| 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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 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_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 |
| 巻 | 63巻 |
| 号 | 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 | 英語 |
| 著作権者 | Copyright©2021 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 |
| 巻 | 8巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 8巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 8巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 8巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 8巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 8巻 |
| 号 | 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 | 英語 |
| 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 |
| 巻 | 8巻 |
| 号 | 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 | 英語 |
| 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_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 |
| 巻 | 8巻 |
| 号 | 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 | 英語 |
| 著作権者 | Copyright©1958 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_001_011.pdf |
|---|---|
| 著者 | Hoshi, Yuichiro| |
| 抄録 | 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. |
| キーワード | abelian variety torsion point curve p-rank |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 1 |
| 終了ページ | 11 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_013_029.pdf |
|---|---|
| 著者 | Seita, Kohei| |
| 抄録 | Let G be a finite group. In 1970s, T. Petrie defined the Smith equivalence of real G-modules. The Smith set of G is the subset of the real representation ring consisting of elements obtained as differences of Smith equivalent real G-modules. Various results of the topic have been obtained. The d-Smith set of G is the set of all elements [V ]−[W] in the Smith set of G such that the H-fixed point sets of V and W have the same dimension for all subgroups H of G. The results of the Smith sets of the alternating groups and the symmetric groups are obtained by E. Laitinen, K. Pawa lowski and R. Solomon. In this paper, we give the calculation results of the d-Smith sets of the alternating groups and the symmetric groups. In addition, we give the calculation results of the d-Smith sets of Cartesian products of the alternating groups and finite elementary abelian 2-groups. |
| キーワード | Real G-module Smith equivalence Oliver group alternating group |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 13 |
| 終了ページ | 29 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |