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FullText URL mjou_064_215_225.pdf
Author Hyodo, Fumitake|
Abstract This paper focuses on the theory of the Hecke rings associated with the general linear groups originally studied by Hecke and Shimura et al., and moreover generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory.
Keywords Hecke rings noncommutative rings
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 215
End Page 225
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_191_213.pdf
Author Suzuki, Takeshi| Toyosawa, Yoshitaka|
Abstract We present a conjectural hook formula concerning the number of the standard tableaux on "cylindric" skew diagrams. Our formula can be seen as an extension of Naruse's hook formula for skew diagrams. Moreover, we prove our conjecture in some special cases.
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 191
End Page 213
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_187_190.pdf
Author Puthenpurakal, Tony J. |
Abstract Let K be a field and consider the standard grading on A = K[X1, ... ,Xd]. Let I, J be monomial ideals in A. Let In(J) = (In : J) be the nth symbolic power of I with respect to J. It is easy to see that the function fI J (n) = e0(In(J)/In) is of quasi-polynomial type, say of period g and degree c. For n ≫ 0 say

fIJ (n) = ac(n)nc + ac−1(n)nc−1 + lower terms,

where for i = 0, ... , c, ai : N → Q are periodic functions of period g and ac ≠0. In [4, 2.4] we (together with Herzog and Verma) proved that dim In(J)/In is constant for n ≫ 0 and ac(−) 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 ac−1(−) is also a constant.
Keywords quasi-polynomials monomial ideals symbolic powers
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 187
End Page 190
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_153_186.pdf
Author Nishiyama, Yuta|
Abstract In this article, we introduce some identities obtained from the inner products of some symmetric polynomials including the Macdonald polynomials. These identities are obtained not only from the inner products, but also by constructing certain bijections. The bijections are constructed through transforming the Young diagrams of partitions.
Keywords Macdonald polynomials Young diagram bijective proof
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 153
End Page 186
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_143_151.pdf
Author Aokage, Kazuya | Tabata, Sumitaka | Yamada, Hiro-Fumi|
Abstract A quantum version of classical Sylvester-Franke theorem is presented. After reviewing some representation theory of the quantum group GLq (n, C), the commutation relations of the matrix elements are verified. Once quantum determinant of the representation matrix is defined, the theorem follows naturally
Keywords Quantum general linear group Sylvester-Franke theorem
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 143
End Page 151
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_117_141.pdf
Author Wang, Qi|
Abstract As the first attempt to classify τ-tilting finite two-point algebras, we have determined the τ-tilting finiteness for minimal wild two-point algebras and some tame two-point algebras.
Keywords Support τ-tilting modules τ-tilting finite two-point algebras
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 117
End Page 141
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_109_116.pdf
Author Yagita, Nobuaki|
Abstract Let p be a prime number. For a given finite group G, let gr*γ(BG) be the associated ring of the gamma filtration of the topological K-theory for the classifying space BG. In this paper, we study gr*γ(BG) when G are abelian p-groups which are not elementary. In particular, we extend related Chetard’s results for such 2-groups to p-groups for odd p.
Keywords K-theory gamma fitration abelian p-group
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 109
End Page 116
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_075_107.pdf
Author Nagamachi, Ippei|
Abstract We give good reduction criteria for hyperbolic polycurves, i.e., successive extensions of families of curves, under some assumptions. These criteria are higher dimensional versions of the good reduction criterion for hyperbolic curves given by Oda and Tamagawa.
Keywords good reduction, hyperbolic curve, polyucurve, ètale fundamental group.
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 75
End Page 107
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_063_073.pdf
Author Tasaka, Koji|
Abstract A partial answer to a conjecture about the rank of the matrix CN,r introduced by Francis Brown in the study of totally odd multiple zeta values is given.
Keywords Multiple zeta values Period polynomials
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 63
End Page 73
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_047_061.pdf
Author Yamanaka, Satoshi|
Abstract The notion of weakly separable extensions was introduced by N. Hamaguchi and A. Nakajima as a generalization of separable extensions. The purpose of this article is to give a characterization of weakly separable polynomials in skew polynomial rings. Moreover, we shall show the relation between separability and weak separability in skew polynomial rings of derivation type.
