Ozeki Kazuho 大関一秀

… Alternative Names

OZEKI Kazuho 大関一秀

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Researcher Number	70445849
Other IDs
Affiliation (Current)	2025: 日本大学, 文理学部, 教授
Affiliation (based on the past Project Information) *help	2023: 日本大学, 文理学部, 教授 2017 – 2022: 山口大学, 大学院創成科学研究科, 准教授 2016: 山口大学, 創成科学研究科, 准教授 2012 – 2015: 山口大学, 理工学研究科, 講師 2012: 山口大学, 大学院・理学研究科, 専任講師 2010 – 2011: 明治大学, 研究・知財戦略機構, ポスト・ドクター 2010: 明治大学, 研究・知財戦略機構, 研究員
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator ヒルベルト係数 / ヒルベルト函数 / 可換環論 / Sally加群 / 随伴次数環 / Rees代数 / 巴系イデアル / 局所環 / ブックスバウム環 / 重複度 … More / Cohen-Macaulay環 / 随伴次数間 / コーエン・マコ―レイ局所環 / d-列 / コーエン・マコ―レイ環 / 代数学 / FLCを持つ環 / コーエンマコーレイ環 … More Except Principal Investigator Buchsbaum環 / 重複度 / Hilbert係数 / Hilbert函数 / Ulrichイデアル/加群 / almost Gorenstein環 / Hilbert函数とHilbert係数 / generalized Cohen-Macaulay環 / Cohen-Macaulay環 / 可換環 / Almost Gorenstein ring / Ulrich ideal / Ulrich module / Cohen-Macaualy ring / 可換環論 / 環論(含リー環) Less

可換環論におけるヒルベルト函数論の展開Principal Investigator
- Principal Investigator
  
  大関一秀
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Nihon University
  Yamaguchi University
Development of local ring theory actively using the theory of Hilbert functionsPrincipal Investigator
- Principal Investigator
  
  Ozeki Kazuho
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Yamaguchi University
Hilbert function of local ringsPrincipal Investigator
- Principal Investigator
  
  Ozeki Kazuho
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamaguchi University
Research on the Hilbert functions in local ringsPrincipal Investigator
- Principal Investigator
  
  OZEKI Kazuho
- Project Period (FY)
  2013 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Yamaguchi University
Commutative algebra - towards a better understanding of non-Cohen-Macaulay rings
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Research on the Hilbert functions in commutative algebraPrincipal Investigator
- Principal Investigator
  
  OZEKI Kazuho
- Project Period (FY)
  2010 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Meiji University

[Journal Article] The first Euler characteristic and the depth of associated graded rings2024
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  第55回環論および表現論シンポジウム報告集
  
  Volume: 1 Pages: 89-96
- Data Source
  KAKENHI-PROJECT-21K03165
[Journal Article] Stretchedイデアルの節減数について2023
- Author(s)
  大関　一秀
- Journal Title
  
  第54回環論および表現論シンポジウム報告集
  
  Volume: なし Pages: 103-110
- Data Source
  KAKENHI-PROJECT-18K03241
[Journal Article] The reduction number of stretched ideals2022
- Author(s)
  OZEKI Kazuho
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 74 Issue: 4 Pages: 1021-1045
- DOI
  10.2969/jmsj/86498649
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03165
[Journal Article] The First Hilbert Coefficient of Stretched Ideals2022
- Author(s)
  Ozeki Kazuho
- Journal Title
  
  Acta Mathematica Vietnamica
  
  Volume: 47 Issue: 1 Pages: 251-267
- DOI
  10.1007/s40306-021-00470-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03165
[Journal Article] On Hilbert coefficients and sequentially Cohen-Macaulay rings2022
- Author(s)
  Ozeki Kazuho、Truong Hoang、Yen Hoang
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 150 Pages: 2367-2383
- DOI
  10.1090/proc/15883
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Journal Article] A filtration of the Sally module and the first normal Hilbert coefficient2021
- Author(s)
  Masuti Shreedevi K.、Ozeki Kazuho、Rossi Maria Evelina
- Journal Title
  
