Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662521983ℵ0-continuous directly finite ppojective modules over regular rings157163ENMamoruKutami10.18926/mjou/33369No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666412022-tilting finiteness of two-point algebras I117141ENQiWangDepartment of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka UniversityAs the first attempt to classify -tilting finite two-point algebras, we have determined the -tilting finiteness for minimal wild two-point algebras and some tame two-point algebras.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663411992-regular Rings Satisfying the Converse of Schur's Lemma153156ENChol OnKimChanHuh10.18926/mjou/33150No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662611984-rings and Morita equivalence of rings151156ENNobuoNobusawa10.18926/mjou/33327No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661021961Über die p-wertigen Funktionen8799ENKen'itiKoseki10.18926/mjou/33083No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661021961Über die Koeffizienten der schlichten Funktionen (II)125142ENKen'itiKoseki10.18926/mjou/33082No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661311967Über die Koeffizienten der schlichten Funktionen (V)3583ENKen'itiKoseki10.18926/mjou/33464No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566921960Über die Koeffizienten der schlichten Funktionen173197ENKen'itiKoseki10.18926/mjou/33393No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661611973Über den Eigenidealen der Schiefringen1724ENTakasaburoUkegawa10.18926/mjou/33773No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661711974g-adical analogues of some arithmetical functions7594ENIekataShiokawa10.18926/mjou/33911No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566611956Zusammenhang zwischen Derivationsmodul und 2-Kohomologiegruppe II4969ENMikaoMoriya10.18926/mjou/33744No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661511971Zur modularen Darstellungstheorie symmetrischer und alternierender Gruppen III2533ENAdalbertKerber10.18926/mjou/33539No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566421955Zur Theorie der topologischen Körper115134ENMikaoMoriya10.18926/mjou/33751No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566111952Zur Theorie der halb-topologischen Gruppen und Körper109124ENMikaoMoriya10.18926/mjou/33712No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663111989Zur Struktur Nichtkommutativer Ringe135140ENWalterStreb10.18926/mjou/33240No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566911959Zur Galoisschen Theorie der Schiefkörper4962ENMikaoMoriya10.18926/mjou/33395No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566411954Zur Fortsetzung der 2-Cozyklen in einem kommutativen Ring119ENMikaoMoriya10.18926/mjou/33758No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665712015ZERO MEAN CURVATURE SURFACES IN LORENTZ-MINKOWSKI 3-SPACE AND 2-DIMENSIONAL FLUID MECHANICS173200ENShoichiFujimoriYoung WookKimSung-EunKohWayneRossmanHeayongShinMasaakiUmeharaKotaroYamadaSeong-DeogYang10.18926/mjou/53048Space-like maximal surfaces and time-like minimal surfaces
in Lorentz-Minkowski 3-space R<sup>3</sup><sub>1</sub> are both characterized as zero mean
curvature surfaces. We are interested in the case where the zero mean
curvature surface changes type from space-like to time-like at a given
non-degenerate null curve. We consider this phenomenon and its interesting connection to 2-dimensional fluid mechanics in this expository
article.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664512003When is RP<sup>n</sup>~Spin(n) Diffemorphic to S<sup>n</sup>~SO(n) and how 111116ENThomasPüttmannAlcibiadesRigas10.18926/mjou/33726<p>We show that the spaces in the title, whose corresponding homotopy groups are isomorphic, are homotopy equivalent only when n = 3 or n = 7. We produce an explicit diffeomorphism in the only non
trivial case, n = 7.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663311991Weyl's type criterion for general distribution mod 1 and its applications201220ENMasumiNakajimaYukioOhkubo10.18926/mjou/33708No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661921977Weakly -regular rings and group rings123127ENVishnuGupta10.18926/mjou/33413No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663811996Weakly Henselian Rings4751ENThomasMckenzie10.18926/mjou/33099No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663911997Warped Products and Riemannian Manifolds Admitting a Function Whose Gradient is of Constant Norm165185ENTakashiSakai10.18926/mjou/33580No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665612014WEIL ALGEBRAS ASSOCIATED TO FUNCTORS OF THIRD ORDER SEMIHOLONOMIC VELOCITIES117127ENMiroslavKureš10.18926/mjou/52072The structure of Weil algebras associated to functors of
third order semiholonomic velocities is completely described including
the explicit expression of widths.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664612004Upper Cohen-Macaulay Dimension1730ENTokujiArayaRyoTakahashiYujiYoshino10.18926/mjou/33917<p>In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension. This invariant is quite similar to Cohen-Macaulay dimension that has been introduced by Gerko. Also we
define a homological invariant with respect to a local homomorphism of local rings. This invariant links upper Cohen-Macaulay dimension with Gorenstein dimension.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666212020Unstable higher Toda brackets2786ENHideakiOshimaIbaraki UniversityKatsumiOshimaNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664111999Universal Factorization Equalities for Quaternion Matrices and Their Applications4562ENYonggeTian10.18926/mjou/48176No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661421970Units in commutative integral group rings135138ENSudarshan K.Sehgal10.18926/mjou/33655No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664712005Unit Groups of a Certain Class of Completely Primary Finite Rings3954ENChitengfa JohnChikunji10.18926/mjou/33599<p>A completely primary finite ring is a ring R with identity 1 ≠ 0 whose subset of all its zero-divisors forms the unique maximal ideal J. Let R be a commutative completely primary finite ring with the unique maximal ideal J such that J<sup>3</sup> = (0) and J<sup>2</sup> ≠ (0). Then R/J ≒ GF(ρ<sup>γ</sup>) and the characteristic of R is ρ<sup>γ</sup>, where 1 ≤ k ≤ 3, for
some prime ρ and positive integer γ. Let R<sub>o</sub> = GR(p<sup>kr</sup>, p<sup>k</sup>) be a Galois
subring of R and let the annihilator of J be J<sup>2</sup> so that R = R<sub>o</sub> ⊕U ⊕V , where U and V are finitely generated R<sub>o</sub>-modules. Let non-gative
