012 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Carmichael numbers with many prime factors en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=YorinagaMasataka en-aut-sei=Yorinaga en-aut-mei=Masataka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=1 end-page=19 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Categorical characterization of strict morphisms of fs log schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study a categorical characterization of strict morphisms of fs log schemes. In particular, we prove that strictness of morphisms of fs log schemes is preserved by an arbitrary equivalence of categories between suitable categories of fs log schemes. The main result of the present paper leads us to a relatively simple alternative proof of a result on a categorical representation of fs log schemes proved by S. Mochizuki. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakayamaChikara en-aut-sei=Nakayama en-aut-mei=Chikara kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= affil-num=2 en-affil=Department of Economics, Hitotsubashi University kn-affil= en-keyword=fs log scheme kn-keyword=fs log scheme en-keyword=strict morphism kn-keyword=strict morphism en-keyword=fs log point kn-keyword=fs log point END start-ver=1.4 cd-journal=joma no-vol=17 cd-vols= no-issue=2 article-no= start-page=103 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=1975 dt-pub=197506 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Centralizers of a module over a quasi-Frobenius extension en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KitamuraYoshimi en-aut-sei=Kitamura en-aut-mei=Yoshimi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Tokyo Gakugei University END start-ver=1.4 cd-journal=joma no-vol=45 cd-vols= no-issue=1 article-no= start-page=163 end-page=186 dt-received= dt-revised= dt-accepted= dt-pub-year=2003 dt-pub=200301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Certain Metrics on R4+ (III) en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OhtsukiTominosuke en-aut-sei=Ohtsuki 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=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=42 cd-vols= no-issue=1 article-no= start-page=161 end-page=182 dt-received= dt-revised= dt-accepted= dt-pub-year=2000 dt-pub=200001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Certain Metrics on R4+ en-subtitle= kn-subtitle= en-abstract= kn-abstract=

We studied the pseudo-Riemannian metric on R3 × R+, where γ2 = Σ3b=1xbxb and a = constant, which satisfies the Einstein condition (in [1], [2], [3] ). The purpose of this work is to find Einstein metrics including the above metric as a special one, which is analogous to the relation between the Schwarzschild metric and the Kerr one in the theory of relativity.

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=61 cd-vols= no-issue=1 article-no= start-page=141 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cesaro Orlicz sequence spaces and their Kothe-Toeplitz duals en-subtitle= kn-subtitle= en-abstract= kn-abstract=The present paper focus on introducing certain classes of Cesàro Orlicz sequences over n-normed spaces. We study some topological and algebraic properties of these spaces. Further, we examine relevant relations among the classes of these sequences. We show that these spaces are made n-BK-spaces under certain conditions. Finally, we compute the Köthe-Toeplitz duals of these spaces. en-copyright= kn-copyright= en-aut-name=RajKuldip en-aut-sei=Raj en-aut-mei=Kuldip kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AnandRenu en-aut-sei=Anand en-aut-mei=Renu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=PandohSuruchi en-aut-sei=Pandoh en-aut-mei=Suruchi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= affil-num=2 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= affil-num=3 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= en-keyword=Orlicz function kn-keyword=Orlicz function en-keyword=Musielak-Orlicz function kn-keyword=Musielak-Orlicz function en-keyword=n-normed spaces kn-keyword=n-normed spaces en-keyword=difference sequence spaces kn-keyword=difference sequence spaces en-keyword=Köthe-Toeplitz dual kn-keyword=Köthe-Toeplitz dual 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=30 cd-vols= no-issue=1 article-no= start-page=71 end-page=78 dt-received= dt-revised= dt-accepted= dt-pub-year=1988 dt-pub=198801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Chain conditions and quotient rings of p.p. rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ÔhoriMasayuki en-aut-sei=Ôhori en-aut-mei=Masayuki 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=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=48 cd-vols= no-issue=1 article-no= start-page=73 end-page=76 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=200601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Characterization of Frobenius Groups of Special Type en-subtitle= kn-subtitle= en-abstract= kn-abstract=

