フルテキストURL mjou_008_189_194.pdf
著者 Nagahara, Takasi| Nobusawa, Nobuo| Tominaga, Hisao|
発行日 1958-12
出版物タイトル Mathematical Journal of Okayama University
8巻
2号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 189
終了ページ 194
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_008_181_188.pdf
著者 Nagahara, Takashi|
発行日 1958-12
出版物タイトル Mathematical Journal of Okayama University
8巻
2号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 181
終了ページ 188
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_008_143_179.pdf
著者 Otsuki, Tominosuke|
発行日 1958-12
出版物タイトル Mathematical Journal of Okayama University
8巻
2号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 143
終了ページ 179
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_008_133_142.pdf
著者 Nagahara, Takasi| Onodera, Takesi| Tominaga, Hisao|
発行日 1958-12
出版物タイトル Mathematical Journal of Okayama University
8巻
2号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 133
終了ページ 142
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_008_125_131.pdf
著者 Sugawara, Masahiro|
発行日 1958-12
出版物タイトル Mathematical Journal of Okayama University
8巻
2号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 125
終了ページ 131
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_008_117_123.pdf
著者 Tominaga, Hisao|
発行日 1958-12
出版物タイトル Mathematical Journal of Okayama University
8巻
2号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 117
終了ページ 123
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_008_107_116.pdf
著者 Ōtsuki, Tominosuke|
発行日 1958-12
出版物タイトル Mathematical Journal of Okayama University
8巻
2号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 107
終了ページ 116
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_008_001_106.pdf
著者 Koseki, Ken'iti|
発行日 1958-6
出版物タイトル Mathematical Journal of Okayama University
8巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 1
終了ページ 106
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_201_217.pdf
著者 Kojima, Takuya| Oshita, Yoshihito|
抄録 We show linear stability or instability for radially symmet-ric equilibrium solutions to the system of interface equation and two parabolic equations arising in the singular limit of three-component activator-inhibitor models.
キーワード singular limit problem equilibrium solutions linear stability
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 201
終了ページ 217
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_183_199.pdf
著者 Baba, Yoshitomo|
抄録 In [8] M. Harada studied a left artinian ring R such that every non-small left R-module contains a non-zero injective submodule. And in [13] K. Oshiro called the ring a left Harada ring (abbreviated left H-ring). We can see many results on left Harada rings in [6] and many equivalent conditions in [4, Theorem B]. In this paper, to characterize two-sided Harada rings, we intruduce new concepts “co-H-sequence” and “H-epimorphism” and study them.
キーワード Harada ring Artinian ring
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 183
終了ページ 199
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_175_182.pdf
著者 Chinen, Koji|
抄録 In this note, we establish an analog of the Mallows-Sloane bound for Type III formal weight enumerators. This completes the bounds for all types (Types I through IV) in synthesis of our previous results. Next we show by using the binomial moments that there exists a family of polynomials divisible by three, which are not related to linear codes but are invariant under the MacWilliams transform for the value 3/2. We also discuss some properties of the zeta functions for such polynomials.
キーワード Binomial moment Divisible code Invariant polynomial ring Zeta function for codes Riemann hypothesis
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 175
終了ページ 182
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_167_173.pdf
著者 Puthenpurakal, Tony J.|
抄録 Let (A, m) be an excellent normal domain of dimension two. We define an m-primary ideal I to be a pg -ideal if the Rees algebra A[It] is a Cohen-Macaulay normal domain. If A has infinite residue field then it follows from a result of Rees that the product of two pg ideals is pg . When A contains an algebraically closed field k ∼= A/m then Okuma, Watanabe and Yoshida proved that A has pg -ideals and furthermore product of two pg -ideals is a pg ideal. In this article we show that if A is an excellent normal domain of dimension two containing a field k ∼= A/m of characteristic zero then also A has pg -ideals.