integers s and t be numbers of elements in the generating sets for U and V , respectively. When s = 2, t = 1 and the characteristic of R is p<sup>2</sup> and p<sup>3</sup>; and when s = 2, t = 2 and the characteristic of R is p, the structure of the group of units R<sup>*</sup> of the ring R and its generators have been determined; these depend on the structural matrices (a<sup>l</sup><sub>ij</sub>) and on
the parameters p, k, r, s and t.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661811975Uniform distribution of sequences of algebraic integers1329ENH.NiederreiterSiu KwongLo10.18926/mjou/33812No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566521956Une note sur l'espace produit d'un espace topologique par lui-même121125ENKaichirôFujiwara10.18926/mjou/33567No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566511955Une note sur l'axiome (T5) de séparation13ENTakeshiInagaki10.18926/mjou/33573No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663411992Uncoutably Many Infinite Loop Spaces of the Same N-type for all N217223ENYoshimiShitanda10.18926/mjou/33148No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661111962Uber die Koeffizienten der schlichten Funktionen (III)2742ENKen'itiKoseki10.18926/mjou/33615No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661121963Uber die Koeffizienten der schlichten Funktionen (IV)125157ENKen'itiKoseki10.18926/mjou/33610No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661111962Uber die Koeffizienten der schlichten und meromorphen Funktionen (I)5158ENKen'itiKoseki10.18926/mjou/33618No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661121963Uber die Integralgleichungen, welche durch die Schlichten Funktionen genugt werden119124ENKen'itiKoseki10.18926/mjou/33609No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661221966Uber die Haufungsmengen der meromorphen Funktionen7180ENKen'itiKoseki10.18926/mjou/33509No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661111962Uber die Ableitungen der schlichten Funktionen (I)4350ENKen'itiKoseki10.18926/mjou/33616No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665512013UNIFORM STABILITY AND BOUNDEDNESS OF SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF THE THIRD ORDER157166ENAdemoraAdeleke TimothyArawamoPeter Olutola10.18926/mjou/49103In this paper, a complete Lyapunov functional was con-
structed and used to obtain criteria (when p = 0) for uniform asymptotic
stability of the zero solution of the nonlinear delay differential equation
(1.1). When p 0, sufficient conditions are also established for uni-
form boundedness and uniform ultimate boundedness of solutions of
this equation. Our results improve and extend some well known results
in the literature.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661921977Two theorems on left s-unital rings97100ENYasuyukiHiranoHisaoTominaga10.18926/mjou/33410No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662011978Two commutativity theorems for rings6772ENYasuyukiHiranoHisaoTominaga10.18926/mjou/33975No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662611984Two commutativity properties for rings113118ENEvagelosPsomopoulosHisaoTominagaAdilYaqub10.18926/mjou/33329No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666512023Traveling front solutions for perturbed reaction-diffusion equations125143ENWahWahResearch Institute for Interdisciplinary Science, Okayama UniversityMasaharuTANIGUCHIResearch Institute for Interdisciplinary Science, Okayama UniversityTraveling front solutions have been studied for reaction-diffusion equations with various kinds of nonlinear terms. One of the interesting subjects is the existence and non-existence of them. In this paper, we prove that, if a traveling front solution exists for a reaction-diffusion equation with a nonlinear term, it also exists for a reaction-diffusion equation with a perturbed nonlinear term. In other words, a traveling front is robust under perturbation on a nonlinear term.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666012018Tomita-Takesaki theory and its application to the structure theory of factors of type III3758ENToshihikoMasudaGraduate School of Mathematics, Kyushu UniversityWe give a survey of Tomita-Takesaki theory and the development of analysis of structure of type III factors, which started from Tomita-Takesaki theory.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663611994Theta Functions. I3544ENTakashiTasaka10.18926/mjou/33206No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663811996Theta Functions, II93108ENTakashiTasaka10.18926/mjou/33093No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566411954Theory of connections and a theorem of E. Cartan on holonomy groups I2138ENTominosukeOtsuki10.18926/mjou/33755No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566521956Theory of compact rings II103113ENKatsumiNumakura10.18926/mjou/33565No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566511955Theory of compact rings7993ENKatsumiNumakura10.18926/mjou/33574No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566711957Theory of affine connections of the space of tangent directions of a differentiable manifold I, II174ENTominosukeOtsuki10.18926/mjou/33642No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566721957Theory of affine connections of the space of tangent directions of a differentiable manifold, III95122ENTominosukeOtsuki10.18926/mjou/33636No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566221953Theorie der Derivationen und Körperdifferenten111148ENMikaoMoriya10.18926/mjou/33167No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566511955Theorie der 2-Kohomologiegruppen in diskret bewerteten perfekten Körpern4377ENMikaoMoriya10.18926/mjou/33572No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662611984The spectrum of a conjugacy class graph of a finite group110ENNoboruIto10.18926/mjou/33339No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663011988The serial test for digital k-step pseudorandom numbers93119ENHaraldNiederreiter10.18926/mjou/33556No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665812016The positivity of the transmutation operators associated to the Cherednik operators for the root system $BC_2$183198ENKhalifaTRIMÈCHE10.18926/mjou/53925We consider the transmutation operators V<sub>k</sub>, <sup>t</sup>V<sub>k</sub> and V <sup>W</sup> <sub>k</sub> , <sup>t</sup>V <sup>W</sup> <sub>k</sub> associated respectively with the Cherednik operators and the Heckman-Opdam theory attached to the root system BC2, called also in [8, 9, 10] the trigonometric Dunkl intertwining operators, and their dual. In this paper we prove that the operators V<sub>k</sub>, <sup>t</sup>V<sub>k</sub> and V<sup>W</sup><sub>k</sub> , <sup>t</sup>V<sup>W</sup><sub>k</sub> are positivity preserving and allows positive integral representations. In particular we deduce that the Opdam-Cherednik and the Heckman-Opdam kernels are positive definite.