  Journal of Algebra
  
  Volume: 571 Pages: 376-392
- DOI
  10.1016/j.jalgebra.2018.06.025
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Journal Article] The structure of Sally modules and normal Hilbert coefficients2020
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  第52回環論および表現論シンポジウム報告集
  
  Volume: - Pages: 108-115
- Data Source
  KAKENHI-PROJECT-18K03241
[Journal Article] On the structure of the Sally module and the second normal Hilbert coefficient2020
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  第41回可換環論シンポジウム報告集
  
  Volume: - Pages: 176-183
- Data Source
  KAKENHI-PROJECT-18K03241
[Journal Article] On the structure of the Sally module and the second normal Hilbert coefficient2020
- Author(s)
  Masuti Shreedevi K., Ozeki Kazuho, Rossi Maria Evelina, Truong Hoang Le
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 148 Issue: 7 Pages: 2757-2771
- DOI
  10.1090/proc/14839
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Journal Article] A filtration of the Sally module and the first normal Hilbert coefficient2019
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  第40回可換環論シンポジウム報告集
  
  Volume: - Pages: 174-181
- Data Source
  KAKENHI-PROJECT-18K03241
[Journal Article] The first Hilbert coefficient and Buchsbaumness of associated graded rings2017
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  第38回可換環論シンポジウム報告集
  
  Volume: - Pages: 152-161
- Data Source
  KAKENHI-PROJECT-15K04820
[Journal Article] The structure of the Sally modules of integrally closed ideals2017
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  Proceedings of the 49th Symposium on Ring Theory and Representation Theory
  
  Volume: - Pages: 135-142
- Data Source
  KAKENHI-PROJECT-15K04820
[Journal Article] The structure of the Sally module of integrally closed ideals2017
- Author(s)
  Kazuho Ozeki and Maria Evelina Rossi
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 227 Pages: 49-76
- DOI
  10.1017/nmj.2016.47
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04820
[Journal Article] Sectional genera of parameter ideals2016
- Author(s)
  Shiro Goto and Kazuho Ozeki
- Journal Title
  
  Journal of Algebra
  
  Volume: 446 Pages: 58-76
- DOI
  10.1016/j.jalgebra.2015.09.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04820, KAKENHI-PROJECT-25400051
[Journal Article] The Chern and Euler coefficients of modules2015
- Author(s)
  L. Ghezzi, S. Goto, J. Hong, K. Ozeki, T. T. Phuong, and W. V. Vasconcelos
- Journal Title
  
  Acta Mathematica Vietnamica
  
  Volume: 40 Issue: 1 Pages: 37-60
- DOI
  10.1007/s40306-014-0096-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800020
[Journal Article] The second Hilbert coefficients and the homological torsions of parameters2015
- Author(s)
  Shiro Goto, Kazuho Ozeki
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 219 Issue: 5 Pages: 1685-1703
- DOI
  10.1016/j.jpaa.2014.07.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800020, KAKENHI-PROJECT-26400054, KAKENHI-PROJECT-15K04820, KAKENHI-PROJECT-25400051
[Journal Article] Ulrich ideals and modules2014
- Author(s)
  S. Goto, K. Ozeki, R. Takahashi, K. Watanabe, K. Yoshida
- Journal Title
  
  Math. Proc. Cambridge Philos. Soc.
  
  Volume: 156 Issue: 1 Pages: 137-166
- DOI
  10.1017/s0305004113000571
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340004, KAKENHI-PROJECT-25400038, KAKENHI-PROJECT-25400050, KAKENHI-PROJECT-25400051, KAKENHI-PROJECT-25800020
[Journal Article] The first Euler characteristics versus the homological degrees2014
- Author(s)
  S. Goto and K. Ozeki
- Journal Title
  
  The Proceedings of the 2012 Conference at IMPA，Bull Braz Math Soc
  
  Volume: 45 Issue: 4 Pages: 679-709
- DOI
  10.1007/s00574-014-0069-3
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400051, KAKENHI-PROJECT-25800020, KAKENHI-PROJECT-26400054
[Journal Article] The structure of Sally modules and Buchsbaumness of associated graded rings2013
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 212 Pages: 97-138
- DOI
  10.1215/00277630-2351002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800020
[Journal Article] The equality of Elias-Valla and the associated graded ring of maximal ideals2012
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  J. Pure and Applied Algebra
  
  Volume: Vol.216 Pages: 1306-1317
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Variation of the first Hilbert coefficients of parameters with a common integral closure2012
- Author(s)
  L. Ghezzi, S. Goto, K. Ozeki, J. Hong, T.T. Phuong, and W. V. Vasconcelos
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 216 Pages: 216-232
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Variation of the first Hilbert coefficients of parameters with a common integral closure2012
- Author(s)
  L.Ghezzi, S.Goto, J.Hong, K.Ozeki, T.T.Phuong, W.V.Vasconcelos
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 216 Pages: 216-232
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Variation of the first Hilbert coefficients of parameters with a common integral closure2012
- Author(s)
  L. Ghezzi, S. Goto, J. Hong, K. Ozeki, T. T. Phuong, and W. V. Vasconcelos
- Journal Title
  
  J. Pure and Applied Algebra
  
  Volume: Vol.216 Pages: 216-232
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] The equality of Elias-Valla and the associated graded ring of maximal ideals2012
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 216 Pages: 1306-1317
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Variation of the first Hilbert coefficients of parameters with a common integral closure2012
- Author(s)
  L. Ghezzi, S. Goto, K. Ozeki, J. Hong, T.T. Phuong, and W. V. Vasconcelos
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 216 Pages: 216-232
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The structure of Sally modules and Buchsbaumness of associated graded rings2011
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  IMS Technical Report
  
  Volume: NO. 00034 Pages: 1-35
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Uniform bounds for Hilbert coefficients of parameters2011
- Author(s)
  Shiro Goto and Kazuho Ozeki
- Journal Title
  
  Contemporary Mathematics
  
  Volume: Vol.555 Pages: 97-118
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] The structure of Sally modules and Buchsbaumness of associated graded ring2011
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  MIMS Technical Report
  
  Volume: 00034 Pages: 1-1
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] The equality of Elias and Valla and Buchsbaumness of associated graded rings2011
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  第33回可換環論シンポジウム報告集
  
  Pages: 79-87
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Uniform bounds for Hubert coefficients of parameters2011
- Author(s)
  Shiro Goto, Kazuho Ozeki
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 555 Pages: 97-118
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Uniform bounds for Hilbert coefficients of parameters2011
- Author(s)
  Shiro Goto, Kazuho Ozeki
- Journal Title
  
  Proceedings of The 32^<nd> Symposium and The 6^<th> Japan-Vietnam Joint Seminar on Commutative Algebra
  
  Pages: 37-46
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] The first Hilbert coefficients of parameters2011
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  Proceedings of The 43^<rd> Symposium on Ring Theory and Representation Theory
  
  Pages: 43-52
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] 第1ヒルベルト係数によるイデアルの分類について2011
- Author(s)
  大関一秀
- Journal Title
  
  第7回数学総合若手研究集会テクニカルレポート
  
  Volume: 148 Pages: 51-58
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Buchsbaumnessin local rings possessing constant first Hilbert coefficients of parameters2010
- Author(s)
  S. Goto and K. Ozeki
- Journal Title
  
  Nagoya Math. J
  
  Volume: 199 Pages: 95-105
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The structure of Sally modules-towards a theory of non-Cohen-Macaulay cases-2010
- Author(s)
  Shiro Goto, Kazuho Ozeki
- Journal Title
  
  Journal of Algebra
  
  Volume: 324 Pages: 2129-2165
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters2010
- Author(s)
  Shiro Goto and Kazuho Ozeki
- Journal Title
  
  Nagoya Math. J.
  
  Volume: Vol.199 Pages: 95-105
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters2010
- Author(s)
  Shiro Goto, Kazuho Ozeki
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 199 Pages: 95-105
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] The structure of Sally modules. towards a theory of non-Cohen-Macaulay cases-2010
- Author(s)
  Shiro Goto and Kazuho Ozeki
- Journal Title
  
  J. Algebra
  
  Volume: Vol.324 Pages: 2129-2165
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] 巴系イデアルの第1ヒルベルト係数による局所環の分類について2010
- Author(s)
  大関一秀
- Journal Title
  
  第22回可換環論セミナー報告集
  
  Pages: 86-94
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals2010
- Author(s)
  L.Ghezzi, 後藤四郎, 大関一秀, J.Hong, T.T.Phuong, W.V.Vasconcelos
- Journal Title
  
  J.London Math.Soc.(2)
  
  Volume: 81 Pages: 679-695
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The structure of Sally modules-towards a theory of non-Cohen-Macaulay cases2010
- Author(s)
  後藤四郎, 大関一秀
- Journal Title
  
  J.Algebra
  
  Volume: 324 Pages: 2129-2165
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The structure of Sally modules - towards a theory of non-Cohen-Macaulay cases -2010
- Author(s)
  S. Goto and K. Ozeki
- Journal Title
  
  J. Algebra
  
  Volume: 324 Pages: 2129-2165
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals2010
- Author(s)
  L. Ghezzi, S. Goto, K. Ozeki, J. Hong, T.T. Phuong, and W. V. Vasconcelos
- Journal Title
  
  J. London Math. Soc.
  
  Volume: 81(2) Pages: 679-695
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters2010
- Author(s)
  後藤四郎, 大関一秀
- Journal Title
  
  Nagoya Math.J.
  
  Volume: 199 Pages: 95-105
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals2010
- Author(s)
  L. Ghezzi, S. Goto, J. Hong, K. Ozeki, T. T. Phuong, and W. V. Vasconcelos
- Journal Title
  
  London Math. Soc.
  
  Volume: Vol.81 Pages: 679-696
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters2010
- Author(s)
  Kazuho Ozeki
- Journal Title
  
  Proceedings of The 5^<th> Japan-Vietnam Joint Seminar on Commutative Algebra
  
  Pages: 239-243
- Data Source
  KAKENHI-PROJECT-22740026
[Journal Article] Uniform bounds for Hilbert coefficients of parameters, "Commutative Algebra and its Connections to Geometry (PASI 2009)2009
- Author(s)
  S. Goto and K. Ozeki
- Journal Title
  
