| Author | Hai, Pham Viet| Thanh, Le Ngoc| |
|---|---|
| Published Date | 2011-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume53 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/41405 |
| Author | Agaoka, Yoshio| |
|---|---|
| Published Date | 2011-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume53 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/41406 |
| Author | Tamura, Hideo| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53916 |
| Author | Tamura, Hideo| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53917 |
| Author | Tamura, Hideo| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53918 |
| Author | Ōshima, Hideaki| Ōshima, Katsumi| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53919 |
| Author | Ichimura, Humio| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53920 |
| Author | Hirano, Yasuyuki| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53921 |
| Author | Nagata, Makoto| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53922 |
| Author | Komatsu, Toru| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53923 |
| Author | Yamanaka, Satoshi| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53924 |
| Author | TRIMÈCHE, Khalifa| |
|---|---|
| Published Date | 2016-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume58 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53925 |
| FullText URL | mjou_066_001_030.pdf |
|---|---|
| Author | Horie, Madoka| |
| Abstract | Let N be a positive integer. For any positive integer L ≤ N and any positive divisor r of N, we enumerate the equivalence classes of dessins d’enfants with N edges, L faces and two vertices whose representatives have automorphism groups of order r. Further, for any non-negative integer h, we enumerate the equivalence classes of dessins with N edges, h faces of degree 2 with h ≤ N, and two vertices whose representatives have automorphism group of order r. Our arguments are essentially based upon a natural one-to-one correspondence between the equivalence classes of all dessins with N edges and the equivalence classes of all pairs of permutations whose entries generate a transitive subgroup of the symmetric group of degree N. |
| Keywords | dessin d’enfants symmetric group combinatorics Riemann surface |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 1 |
| End Page | 30 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_066_031_044.pdf |
|---|---|
| Author | Motegi, Yuki| |
| Abstract | Multiple Hook Removing Game (MHRG for short) introduced in [1] is an impartial game played in terms of Young diagrams. In this paper, we give a characterization of the set of all game positions in MHRG. As an application, we prove that for t ∈ Z≥0 and m, n ∈ N such that t ≤ m ≤ n, and a Young diagram Y contained in the rectangular Young diagram Yt,n of size t × n, Y is a game position in MHRG with Ym,n the starting position if and only if Y is a game position in MHRG with Yt,n−m+t the starting position, and also that the Grundy value of Y in the former MHRG is equal to that in the latter MHRG. |
| Keywords | Young diagram hook combinatorial game Grundy value |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 31 |
| End Page | 44 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_066_045_061.pdf |
|---|---|
| Author | Nakamura, Tomoya| |
| Abstract | We define Dirac pairs on Jacobi algebroids, which is a generalization of Dirac pairs on Lie algebroids introduced by Kosmann-Schwarzbach. We show the relationship between Dirac pairs on Lie and on Jacobi algebroids, and that Dirac pairs on Jacobi algebroids characterize several compatible structures on Jacobi algebroids. |
| Keywords | Dirac pair Dirac structure Jacobi algebroid Lie algebroid |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 45 |
| End Page | 61 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_066_063_069.pdf |
|---|---|
| Author | Kishi, Yasuhiro| Yamada, Mei| |
| Abstract | In this article, we give two families of dihedral quintic polynomials by using the Weber sextic resolvent and a certain elliptic curve. |
| Keywords | Quintic polynomials Galois group |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 63 |
| End Page | 69 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_066_071_083.pdf |
|---|---|
| Author | Jinzenji, Masao| Tajima, Yu| |
| Abstract | In this paper, we first propose a cohomological derivation of the celebrated Euler’s Pentagonal Number Theorem. Then we prove an identity that corresponds to a bosonic extension of the theorem. The proof corresponds to a cohomological re-derivation of Euler’s another celebrated identity. |
| Keywords | partitions of integers cohomology Euler number Euler’s pentagonal number theorem |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 71 |
| End Page | 83 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_066_085_102.pdf |
|---|---|
| Author | Akorede, Moses B.| Arawomo, Peter O.| |
| Abstract | In this paper, we discuss the existence and uniqueness of positive solutions to a singular boundary value problem of fractional differential equations with three-point integral boundary conditions. The nonlinear term f possesses singularity and also depends on the first-order derivative u′. Our approach is based on Leray-Schauder fixed point theorem and Banach contraction principle. Examples are presented to confirm the application of the main results. |
| Keywords | Fractional derivative positive solutions singularity three-point boundary value problem cone |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 85 |
| End Page | 102 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_066_103_113.pdf |
|---|---|
| Author | Puthenpurakal, Tony J.| |
| Abstract | Let (A,m) be an excellent Henselian Cohen-Macaulay local ring of finite representation type. If the AR-quiver of A is known then by a result of Auslander and Reiten one can explicity compute G(A) the Grothendieck group of finitely generated A-modules. If the AR-quiver is not known then in this paper we give estimates of G(A)Q = G(A) ⊗Z Q when k = A/m is perfect. As an application we prove that if A is an excellent equi-characteristic Henselian Gornstein local ring of positive even dimension with char A/m ≠ 2, 3, 5 (and A/m perfect) then G(A)Q ≅ Q. |
| Keywords | Grothendieck group finite representation type AR sequence |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 103 |
| End Page | 113 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_066_115_124.pdf |
|---|---|
| Author | Maruyama, Takashi| Seto, Tatsuki| |
| Abstract | In this paper, we generalize the Cantor function to 2-dimensional cubes and construct a cyclic 2-cocycle on the Cantor dust. This cocycle is non-trivial on the pullback of the smooth functions on the 2-dimensional torus with the generalized Cantor function while it vanishes on the Lipschitz functions on the Cantor dust. The cocycle is calculated through the integration of 2-forms on the torus by using a combinatorial Fredholm module. |
| Keywords | Fredholm module Cantor dust cyclic cocycle |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 115 |
| End Page | 124 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