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666112019The number of simple modules in a block with Klein four hyperfocal subgroup159166ENFuminoriTasakaNational Institute of Technology Tsuruoka College A 2-block of a finite group having a Klein four hyperfocal subgroup has the same number of irreducible Brauer characters as the corresponding 2-block of the normalizer of the hyperfocal subgroup.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662021978The monoid structure of Galois H-dimodule algebras induced by the smash product165177ENAtsushiNakajima10.18926/mjou/33963No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662321981The identity (xy)^n = x^ny^n and commutativity of rings147151ENYujiKobayashi10.18926/mjou/33842No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662811986The group of Galois H-dimodule algebras2127ENAntonio A.Blanco-FerroMiguel A.Lopez Lopez10.18926/mjou/33945No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661711974The estimation of multiple correlation coefficient in stratified random sampling6774ENKazumasaWakimoto10.18926/mjou/33910No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665912017The degree of set-valued mappings from ANR spaces to homology spheres2740ENYoshimiShitandaSchool of political science and economics, Meiji University10.18926/mjou/54712An admissible mapping is a set-valued mapping which has a selected pair of continuous mappings. In this paper, we study the degree of admissible mappings from ANR spaces to homology spheres and prove the uniqueness of the degree under some conditions.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666312021The d-Smith sets of direct products of dihedral groups153165ENKoheiSeitaDepartment of Mathematics, Graduate School of Natural Science and Technology, Okayama UniversityLet G be a finite group and let V and W be real G-modules. We call V and W dim-equivalent if for each subgroup H of G, the H-fixed point sets of V and W have the same dimension. We call V and W are Smith equivalent if there is a smooth G-action on a homotopy sphere with exactly two G-fixed points, say a and b, such that the tangential G-representations at a and b of are respectively isomorphic to V and W . Moreover, We call V and W are d-Smith equivalent if they are dim-equivalent and Smith equivalent. The differences of d-Smith equivalent real G-modules make up a subset, called the d-Smith set, of the real representation ring RO(G). We call V and W P(G)-matched if they are isomorphic whenever the actions are restricted to subgroups with prime power order of G. Let N be a normal subgroup. For a subset F of G, we say that a real G-module is F-free if the H-fixed point set of the G-module is trivial for all elements H of F. We study the d-Smith set by means of the submodule of RO(G) consisting of the differences of dim-equivalent, P(G)-matched, {N}-free real G-modules. In particular, we give a rank formula for the submodule in order to see how the d-Smith set is large.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666412022The d-Smith sets of Cartesian products of the alternating groups and finite elementary abelian 2-groups1329ENKoheiSeitaDepartment of Mathematics, Graduate School of Natural Science and Technology, Okayama UniversityLet G be a finite group. In 1970s, T. Petrie defined the Smith equivalence of real G-modules. The Smith set of G is the subset of the real representation ring consisting of elements obtained as differences of Smith equivalent real G-modules. Various results of the topic have been obtained. The d-Smith set of G is the set of all elements [V ]|[W] in the Smith set of G such that the H-fixed point sets of V and W have the same dimension for all subgroups H of G. The results of the Smith sets of the alternating groups and the symmetric groups are obtained by E. Laitinen, K. Pawa lowski and R. Solomon. In this paper, we give the calculation results of the d-Smith sets of the alternating groups and the symmetric groups. In addition, we give the calculation results of the d-Smith sets of Cartesian products of the alternating groups and finite elementary abelian 2-groups.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662811986The classification of homogeneous structures on 3-dimensional space forms173189ENKojiAbe10.18926/mjou/33931No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662811986The category of s-unital modules6591ENHiroakiKomatsu10.18926/mjou/33950No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666412022The best constant of the discrete Sobolev inequalities on the complete bipartite graph3145ENHiroyukiYamagishiTokyo Metropolitan College of Industrial TechnologyWe have the best constants of three kinds of discrete Sobolev inequalities on the complete bipartite graph with 2N vertices, that is, K<sub>N</sub>,<sub>N</sub>. We introduce a discrete Laplacian A on K<sub>N</sub>,<sub>N</sub>. A is a 2N ~2N real symmetric positive-semidefinite matrix whose eigenvector corresponding to zero eigenvalue is 1 = <sup>t</sup>(1, 1, c , 1)∈ C<sup>2N</sup>. A discrete heat kernel, a Greenfs matrix and a pseudo Greenfs matrix play important roles in giving the best constants.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661511971The asymptotic behavior of solutions of a nonlinear nth-order defferential equation7173ENY. P.Singh10.18926/mjou/33542No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663711995The Unit Group of the Modular Small Group Algebra1525ENMohamed A.M.SalimRobertSandling10.18926/mjou/33786No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663911997The Twistor Space of Distributions159163ENGradimirMiljojkovic10.18926/mjou/33578No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662911987The Taylor coefficients of (s), (s-1)(s) and (z/(1-z))(1/(1-z))207219ENMasumiNakajima10.18926/mjou/33278No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663911997The Steenrod Algebra and Braid Groups89112ENMizuhoHikida10.18926/mjou/33587No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664712005The Spiegelungssatz for p=5 from a Constructive Approach128ENYasuhiroKishi10.18926/mjou/33603<p>We describe explicitly the relation between the 5-ranks of the ideal class groups of two quadratic fields with conductors m and 5m, respectively, and that of the associated cyclic quartic field.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662421982The S^1-transfer map and homotopy groups of suspended complex projective spaces179200ENJunoMukai10.18926/mjou/33980No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664312001The Role of Commutators in a Non-Cancellation Phenomenon 7394ENTomas EdsonBarrosAlcibiadesRigas10.18926/mjou/33251<p>We construct an explicit (from the transition function point of view) diffeomorphism between the cartesian products with the 3-sphere of two 10-dimensional loop spaces that are not homotopy equivalent to each other. Our method employs specific models for some S<sup>3</sup>-