  Contemp. Math
  
  Volume: 555 Pages: 97-118
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] The first Hilbert coefficient and the reduction number of stretched ideals2023
- Author(s)
  Kazuho Ozeki
- Organizer
  第9回日中韓環論国際シンポジウム
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03165
[Presentation] The first Euler characteristic and the depth of associated graded ring2023
- Author(s)
  大関　一秀
- Organizer
  特異点セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03165
[Presentation] 第1オイラー標数と随伴次数環の深さについて2023
- Author(s)
  大関　一秀
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K03165
[Presentation] The first Euler characteristic and the depth of associated graded ring2023
- Author(s)
  Kazuho Ozeki
- Organizer
  第55回環論および表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-21K03165
[Presentation] Stretchedイデアルの節減数について2022
- Author(s)
  大関　一秀
- Organizer
  第54回環論および表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] Stretched idealの第1ヒルベルト係数について2022
- Author(s)
  大関　一秀
- Organizer
  東京可換環論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03165
[Presentation] The first Euler characteristic and the depth of associated graded rings2022
- Author(s)
  大関　一秀
- Organizer
  第43回可換環論シンポジウム
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] The first Hilbert coefficient of stretched ideals2022
- Author(s)
  大関一秀
- Organizer
  日本数学会2022年度年会
- Data Source
  KAKENHI-PROJECT-21K03165
[Presentation] The first Hilbert coefficient of stretched ideals2022
- Author(s)
  大関　一秀
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] The reduction number of stretched ideals2021
- Author(s)
  Kazuho Ozeki
- Organizer
  Virtual Commutative Algebra Seminars, IIT Bombay (India)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] The reduction number of stretched ideals2021
- Author(s)
  大関一秀
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K03165
[Presentation] Stretched idealの随伴次数環の構造について2021
- Author(s)
  大関一秀
- Organizer
  オンライン可換環論セミナー2021
- Data Source
  KAKENHI-PROJECT-21K03165
[Presentation] Sally modules of stretched m-primary ideals2020
- Author(s)
  大関一秀
- Organizer
  東京可換環論セミナー，東京大学（東京）
- Invited
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] A study of the structure of Sally modules-Introductory talk2020
- Author(s)
  Kazuho Ozeki
- Organizer
  WVU Algebra Seminar via ZOOM, West Virginia University (USA)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] On the structure of the Sally module and the second normal Hilbert coefficient2020
- Author(s)
  S. Masuti, K. Ozeki, M. E. Rossi, and H. L. Truong
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] A study of the structure of Sally modules-Research talk2020
- Author(s)
  Kazuho Ozeki
- Organizer
  WVU Algebra Seminar via ZOOM, West Virginia University (USA)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] The structure of Sally modules and the second normal Hilbert coefficient2019
- Author(s)
  Kazuho Ozeki
- Organizer
  Special Session on Commutative Algebra and its Environs at the Spring Central and Western Joint Meeting of the AMS, Honolulu (USA)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] On the structure of the Sally module and the second normal Hilbert coefficient2019
- Author(s)
  Kazuho Ozeki
- Organizer
  第41回可換環論シンポジウム
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] The structure of Sally modules and normal Hilbert coefficients2019
- Author(s)
  Kazuho Ozeki
- Organizer
  第8回日中韓環論国際シンポジウム
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] 第2正規ヒルベルト係数について2019
- Author(s)
  Kazuho Ozeki
- Organizer
  第32回可換環論セミナー
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] A study of the second normal Hilbert coefficient2018
- Author(s)
  Kazuho Ozeki
- Organizer
  Mini-Workshop on Commutative Algebra, 北海道教育大学札幌駅前サテライト（北海道札幌市）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] 正規化されたヒルベルト函数について2018
- Author(s)
  大関一秀
- Organizer
  第63回代数学シンポジウム，東京工業大学（東京）
- Invited
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] A filtration of the Sally module and the first normal Hilbert coefficient2018