Keywords separable extension weakly separable extension skew polynomial ring derivation
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 47
End Page 61
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_031_045.pdf
Author Yamagishi, Hiroyuki|
Abstract We have the best constants of three kinds of discrete Sobolev inequalities on the complete bipartite graph with 2N vertices, that is, KN,N. We introduce a discrete Laplacian A on KN,N. A is a 2N ×2N real symmetric positive-semidefinite matrix whose eigenvector corresponding to zero eigenvalue is 1 = t(1, 1, … , 1)∈ C2N. A discrete heat kernel, a Green’s matrix and a pseudo Green’s matrix play important roles in giving the best constants.
Keywords Discrete Sobolev inequality Discrete Laplacian Green’s matrix Reproducing relation
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 31
End Page 45
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_013_029.pdf
Author Seita, Kohei|
Abstract 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.
Keywords Real G-module Smith equivalence Oliver group alternating group
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 13
End Page 29
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL mjou_064_001_011.pdf
Author Hoshi, Yuichiro|
Abstract In the present paper, we consider torsion points on ample divisors on abelian varieties. We prove that, for each integer n ≤ 2, an effective divisor of level n on an abelian variety does not contain the subgroup of n-torsion points. Moreover, we also discuss an application of this result to the study of the p-rank of cyclic coverings of curves in positive characteristic.
Keywords abelian variety torsion point curve p-rank
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 1
End Page 11
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
FullText URL fulltext20211026-3.pdf Supplementary_Information_of_Nagaki_Rev.pdf
Author Nagaki, Kiyotaka| Furuta, Tomoyuki| Yamaji, Naoki| Kuniyoshi, Daichi| Ishihara, Megumi| Kishima, Yuji| Murata, Minoru| Hoshino, Atsushi| Takatsuka, Hirotomo|
Keywords Machine learning deep learning mitotic cell chromosome tetrad microscope
Note This is an Accepted Manuscript of an article published by Springer.
This fulltext is available in Oct. 2022.|
Published Date 2021-10-14
Publication Title Chromosome Research
Volume volume29
Issue issue3-4
Publisher Springer Science and Business Media LLC
Start Page 361
End Page 371
ISSN 0967-3849
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © The Author(s), under exclusive licence to Springer Nature B.V. 2021
File Version author
DOI 10.1007/s10577-021-09676-z
FullText URL fulltext20211026-2.pdf
Author Hisano, Hiroshi| Abe, Fumitaka| Hoffie, Robert E.| Kumlehn, Jochen|
Keywords barley CRISPR maize rice TALEN wheat zinc-finger nucleases
Note 出典:Breeding Science 71(4) 405-416, 2021 https://doi.org/10.1270/jsbbs.21019| 許可を得て出版社版を登録しています。|
Published Date 2021-10-01
Publication Title Breeding Science
Volume volume71
Issue issue4
Publisher Japanese Society of Breeding
Start Page 405
End Page 416
ISSN 1344-7610
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders (C) 2021 Japanese Society of Breeding
File Version publisher
DOI 10.1270/jsbbs.21019
Related Url isVersionOf https://doi.org/10.1270/jsbbs.21019
FullText URL fulltext20211026-1.pdf Supplementary Figures.docx Supplementary Table S1.docx Supplementary Table S2.xlsx Supplementary Table S3.docx Supplementary Table S4.docx Supplementary Table S5.xls Supplementary Table S6.docx
Author Sheta, Mona| Hassan, Ghmkin| Afify, Said M.| Monzur, Sadia| Kumon, Kazuki| Abu Quora, Hagar A.| Farahat, Mahmoud| Zahra, Maram H.| Fu, Xiaoying| Seno, Akimasa| Seno, Masaharu|
Keywords Cancer initiation Cancer stem cells iPSCs FGF2 Chronic inflammation
Note ©2021 Elsevier BV. This manuscript version is made available under the CC-BY-NC-ND 4.0 License.http://creativecommons.org/licenses/by-nc-nd/4.0/.This is the accepted manuscript version. The formal published version is available at [https://doi.org/10.1016/j.canlet.2021.08.026] .|
Published Date 2021-11
Publication Title Cancer Letters
Volume volume521
Issue issue28
Publisher Elsevier BV
Start Page 142
End Page 154
ISSN 0304-3835
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2021 Elsevier B.V.