principal bundles over S<sup>7</sup> and relates the study of this type of noncancellation phenomena to commutators of groups. Our formulas depend only on specifying homotopies of powers of commutators to constants.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663511993The Quasi KO-types of the Stunted Mod 4 Lens Spaces193228ENZen-IchiYosimura10.18926/mjou/33479No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664011998The Quasi KO* -Types of Stunted Mod 8 Lens Spaces113134ENYasuzoNishimuraZen-ichiYosimura10.18926/mjou/33678No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663811996The Property Special (DF) for Unit-Regular Rings111ENMamoruKutami10.18926/mjou/33101No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663511993The Property (DF) for Regular Rings whose Primitive Factor Rings Are Artinian169179ENMamoruKutamiIchiroInoue10.18926/mjou/33473No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664812006The Prime Ideal Factorization of 2 in Pure Quartic Fields with Index 24346ENBlair K.SpearmanKenneth S.Williams10.18926/mjou/33362<p>The prime ideal decomposition of 2 in a pure quartic field with field index 2 is determined explicitly.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664612004The Perron Problem for C-Semigroups141152ENPetrePradaAlinPoganCiprianPreda10.18926/mjou/33930<p><p>Characterizations of Perron-type for the exponential stability of exponentially bounded C-semigroups are given. Also, some applications for the asymptotic behavior of the integrated semigroups are obtained.</p></p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663411992The Integral Cohomology Rings of F4/Spin(n) and E6/Spin(m)181193ENMasaakiYokotani10.18926/mjou/33165No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664812006The Geometry and Topology on Grassmann Manifolds181195ENZhouJianwei10.18926/mjou/33363<p>This paper shows that the Grassmann Manifolds GF(n,N)
can all be imbedded in an Euclidean space MF(N) naturally and the imbedding can be realized by the eigenfunctions of Laplacian Δ on GF(n,N). They are all minimal submanifolds in some spheres of MF(N) respectively. Using these imbeddings, we construct some degenerate Morse functions on Grassmann Manifolds, show that the homology of
the complex and quaternion Grassmann Manifolds can be computed easily.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664712005The Galois Action on the Torsor of Homotopy Classes of Paths on a Projective Line minus a Finite Number of Points2938ENZdzisÃlawWojtkowiak10.18926/mjou/33597No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665012008The Fine Spectra of the Cesàro Operator C 1 over the Sequence Space bvp, (1 ≤ p ∞)135147ENAli M.AkhmedovFeyziBasar10.18926/mjou/33130<p>The sequence space bvp consisting of all sequences (xk) such that (xk - xk-1) in the sequence space lp has recently been introduced by Basar and Altay [Ukrainian Math. J. 55(1)(2003), 136-147]; where 1 ≤ p ≤ ∞. In the present paper, the norm of the Cesàro operator C1 acting on the sequence space bvp has been found and the fine spectrum of the Cesàro operator C1 over the sequence space bvp has been determined, where 1 ≤ p < ∞.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666112019The Factorization of 2 and 3 in Cyclic Quartic Fields167172ENStephen C.BrownDepartment of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British ColumbiaChad T.DavisDepartment of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia Due to a theorem of Dedekind, factoring ideals generated by prime numbers in number fields is easily done given that said prime number does not divide the index of the field. In this paper, we determine the prime ideal factorizations of both 2 and 3 in cyclic quartic fields whose index is divisible by one of or both of these primes.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663711995The Existence of p-Harmonic Maps between Spheres187200ENMasanoriIshida10.18926/mjou/33791No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663611994The Element \bar{kappa} is not in the Image of the S¹-Transfer133143ENJunoMukai10.18926/mjou/33201No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663111989The Distribution of Pythagorean Triples and a Three-Dimensional Divisor Problem213220ENWerner GeorgNowakWinfriedRecknagel10.18926/mjou/33239No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663511993The Converse of Badrikian's Theorem229234ENYoshiakiOkazakiYasujiTakahashi10.18926/mjou/33485No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663911997The Comparison Theorem of Hilbert-space-valued Tangent Sequences147157ENYuHePeideLiu10.18926/mjou/33585No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664512003The Behavior of the Second Pluri-Genus of Normal Surface Singularities of Type <sub>*</sub>A<sub>n</sub>,<sub>*</sub>D<sub>n</sub>,<sub>*</sub>E<sub>n</sub>,<sub>*</sub><sup>∼</sup>A<sub>n</sub>,<sub>*</sub><sup>∼</sup>D<sub>n</sub>and <sub>*</sub><sup>∼</sup>E<sub>n</sub>4558ENKoukichiWada10.18926/mjou/33723<p>In this paper, we study the behavior of the second plurigenus δ2 of normal surface singularities of type <sub>*</sub>A<sub>n</sub>,<sub>*</sub>D<sub>n</sub>,<sub>*</sub>E<sub>n</sub>,<sub>*</sub><sup>∼</sup>A<sub>n</sub>,<sub>*</sub><sup>∼</sup>D<sub>n</sub>and <sub>*</sub><sup>∼</sup>E<sub>n</sub>. We obtain main result which corresponds to that of [7], i.e., main result is a δ2-version of Ohyanagifs result.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663611994The Atiyah-Singer Index Theorem for G-Equivariant Real Elliptic Families145177ENKenjiTsuboi10.18926/mjou/33197No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663111989The A-Cohomology of the Stunted Quaternionic (Quasi-)projective Spaces197206ENMitsunoriImaoka10.18926/mjou/33248No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664212000The 19 and 20-th Homotopy Groups of the Rotation Groups R<sub>n</sub>89114ENHideyukiKachiJunoMukai10.18926/mjou/33289<p>We determine the group structures of the homotopy groups of the rotation groups π<sub>k</sub>(R<sub>n</sub>) for k = 19 and 20. The main tool of the computaion is the homotopy exact sequence associated with the fibration R<sub>n+1</sub>/R<sub>n</sub> = S<sup>n</sup>.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666112019Terwilliger Algebras of Some Group Association Schemes199204ENNurHamidFaculty of Mathematics and Physics, Kanazawa UniversityManabuOuraFaculty of Mathematics and Physics, Kanazawa University The Terwilliger algebra plays an important role in the theory of association schemes. The present paper gives the explicit structures of the Terwilliger algebras of the group association schemes of the finite groups PSL(2, 7), A6, and S6.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663911997Tensor Products of Complexes1739ENEdgar E.EnochsJ.R. GarciaRozas10.18926/mjou/33583No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664111999Tensor Products and Quotient Rings which are Finite Commutative Principal Ideal Rings114ENJilyanaCazaran10.18926/mjou/33624<p>We give structure theorems for tensor products R⊕S, and quotient rings Q/I to be finite commutative principal ideal rings with identity, where Q is a polynomial ring and I is an ideal of Q generated