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

en-copyright= kn-copyright= en-aut-name=MuktibodhArun S. en-aut-sei=Muktibodh en-aut-mei=Arun S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Mohota Science College en-keyword=Con-Cos group kn-keyword=Con-Cos group en-keyword=2-Con-Cos group kn-keyword=2-Con-Cos group END start-ver=1.4 cd-journal=joma no-vol=39 cd-vols= no-issue=1 article-no= start-page=7 end-page=16 dt-received= dt-revised= dt-accepted= dt-pub-year=1997 dt-pub=199701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Characterizations of Hereditary Modules and V-modules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=XueWeimin en-aut-sei=Xue en-aut-mei=Weimin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Fujian Normal 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=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=18 cd-vols= no-issue=2 article-no= start-page=171 end-page=188 dt-received= dt-revised= dt-accepted= dt-pub-year=1976 dt-pub=197606 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cobordism theory with reality en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=FujiiMichikazu en-aut-sei=Fujii en-aut-mei=Michikazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=22 cd-vols= no-issue=1 article-no= start-page=5 end-page=15 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cohomology for comodules en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=40 cd-vols= no-issue=1 article-no= start-page=77 end-page=90 dt-received= dt-revised= dt-accepted= dt-pub-year=1998 dt-pub=199801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Commutative Group Algebras of Abelian Σ -groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=Plovdiv State University END start-ver=1.4 cd-journal=joma no-vol=45 cd-vols= no-issue=1 article-no= start-page=1 end-page=16 dt-received= dt-revised= dt-accepted= dt-pub-year=2003 dt-pub=200301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Commutative Group Algebras of Direct Sums of σ-Summables Abelian p-Groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= 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=University of Plovdiv END start-ver=1.4 cd-journal=joma no-vol=26 cd-vols= no-issue=1 article-no= start-page=91 end-page=99 dt-received= dt-revised= dt-accepted= dt-pub-year=1984 dt-pub=198401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Commutativity of Hopf Galois extensions with Hopf algebras of derivation type en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NakajimaAtsushi en-aut-sei=Nakajima en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YokogawaKenji en-aut-sei=Yokogawa en-aut-mei=Kenji 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=Science University of Okayama END start-ver=1.4 cd-journal=joma no-vol=39 cd-vols= no-issue=1 article-no= start-page=45 end-page=56 dt-received= dt-revised= dt-accepted= dt-pub-year=1997 dt-pub=199701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Commutativity of Rings With Powers Commuting on Subsets en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KomatsuHiroaki en-aut-sei=Komatsu en-aut-mei=Hiroaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END start-ver=1.4 cd-journal=joma no-vol=20 cd-vols= no-issue=2 article-no= start-page=179 end-page=181 dt-received= dt-revised= dt-accepted= dt-pub-year=1978 dt-pub=197810 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Commutativity of certain rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KishimotoKazuo en-aut-sei=Kishimoto en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MogamiIsao en-aut-sei=Mogami en-aut-mei=Isao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Shinshu University affil-num=2 en-affil= kn-affil=Tsuyama College of Technology END start-ver=1.4 cd-journal=joma no-vol=33 cd-vols= no-issue=1 article-no= start-page=71 end-page=95 dt-received= dt-revised= dt-accepted= dt-pub-year=1991 dt-pub=199101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Commutativity theorems for algebras and 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=22 cd-vols= no-issue=1 article-no= start-page=65 end-page=72 dt-received= dt-revised= dt-accepted= dt-pub-year=1980 dt-pub=198006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Commutativity theorems for certain rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HiranoYasuyuki en-aut-sei=Hirano en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HonganMotoshi en-aut-sei=Hongan en-aut-mei=Motoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TominagaHisao 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no-issue=1 article-no= start-page=21 end-page=24 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=197906 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Commutativity theorems of Outcalt-Yaqub type 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=IkehataShûichi en-aut-sei=Ikehata en-aut-mei=Shûichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Hiroshima University affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=Okayama University END