- Author(s)
  Kazuho Ozeki
- Organizer
  第40回可換環論シンポジウム，レクトーレ葉山（神奈川）
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] A study of the first and second normal Hilbert coefficients2018
- Author(s)
  Kazuho Ozeki
- Organizer
  The 10th Japan-Vietnam Joint Seminar on Commutative Algebra, Hue University (Vietnam)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03241
[Presentation] The structure of the Sally modules of integrally closed ideals2017
- Author(s)
  Kazuho Ozeki
- Organizer
  Algebra & Geometry Seminar
- Place of Presentation
  Genova University (Genova, Italy)
- Year and Date
  2017-03-22
- Invited
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] Almost minimal normal Hilbert coefficients2017
- Author(s)
  Kazuho Ozeki
- Organizer
  International School and Workshop on Commutative Algebra, Ton Duc Thang University, Ho Chi Minh City (Vietnam)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] Almost minimal normal Hilbert coefficients2017
- Author(s)
  Kazuho Ozeki
- Organizer
  International Conference on Commutative Algebra and its interaction to Combinatorics, Discrete Geometry and Singularity Theory, Hanoi and Ha Long (Vietnam)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] The first Hilbert coefficient and Buchsbaumness of associated graded rings2017
- Author(s)
  Kazuho Ozeki
- Organizer
  International Workshop on Commutative Algebra
- Place of Presentation
  Thai Nguyen University　(Thai Nguyen, Vietnam)
- Year and Date
  2017-01-05
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] The first Hilbert coefficient and Buchsbaumness of associated graded rings2016
- Author(s)
  Kazuho Ozeki
- Organizer
  第38回可換環論シンポジウム
- Place of Presentation
  IPC生産性国際交流センター（神奈川県葉山市）
- Year and Date
  2016-11-21
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] 整閉イデアルのSally加群の構造について2016
- Author(s)
  大関一秀
- Organizer
  2016年度日本数学会年会
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] The structure of the Sally modules and the first Hilbert coefficient of ideals2016
- Author(s)
  Kazuho Ozeki
- Organizer
  Workshop on Commutative Algebra- Part II, Local Algebra and Representation Theory-
- Place of Presentation
  VIASM's villa (Tuan Chau, Vietnam)
- Year and Date
  2016-01-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] The structure of the Sally modules of integrally closed ideals2016
- Author(s)
  Kazuho Ozeki
- Organizer
  The 49th Symposium on Ring Theory and Representation Theory
- Place of Presentation
  大阪府立大学中百舌鳥キャンパス（大阪府堺市）
- Year and Date
  2016-08-31
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] The first two Hilbert coefficients and Buchsbaumness of associated graded rings2016
- Author(s)
  Kazuho Ozeki
- Organizer
  Japan-Vietnam Workshop on Commutative Algebra, -by and for young mathematicians- Local rings Combinatorics, and Representation Theory
- Place of Presentation
  明治大学生田キャンパス（神奈川県川崎市）
- Year and Date
  2016-09-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] The structure of the filtration of Sally modules2015
- Author(s)
  Kazuho Ozeki and Maria Evelina Rossi
- Organizer
  第37回可換環論シンポジウム
- Place of Presentation
  倉敷シーサイドホテル（岡山県倉敷市）
- Year and Date
  2015-11-20
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] The structure of the Sally module of integrally closed ideals2015
- Author(s)
  大関一秀
- Organizer
  Ring Theory and Representation Theory Seminar
- Place of Presentation
  名古屋大学多元数理科学研究科（愛知県名古屋市）
- Year and Date
  2015-12-14
- Data Source
  KAKENHI-PROJECT-15K04820
[Presentation] 巴系イデアルの第1オイラー標数とホモロジカル次数について2014
- Author(s)
  後藤四郎，大関一秀
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学（東京都豊島区）
- Data Source
  KAKENHI-PROJECT-25800020
[Presentation] 巴系イデアルの第1ヒルベルト係数とホモロジカルトーションについて2014
- Author(s)
  後藤四郎，大関一秀
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学（東京都豊島区）
- Data Source
  KAKENHI-PROJECT-25800020
[Presentation] The sectional genera and the second Hilbert coefficients of parameter ideals2014
- Author(s)
  Shiro Goto and Kazuho Ozeki
- Organizer