by univariate polynomials. We also show when Q/I is a direct product of finite fields or Galois rings.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663111989Tauberian Theorems of Jp Mp-Type221225ENHubertTietz10.18926/mjou/33232No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566821958Tangent bundles of order 2 and general connections 143179ENTominosukeOtsukiNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663611994TTF-Theory Over a Semiperfect Ring7784ENShojiMorimoto10.18926/mjou/33210No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665212010TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS97109ENLiuZhongkuiYangXiaoyan10.18926/mjou/33505<p>Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and l<sub>R</sub>(Ra) is pure as a left ideal of R for every element a ∈ R. Then the skew monoid ring R*S induced by α has the same triangulating dimension as R. Furthermore, if R is a PWP ring, then so is R*S.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665312011TRIANGLE CENTERS DEFINED BY QUADRATIC POLYNOMIALS185216ENYoshioAgaoka10.18926/mjou/41406We consider a family of triangle centers whose barycentric coordinates are given by quadratic polynomials, and determine the lines that contain an infinite number of such triangle centers. We show that for a given quadratic triangle center, there exist in general four principal lines through this center. These four principal lines possess an intimate connection with the Nagel line.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665212010TRADING DEGREE FOR DIMENSION IN THE SECTION CONJECTURE: THE NON-ABELIAN SHAPIRO LEMMA2943ENJakobStix10.18926/mjou/33497<p>This note aims at providing evidence for the section conjecture of anabelian geometry by establishing its behaviour under Weil restriction of scalars. In particular, the étale fundamental group of the Weil restriction is determined by means of a Shapiro Lemma for nonabelian group cohomology.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665312011TORSION OF ELLIPTIC CURVES OVER QUADRATIC CYCLOTOMIC FIELDS7582ENFilipNajman10.18926/mjou/41398In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(|3).No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665312011THE UNIFORM EXPONENTIAL STABILITY OF LINEAR SKEW-PRODUCT SEMIFLOWS ON REAL HILBERT SPACE173183ENPham VietHaiLe NgocThanh10.18926/mjou/41405The goal of the paper is to present some characterizations for the uniform exponential stability of linear skew-product semiflows on real Hilbert space.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665412012THE TANGENT BUNDLES OVER EQUIVARIANT REAL PROJECTIVE SPACES8796ENYanQi10.18926/mjou/47196let G be a nontrivial cyclic group of odd order. In the present paper, we will prove that the fourfold Whitney sum of the tangent bundle of real projective plane of any three dimensional nontrivial real G-representation is equivariantly a product bundle.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665112009THE SPACE L<sub>q</sub> OF DOUBLE SEQUENCES149157ENFeyziBasarYurdalSever10.18926/mjou/33223<p>The spaces BS, BS(t), CS<sub>p</sub>, CS<sub>bp</sub>, CS<sub>r</sub> and BV of double
sequences have recently been studied by Altay and Ba¸sar [J. Math. Anal. Appl. 309(1)(2005), 70–90]. In this work, following Altay and Ba¸sar [1], we introduce the Banach space L<sub>q</sub> of double sequences corresponding to the well-known space ℓ<sub>q</sub> of single sequences and examine some properties
of the space L<sub>q</sub>. Furthermore, we determine the β(υ)-dual of the space
and establish that the α- and γ-duals of the space L<sub>q</sub> coincide with the β(υ)-dual; where 1 ≤ q < ∞ and υ 2 {p, bp, r}.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665712015THE EQUIVARIANT SIMPLICIAL DE RHAM COMPLEX AND THE CLASSIFYING SPACE OF A SEMI-DIRECT PRODUCT GROUP123128ENNaoyaSuzuki10.18926/mjou/53044We show that the cohomology group of the total complex
of the equivariant simplicial de Rham complex is isomorphic to the cohomology
group of the classifying space of a semi-direct product group.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665712015THE CANONICAL LINE BUNDLES OVER EQUIVARIANT REAL PROJECTIVE SPACES111122ENYanQi10.18926/mjou/53043A generator of the reduced KO-group of the real projective space of dimension n is related to the canonical line bundle γ. In
the present paper, we will prove that for a finite group G of odd order and a real G-representation U of dimension 2n, in the reduced G-equivariant KO-group of the real projective space associated with the
G-representation R ⊕ U, the element 2<sup>n+2</sup>[γ] is equal to zero.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665512013THE BLOCK APPROXIMATION THEOREM5385ENDanHaranMosheJardenFlorianPop10.18926/mjou/49096The block approximation theorem is an extensive general-
ization of both the well known weak approximation theorem from valu-
ation theory and the density property of global fields in their henseliza-
tions. It guarantees the existence of rational points of smooth affine
varieties that solve approximation problems of local-global type (see
e.g. [HJP07]). The theorem holds for pseudo real closed fields, by
[FHV94]. In this paper we prove the block approximation for pseudo-F-
closed fields K, where F is an Letale compact family of valuations of K
with bounded residue fields (Theorem 4.1). This includes in particular
the case of pseudo p-adically closed fields and generalizations of these
like the ones considered in [HJP05].No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665612014THE BEST CONSTANT OF L<sup>p</sup> SOBOLEV INEQUALITY CORRESPONDING TO DIRICHLET-NEUMANN BOUNDARY VALUE PROBLEM145155ENHiroyukiYamagishiKohtaroWatanabeYoshinoriKametaka10.18926/mjou/52074We have obtained the best constant of the following L<sup>p</sup>
Sobolev inequality
sup
<sub>0≤y≤1</sub>|
u<sup>(j)</sup>(y)|
≤C ( <doubleint><sub>0</sub><sup>1</sup>
</doubleint> |
u<sup>(M)</sup>(x)|
<sup>p</sup>
dx)<sup>1/p</sup>
,
where u is a function satisfying u<sup>(M)</sup> L<sup>p</sup>(0, 1), u<sup>(2i)</sup>(0) = 0 (0 ≤i ≤
[(M | 1)/2]) and u<sup>(2i+1)</sup>(1) = 0 (0 ≤ i ≤ [(M | 2)/2]), where u<sup>(i)</sup> is
the abbreviation of (d/dx)<sup>i</sup>u(x). In [9], the best constant of the above
inequality was obtained for the case of p = 2 and j = 0. This paper
extends the result of [9] under the conditions p > 1 and 0 ≤ j ≤ M |1.
