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Author Kondo, Kei|
Keywords convex analysis Ehresmann fibration Lipschitz map nonsmooth analysis Reeb’s sphere theorem smooth approximation
Note This article will be available in April 2025.|
Published Date 2022-4-21
Publication Title Journal of the Mathematical Society of Japan
Volume volume74
Issue issue2
Publisher Mathematical Society of Japan (Project Euclid)
Start Page 521
End Page 548
ISSN 0025-5645
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders Copyright ©2022 Mathematical Society of Japan
File Version publisher
DOI 10.2969/jmsj/83448344
Web of Science KeyUT 000792493000001
Related Url isVersionOf https://doi.org/10.2969/jmsj/83448344
FullText URL fulltext20220509-3.pdf
Author Hayasaka, Futoshi|
Keywords integral closure indecomposable module monomial ideal regular local ring
Note © 2022 Elsevier B.V. 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.jpaa.2022.107026] .| This fulltext is available in Jan. 2024.|
Published Date 2022-08
Publication Title Journal of Pure and Applied Algebra
Volume volume226
Issue issue8
Publisher Elsevier BV
Start Page 107026
ISSN 0022-4049
NCID AA00705737
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2022 Elsevier B.V.
File Version author
DOI 10.1016/j.jpaa.2022.107026
Web of Science KeyUT 000778651000007
Related Url isVersionOf https://doi.org/10.1016/j.jpaa.2022.107026
FullText URL fulltext20220413-10.pdf
Author Ishibashi, Ippo| Uegatani, Yusuke|
Keywords Mathematical modeling Mathematical word problem-solving Validation Fictionality of word problems Creation of possible fictional worlds
Note © 2022 Elsevier Inc. 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.jmathb.2022.100934| This fulltext is available in Feb.2024.|
Published Date 2022-06
Publication Title The Journal of Mathematical Behavior
Volume volume66
Publisher Elsevier BV
Start Page 100934
ISSN 0732-3123
NCID AA10619799
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2022 Elsevier Inc.
File Version author
DOI 10.1016/j.jmathb.2022.100934
Web of Science KeyUT 000770650500001
Related Url isVersionOf https://doi.org/10.1016/j.jmathb.2022.100934
FullText URL fulltext20211206-2.pdf
Author JINZENJI, Masao| SAITO, Hayato|
Published Date 2021-10-22
Publication Title Journal of the Mathematical Society of Japan
Volume volume73
Issue issue4
Publisher Mathematical Society of Japan (Project Euclid)
Start Page 995
End Page 1018
ISSN 0025-5645
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2021 Microbiology Society.
File Version publisher
DOI 10.2969/jmsj/83148314
Web of Science KeyUT 000711190900001
Related Url isVersionOf https://doi.org/10.2969/jmsj/83148314
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
JaLCDOI 10.18926/AMO/62773
FullText URL 75_5_601.pdf
Author Mitsuhashi, Toshiharu|
Abstract Research suggests that the fundamental concepts of epidemiology cannot be sufficiently learned in traditional lectures, and interactive learning is necessary. However, few studies have investigated interactive epidemiology education in general, or peer instruction (PI) in particular. This study investigated the effect of PI. Study par-ticipants were fourth-year medical students. The attitude of participants in regard to PI learning was examined in a non-PI and a PI group. The Survey of Attitudes Toward Statistics (SATS) (containing six sub-categories) was conducted as a learning-attitudes index. The pre- and post-lecture scores were compared between the non-PI and PI groups using double robust (DR) estimation. The non-PI and PI groups consisted of 20 and 121 student participants, respectively. In DR estimation, affect exhibited the lowest SATS score changes, at −0.51 (95% confidence interval −0.78 to −0.24; p-value < 0.001), whereas effort exhibited the highest score changes of 0.01 (95% confidence interval −0.30 to 0.32; p-value = 0.952). The epidemiology lecture with PI did not increase the SATS scores. This might be due to issues related to the experimental design. Further research investigating the effects of interactive epidemiology education, it will be necessary to develop tools for assessing the learning of epidemiological concepts and to improve the research design.
Keywords medical students peer instruction epidemiological education learning attitude double robust esti-mation
Amo Type Original Article
Publication Title Acta Medica Okayama
Published Date 2021-10
Volume volume75
Issue issue5
Publisher Okayama University Medical School
Start Page 601
End Page 609
ISSN 0386-300X
NCID AA00508441
Content Type Journal Article
language English
Copyright Holders CopyrightⒸ 2021 by Okayama University Medical School
File Version publisher
Refereed True
PubMed ID 34703043
Web of Science KeyUT 000711561600007
NAID 120007166673
FullText URL fulltext20210928-2.pdf
Author Katsuhara, Koki| Tachiki, Yuuya| Iritani, Ryosuke| Ushimaru, Atushi|
Keywords Co-evolution evolutionary rescue inbreeding depression individual-based model mixed mating pollinator-mediated competition reproductive ecology selfing syndrome
Note This is the peer reviewed version of the following article: [Katsuhara, K. R., Tachiki, Y., Iritani, R., & Ushimaru, A. (2021). The eco-evolutionary dynamics of prior selfing rates promote coexistence without niche partitioning under conditions of reproductive interference. Journal of Ecology, 00, 1–13], which has been published in final form at [https://doi.org/10.1111/1365-2745.13768]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-ArchivedVersions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wileyor by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked toWiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof bythird parties from platforms, services and websites other than Wiley Online Library must be prohibited.
This fulltext is available in Sep. 2022.|
Published Date 2021-9-16
Publication Title Journal of Ecology
Volume volume109
Issue issue11
Publisher Wiley
Start Page 3916
End Page 3928
ISSN 0022-0477
NCID AA00696840
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2021 British Ecological Society
File Version author
DOI 10.1111/1365-2745.13768
Web of Science KeyUT 000696397800001
Related Url isVersionOf https://doi.org/10.1111/1365-2745.13768
FullText URL fulltext.pdf
Author Masuda, Takahiko| Ang, Daniel G.| Hutzler, Nicholas R.| Meisenhelder, Cole| Sasao, Noboru| Uetake, Satoshi| Wu, Xing| DeMille, David| Gabrielse, Gerald| Doyle, John M.| Yoshimura, Koji|
Published Date 2021-05-24
Publication Title Optics Express
Volume volume29
Issue issue11
Publisher Optical Soc Amer
Start Page 16914
End Page 16926
ISSN 1094-4087
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
File Version publisher
NAID 120007053367
DOI 10.1364/OE.424460
Web of Science KeyUT 000654369300081
Related Url isVersionOf https://doi.org/10.1364/OE.424460