キーワード pg -ideal normal Rees rings Cohen-Macaulay rings stable ideals
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 167
終了ページ 173
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_153_165.pdf
著者 Seita, Kohei|
抄録 Let 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 Σ with exactly two G-fixed points, say a and b, such that the tangential G-representations at a and b of Σ 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.
キーワード Real G-module Smith equivalence representation ring Oliver group
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 153
終了ページ 165
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_133_151.pdf
著者 Aokage, Kazuya|
抄録 We derive the Schur function identities coming from the tensor products of the spin representations of the symmetric group Sn. We deal with the tensor products of the basic spin representation V (n) and any spin representation V λ (λ ∈ SP (n)). The characteristic map of the tensor product ζn ⊗ ζλ is described by Stembridge[4] for the case of odd n. We consider the case n is even.
キーワード symmetric group symmetric function projective representation
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 133
終了ページ 151
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_123_131.pdf
著者 Lee, Min Ho|
抄録 Given Jacobi forms, we determine associated Jacobi-like forms, whose coefficients are quasimodular forms. We then use these quasimodular forms to construct differential operators on modular forms, which are expressed in terms of the Fourier coefficients of the given Jacobi forms.
キーワード Jacobi forms Jacobi-like forms modular forms quasimodular forms
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 123
終了ページ 131
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_107_122.pdf
著者 Kato, Ryo| Shimomura, katsumi|
抄録 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.
キーワード Stable homotopy of spheres Adams spectral sequence May spectral sequence
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 107
終了ページ 122
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_087_105.pdf
著者 Zdzisław, Wojtkowiak|
抄録 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.
キーワード multiple zeta values Galois groups fundamental groups
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 87
終了ページ 105
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_061_086.pdf
著者 Itaba, Ayako| Matsuno, Masaki|
抄録 Classification of AS-regular algebras is one of the main interests in non-commutative algebraic geometry. Recently, a complete list of superpotentials (defining relations) of all 3-dimensional AS-regular algebras which are Calabi-Yau was given by Mori-Smith (the quadratic case) and Mori-Ueyama (the cubic case), however, no complete list of defining relations of all 3-dimensional AS-regular algebras has not appeared in the literature. In this paper, we give all possible defining relations of 3-dimensional quadratic AS-regular algebras. Moreover, we classify them up to isomorphism and up to graded Morita equivalence in terms of their defining relations in the case that their point schemes are not elliptic curves. In the case that their point schemes are elliptic curves, we give conditions for isomorphism and graded Morita equivalence in terms of geometric data.
キーワード AS-regular algebras geometric algebras quadratic algebras nodal cubic curves elliptic curves Hesse form Sklyanin algebras
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 61
終了ページ 86
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_053_060.pdf
著者 Iokibe, Gaku|
抄録 In this paper, we refine the method introduced by Izadi and Baghalaghdam to search integer solutions to the Diophantine equation<img src="http://www.lib.okayama-u.ac.jp/www/mjou/mjou_63_53.png">. We show that the Diophantine equation has infinitely many positive solutions.
キーワード Diophantine equations Elliptic Curves
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 53
終了ページ 60
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_063_015_052.pdf
著者 da Silva, Luiz C. B.|
抄録 We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, the simply and pseudo isotropic geometries are the study of a three-dimensional space equipped with a rank 2 metric of index zero and one, respectively. We show that the one-parameter subgroups of isotropic rigid motions lead to seven types of invariant surfaces, which then generalizes the study of revolution and helicoidal surfaces in Euclidean and Lorentzian spaces to the context of singular metrics. After computing the two fundamental forms of these surfaces and their Gaussian and mean curvatures, we solve the corresponding problem of prescribed curvature for invariant surfaces whose generating curves lie on a plane containing the degenerated direction.
キーワード Simply isotropic space pseudo-isotropic space singular metric invariant surface prescribed Gaussian curvature prescribed mean curvature
発行日 2021-01
出版物タイトル Mathematical Journal of Okayama University
63巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 15
終了ページ 52
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University