File Version author
PubMed ID 34455015
DOI 10.1016/j.canlet.2021.08.026
Web of Science KeyUT 000704341600001
Related Url isVersionOf https://doi.org/10.1016/j.canlet.2021.08.026
FullText URL fulltext.pdf
Author Jing, Zihuan| Wacera, Fiona W.| Takami, Tsuneaki| Takanashi, Hideki| Fukada, Fumi| Kawano, Yoji| Kajiya-Kanegae, Hiromi| Iwata, Hiroyoshi| Tsutsumi, Nobuhiro| Sakamoto, Wataru|
Published Date 2021-10-06
Publication Title Scientific Reports
Volume volume11
Issue issue1
Publisher Nature Portfolio
Start Page 19828
ISSN 2045-2322
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © The Author(s) 2021
File Version publisher
PubMed ID 34615901
DOI 10.1038/s41598-021-98908-7
Web of Science KeyUT 000706380800049
Related Url isVersionOf https://doi.org/10.1038/s41598-021-98908-7
FullText URL fulltext.pdf
Author Okamura, Hirohiko| Hirota, Katsuhiko| Yoshida, Kaya| Weng, Yao| He, Yuhan| Shiotsu, Noriko| Ikegame, Mika| Uchida-Fukuhara, Yoko| Tanai, Airi| Guo, Jiajie|
Keywords Extracellular vesicles Outer membrane vesicles Porphyromonas gingivalis Host cell interaction In vivo imaging
Published Date 2021-11
Publication Title Japanese Dental Science Review
Volume volume57
Publisher Elsevier Ltd.
Start Page 138
End Page 146
ISSN 1882-7616
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2021 The Authors.
File Version publisher
PubMed ID 34484474
DOI 10.1016/j.jdsr.2021.07.003
Web of Science KeyUT 000704811500018
Related Url isVersionOf https://doi.org/10.1016/j.jdsr.2021.07.003
FullText URL fulltext.pdf
Author Kitamura, Wataru| Ennishi, Daisuke| Yukawa, Ryoya| Sasaki, Ryo| Yoshida, Chikamasa| Takasuka, Hiroki| Fujiwara, Hideaki| Asada, Noboru| Nishimori, Hisakazu| Fujii, Keiko| Fujii, Nobuharu| Matsuoka, Ken-Ichi| Abe, Koji| Yoshino, Tadashi| Maeda, Yoshinobu|
Keywords peripheral T-cell lymphoma chorea single photon-emission computed tomography
Published Date 2021-10-01
Publication Title Internal Medicine
Volume volume60
Issue issue19
Publisher The Japanese Society of Internal Medicine
Start Page 3155
End Page 3160
ISSN 0918-2918
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2021 The Japanese Society of Internal Medicine
File Version publisher
PubMed ID 33814503
DOI 10.2169/internalmedicine.7180-21
Web of Science KeyUT 000706487700015
Related Url isVersionOf https://doi.org/10.2169/internalmedicine.7180-21
FullText URL fulltext.pdf
Author Inai, Ryota| Nakahara, Ryuichi| Morimitsu, Yusuke| Akagi, Noriaki| Marukawa, Youhei| Matsushita, Toshi| Tanaka, Takashi| Tada, Akihiro| Hiraki, Takao| Nasu, Yoshihisa| Nishida, Keiichiro| Ozaki, Toshifumi| Kanazawa, Susumu|
Keywords Osteoporosis Bone density Tomography (x-ray computed) X-ray microtomography
Published Date 2021-01-28
Publication Title European Radiology Experimental
Volume volume4
Issue issue1
Publisher Springer nature
Start Page 4
ISSN 2509-9280
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © The Author(s). 2020
File Version publisher
PubMed ID 31993864
DOI 10.1186/s41747-019-0135-0
Web of Science KeyUT 000705622700001
Related Url isVersionOf https://doi.org/10.1186/s41747-019-0135-0