The best constant is expressed by Bernoulli polynomials.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665212010THE BELYI FUNCTIONS AND DESSIN DfENFANTS CORRESPONDING TO THE NON-NORMAL INCLUSIONS OF TRIANGLE GROUPS4560ENKenjiHoshino10.18926/mjou/33499<p>We present the Belyi functions, dessin dfenfants, and monodromy permutations corresponding to the non-normal inclusions of triangle groups.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664712005Symplectic Invariants Arising from a Grassmann Quotient and Trivalent Graphs99118ENHirokiAkazawa10.18926/mjou/33598<p>In this paper, we study the sp-invariant graded algebra arising in a specific quotient of a Grassmann algebra, and identify it with an algebra generated by trivalent graphs.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664212000Symmetry of Almost Hereditary Rings2954ENYoshitomoBabaHiroyukiMiki10.18926/mjou/33290No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662121979Symmetrische Funktionen. Invarianten von linearen Gruppen endlicher Ordnung91113ENRichardBrauer10.18926/mjou/33826No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664512003Symbols of Pseudodifferential Operators Associated to Gevrey Kernel's Type 117122ENMohammedHazi10.18926/mjou/33724<p>In this article, we aim at proving the truthfulness of the inverse Theorem (1) of [5]. More precisely, we associated symbols of Gevrey type to pseudodifferential operators when the latter are given
by their kernels.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666412022Symbolic powers of monomial ideals187190ENTony J. PuthenpurakalLet K be a field and consider the standard grading on A = K[X<sub>1</sub>, ... ,X<sub>d</sub>]. Let I, J be monomial ideals in A. Let I<sub>n</sub>(J) = (I<sup>n</sup> : J<sup>∞</sup>) be the n<sup>th</sup> symbolic power of I with respect to J. It is easy to see that the function f<sup>I</sup> <sub>J</sub> (n) = e<sub>0</sub>(I<sub>n</sub>(J)/I<sup>n</sup>) is of quasi-polynomial type, say of period g and degree c. For n 0 say<br>
<br>
f<sup>I</sup><sub>J</sub> (n) = a<sub>c</sub>(n)n<sup>c</sup> + a<sub>c|1</sub>(n)n<sup>c|1</sup> + lower terms,<br>
<br>
where for i = 0, ... , c, a<sub>i</sub> : N Q are periodic functions of period g and a<sub>c</sub> ≠0. In [4, 2.4] we (together with Herzog and Verma) proved that dim I<sub>n</sub>(J)/I<sup>n</sup> is constant for n 0 and a<sub>c</sub>(|) is a constant. In this paper we prove that if I is generated by some elements of the same degree and height I ≥ 2 then a<sub>c|1</sub>(|) is also a constant.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662411982Surgery obstruction of twisted products7397ENTomoyoshiYoshida10.18926/mjou/33989No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566421955Sur une classe de fonctions continues de type positif sur un groupe localement compact143173ENOsamuTakenouchi10.18926/mjou/33754No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566221953Sur un Ensemble De Capacité Nulle et L'infini D'un Potentiel99101ENNobuyukiNinomiya10.18926/mjou/33169No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661111962Sur les representations unitaires des groupes de Lie resolubles118ENJ.Dixmier10.18926/mjou/33617No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566321954Sur les anneaux des fonctions continues à support compact175184ENKaichiroFujiwara10.18926/mjou/33182No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566211952Sur les Espaces Lineaires Localement Convexes5784ENOsamuTakenouchi10.18926/mjou/33172No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566211952Sur le Caractère Fonctionelle de la Solution du Probléme de Dirichlet4148ENNobuyukiNinomiya10.18926/mjou/33178No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566721957Sur la facteur-representation d'un groupe de Lie resoluble de type (E)151161ENOsamuTakenouchi10.18926/mjou/33634No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566111952Sur deux théorémes concernant un ensemble partiellement ordonné167176ENTakeshiInagaki10.18926/mjou/33715No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662611984Sur certaines conditions pour la commutativité; des anneaux différentiels semi-premiers129131ENAndrzejTrzepizur10.18926/mjou/33344No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566211952Sur Une Suite Convergente de Distributions de Masses et Leurs Potentiels Correspondants17ENNobuyukiNinomiya10.18926/mjou/33176No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661921977Supplements to the previous paper "On separable polynomials of degree 2 in skew polynomial rings"159161ENTakasiNagahara10.18926/mjou/33407No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661221966Supplements to the previous paper "Quasi-Galois extensions of simple rings"159166ENTakasiNagahara10.18926/mjou/33513No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662321981Supplements to the previous paper "Some commutativity theorems for rings"137139ENYasuyukiHiranoMotoshiHonganHisaoTominaga10.18926/mjou/33856No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661121963Supplementary remarks to the previous papers159163ENTakasiNagaharaKazuoKishimotoHisaoTominaga10.18926/mjou/33612No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566321954Supplement to my previous paper "On primary ideal decompositions in non-commutative rings"135138ENHisaoTominaga10.18926/mjou/33187No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662121979Sums of reciprocals of some multiplicative functions155164ENV. SitaRamaiahD.Suryanarayana10.18926/mjou/33820No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664912007Sums and Partial Sums of Double Power Series associated with the Generalized Zeta Function and Their N-fractional CalculusSums and Partial Sums of Double Power Series associated with the Generalized Zeta Function and Their N-fractional Calculus3752ENMaged G.Bin-Saad10.18926/mjou/33110<p>An attempt is made here to introduce and study a pair of
double power series associated with the generalized zeta function due to Erdélyi Φ(x; z; a) together with related sums, integral representations,
generating relations and N-fractional calculus. A number of (known and
new) results shown to follow as special cases of our theorems.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663411992Subrings Containing Ideals149151ENShalomFeigelstock10.18926/mjou/33145No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661211963Submanifolds in a Riemannian manifold with general connections137ENChorng-ShiHouh10.18926/mjou/33517No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663511993Submanifolds in a Manifold with General Connections253275ENNaotoAbeHiroakiNemotoSeiichiYamaguchi10.18926/mjou/33490No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662411982Subgroup SU(8)/Z2 of compact simple Lie group E7 and non-compact simple Lie group E{7(7)} of type E75371ENIchiroYokota10.18926/mjou/33993No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663511993Structure of p-solvable Groups with three p-regular Classes II2934ENYasushiNinomiya10.18926/mjou/33482No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663611994Structure of Semiprime Rings Satisfying Certain Conditions105131ENTsunekazuNishinaka10.18926/mjou/33209No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663611994Structure of Rings Satisfying Certain Polynomial Identities and Commutativity Theorems85103ENIsaoMogami10.18926/mjou/33204No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664011998Structure of Minimal Non-Commutative Zero-Insertive Rings6976ENLiqiongXuWeiminXue10.18926/mjou/33676No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662121979Structure and commutativity of rings with constraints on nilpotent elements. II165166ENHazarAbu-KhuzamAdilYaqub10.18926/mjou/33821No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662111979Structure and commutativity of rings with constraints on nilpotent elements1519ENDavid L.OutcaltAdilYaqub10.18926/mjou/33834No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665012008Strong Convergence Theorems for Nonexpansive Mappings by Viscosity Approximation Methods in Banach Spaces113125ENXiaolongQinYongfuSuChangqunWu10.18926/mjou/33139<p>In this paper, we introduce a modified Ishikawa iterative process for a pair of nonexpansive mappings and obtain a strong convergence theorem in the framework of uniformly Banach spaces. Our results improve and extend the recent ones announced by Kim and Xu [T.H. Kim, H.K. Xu, Strong convergence of modified Mann iterations, Nonlinear Anal. 61 (2005) 51-60], Xu [H.K. Xu, Viscosity approximation methods for nonexpansive mappings. J. Math. Anal. Appl. 298 (2004) 279-291] and some others.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663711995Stratified Poisson Spaces and Reduction205217ENSeikiYamanishi10.18926/mjou/33796No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664812006Stickelberger Ideals and Normal Bases of Rings of p-integers920ENHumioIchimura10.18926/mjou/33353No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15666012018Stable splittings of the complex connective K-theory of BSO(2n+1)7389ENTsung-HsuanWuDepartment of Mathematics National Tsing Hua UniversityWe give the stable splittings of the complex connective K-theory of the classifying space BSO(2n + 1), n≥1.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664712005Stable Self-homotopy Groups of Complex Projective Plane147158ENShinichiroOmae10.18926/mjou/33601<p>We compute the stable homotopy group G<sub>k</sub>(CP<sup>2</sup>) = Σ<sup>k</sup>CP<sup>2</sup>,CP<sup>2</sup>} of the complex projective plane CP<sup>2</sup> for k ≤ 20 by using the exact sequence associated with canonical cofiber sequence and Toda bracket.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664312001Stable Module Theory with Kernels 3142ENKirikoKato10.18926/mjou/33258No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566911959Spectral theory of operator algebras I6398ENMinoruTomita10.18926/mjou/33396No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661011960Spectral theory of operator algebras II1960ENMinoruTomita10.18926/mjou/33087No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566311953Some theorems on a system of matrices and a geometrical application8994ENTominosukeOtsuki10.18926/mjou/33191No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662021978Some studies on strongly -regular rings141149ENYasuyukiHirano10.18926/mjou/33956No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662711985Some studies on generalized p.p. rings and hereditary rings5370ENMasayukiÔhori10.18926/mjou/33445No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566321954Some studies on Frobenius algebras, II109119ENMasaruOsima10.18926/mjou/33181No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661321968Some results on normal bases111118ENHisaoTominaga10.18926/mjou/33460No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661921977Some results on H-Azumaya algebras101110ENAtsushiNakajima10.18926/mjou/33406No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566421955Some remarks on -regular rings of bounded index135141ENHisaoTominaga10.18926/mjou/33752No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662511983Some remarks on weakly regular modules2934ENTsuguoMabuchiYasuyukiHirano10.18926/mjou/33378No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662521983Some remarks on the set of idempotents and the set of elements square zero133138ENYasuyukiHiranoHisaoTominaga10.18926/mjou/33371No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661521972Some remarks on the bimodule structure of Galois extensions129135ENArifKayaHisaoTominaga10.18926/mjou/33531No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566911959Some remarks on strictly Galois extensions of simple rings1317ENNobuoNobusawaHisaoTominaga10.18926/mjou/33399No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566321954Some remarks on radical ideals139142ENHisaoTominaga10.18926/mjou/33179No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662521983Some remarks on normal classes of semiprime rings139143ENMotoshiHongan10.18926/mjou/33365No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661421970Some remarks on invariant subrings123128ENKaoruMotoseHisaoTominaga10.18926/mjou/33645No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566321954Some remarks on homotopy groups of rotation groups129133ENMasahiroSugawara10.18926/mjou/33184No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566821958Some remarks on homotopy equivalences and H-spaces125131ENMasahiroSugawaraNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662411982Some remarks on bisimple rings1519ENYasuyukiHiranoHisaoTominaga10.18926/mjou/33990No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661411969Some remarks on asymptotes in a metric space5357ENShigekazuHagiwara10.18926/mjou/33657No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-1566911959Some remarks on Galois extensions of division rings1317ENTakasiNagaharaHisaoTominaga10.18926/mjou/33397No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662411982Some polynomial identities and commutativity of s-unital rings713ENYasuyukiHiranoYujiKobayashiHisaoTominaga10.18926/mjou/33988No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662421982Some polynomial identities and commutativity of s-unital rings. II111115ENYasuyukiHiranoHisaoTominagaAdilYaqub10.18926/mjou/33979No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662911987Some periodicity conditions for rings179183ENHoward E.BellAdilYaqub10.18926/mjou/33274No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662611984Some p-Galois extensions of commutative rings4348ENMitsuruSanemasa10.18926/mjou/33323No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663011988Some new cryptosystems based on feedback shift register sequences121149ENHaraldNiederreiter10.18926/mjou/33548No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662711985Some integral formulas for Riemannian manifolds217220ENMakotoYawata10.18926/mjou/33446No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661411969Some generalizations of duality theorems in mathematical programming problems6981ENMaretsuguYamasaki10.18926/mjou/33660No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665912017Some examples of non-tidy spaces2125ENTakahiroMatsushitaGraduate School of Mathematical Sciences, The University of Tokyo10.18926/mjou/54711We construct a free Z<sub>2</sub>-space <i>X<sub>n</sub></i> for a positive integer <i>n</i> such that <i>w<sub>1</sub>(X<sub>n</sub>)<sup>n</sup></i> ≠ 0 but there is no Z<sub>2</sub>-map from <i>S</i><sup>2</sup> to <i>X<sub>n</sub></i>.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662811986Some conditions for commutativity of rings97100ENHisaoTominaga10.18926/mjou/33932No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662311981Some commutativity theorems for n-torsion free rings3739ENEvagelosPsomopoulosHisaoTominagaAdilYaqub10.18926/mjou/33859No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662311981Some commutativity theorems for semi-prime rings. II711ENYasuyukiHiranoMotoshiHonganHisaoTominaga10.18926/mjou/33862No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662611984Some commutativity theorems for prime rings with derivations and differentially semiprime rings101108ENYasuyukiHiranoHisaoTominaga10.18926/mjou/33336No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662611984Some commutativity results for rings with certain polynomial identities133136ENAmir H.Yamini10.18926/mjou/33345No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662521983Some commutativity properties for rings. II173179ENHisaoTominagaAdilYaqub10.18926/mjou/33367No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662511983Some commutativity properties for rings8186ENHisaoTominagaAdilYaqub10.18926/mjou/33387No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662911987Some commutativity conditions191192ENHisaoTominaga10.18926/mjou/33280No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662711985Some arithmetical properties on 2~2 integral matrices135146ENTakeoFunakuraNobuakiMorimoto10.18926/mjou/33451No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661921977Some applications of the character analogue of the Poisson summation formula111119ENTakeshiKano10.18926/mjou/33408No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663511993Some Torsion-free Subgroups in Group Rings1728ENTôruFurukawa10.18926/mjou/33480No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664212000Some Toda Bracket in π<sup>s</sup><sub>26</sub>(S<sup>0</sup>)8388ENYoshihiroHiratoJunoMukai10.18926/mjou/33286No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661611973Some Riemannian manifolds admitting a concircular scalar field19ENMasamiFujii10.18926/mjou/33775No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663111989Some Results on the Weak Normalization of an Integral Domain923ENDavid E.DobbsMarcoFontana10.18926/mjou/33235No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664111999Some Results on Littlewood's Problem and Orlicz's Problem121136ENKazuoGoto10.18926/mjou/33629<p>We give a concrete example to the known problem of Littlewood by applying the stationary phase ( or saddle point ) method.We also give a trigonometric series which is not Borel summable and not a Fourier series. The result is an affirmative answer to Orliczfs problem.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664912007Some Results on (,)-Lie Ideals5964ENEvrimGüvenKazimKayaMuharremSoytürk10.18926/mjou/33113<p>In this note we give some basic results on one sided(σ,τ)-Lie ideals of prime rings with characteristic not 2.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664912007Some Questions on the Ideal Class Group of Imaginary Abelian Fields185196ENTsuyoshiItoh10.18926/mjou/33114<p>Let k be an imaginary quadratic field. Assume that the
class number of k is exactly an odd prime number p, and p splits into two distinct primes in k. Then it is known that a prime ideal lying above p is not principal. In the present paper, we shall consider a question whether a similar result holds when the class number of k is 2p. We
also consider an analogous question for the case that k is an imaginary quartic abelian field.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664712005Some Metric Invariants of Spheres and Alexandrov Spaces II193202ENNobuyukiSochi10.18926/mjou/33607<p>A metric invariant a<sub>k</sub> is defined, and we have that a<sub>k</sub>(X) ≤ a<sub>k</sub>(S<sup>n</sup>) holds in an Alexandrov space X with curvature ≥ 1([So]). And the borderline case when a<sub>2p-1</sub>(X) = a<sub>2p-1</sub>(S<sup>n</sup>) and a<sub>k</sub>(S<sup>n</sup>) are studied.</p>
No potential conflict of interest relevant to this article was reported.