  The 36th Symposium on Commutative Algebra in Japan
- Place of Presentation
  IPC生産性国際交流センター（神奈川県葉山市）
- Year and Date
  2014-11-23
- Data Source
  KAKENHI-PROJECT-25800020
[Presentation] The first Euler characteristics versus the homological degrees2013
- Author(s)
  Kazuho Ozeki
- Organizer
  Commutative Algebra and its interaction to Algebraic Geometry and Combinatorics
- Place of Presentation
  Vietnam Institute for Advanced Study in Mathematics Hanoi (Vietnam)
- Invited
- Data Source
  KAKENHI-PROJECT-25800020
[Presentation] The first Euler characteristics versus the homological degrees2013
- Author(s)
  Kazuho Ozeki, Shiro Goto
- Organizer
  The 35th Japan Symposium on Commutative Algebra
- Place of Presentation
  RIMS Kyoto University (京都市)
- Data Source
  KAKENHI-PROJECT-25800020
[Presentation] Ulrich加群の一般化について2012
- Author(s)
  後藤四郎, 大関一秀, 高橋亮
- Organizer
  日本数学会2012年度年会
- Place of Presentation
  東京理科大学理学部(東京)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] 巴系イデアルのHilbert係数の挙動について2012
- Author(s)
  大関一秀
- Organizer
  九州代数幾何若手勉強会
- Place of Presentation
  九州大学伊都キャンパス(福岡)
- Year and Date
  2012-03-13
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] 正規ヒルベルト函数の挙動について2012
- Author(s)
  大関一秀
- Organizer
  第17回代数学若手研究会
- Place of Presentation
  静岡大学理学部(静岡)
- Year and Date
  2012-03-05
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] Ulrichイデアルの極小自由分解について2012
- Author(s)
  後藤四郎, 大関一秀, 高橋亮
- Organizer
  日本数学会2012年度年会
- Place of Presentation
  東京理科大学理学部(東京)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] The equality of Elias and Valla and Buchsbaumness of associated graded rings2011
- Author(s)
  Kazuho Ozeki
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  カリアック浜松(浜松)
- Year and Date
  2011-11-08
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] ホモロジカル次数と巴系イデアルのヒルベルト係数について2011
- Author(s)
  大関一秀
- Organizer
  第23回可換環論セミナー
- Place of Presentation
  山口総合保健会館(山口)
- Year and Date
  2011-02-02
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] The structure of Sally modules and Buchsbaumness of associated graded rings2011
- Author(s)
  Kazuho Ozeki
- Organizer
  The 7^<th> Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Quy Nhon University(ベトナム)
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] Hilbert coefficients of parameter ideals2011
- Author(s)
  Kazuho Ozeki
- Organizer
  The Sixth China-Japan-Korea International Conference on Ring and Module Theory Kyung Hee Univ
- Place of Presentation
  Korea
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] Ulrich加群の一般化2011
- Author(s)
  後藤四郎,高橋亮,大関一秀
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  浜名湖カリアック
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Elias-Vallaの等式と随伴次数環の構造について2011
- Author(s)
  大関一秀
- Organizer
  日本数学会2011年度秋季総合分科会
- Place of Presentation
  信州大学理学部(松本)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] Sharp bounds for Hilbert coefficients of parameters2011
- Author(s)
  Kazuho Ozeki
- Organizer
  第44回環論及び表現論シンポジウム
- Place of Presentation
  岡山大学理学部(岡山)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] 第1ヒルベルト係数と随伴次数環のBuchsbaum性について2011
- Author(s)
  大関一秀
- Organizer
  日本数学会, 2011年度年会
- Place of Presentation
  早稲田大学理工学部(東京)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] 第1ヒルベルト係数によるイデアルの分類について2011
- Author(s)
  大関一秀
- Organizer
  第7回数学総合若手研究集会
- Place of Presentation
  北海道大学学術交流会館(札幌)
- Year and Date
  2011-03-02
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] The equality of Elias and Valla and Buchsbaumness of associated graded rings2011
- Author(s)
  Kazuho Ozeki
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  カリアック浜松(静岡)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] 巴系イデアルのヒルベルト係数の有限性とその計算方法について2011
- Author(s)
  大関一秀
- Organizer
  第16回代数学若手研究会
- Place of Presentation
  筑波大学筑波キャンパス(茨城)
- Year and Date
  2011-03-06
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] Ulrich modules-a generalization2011
- Author(s)
  Shiro Goto, Kazuho Ozeki, Ryo Takahashi
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  カリアック浜松(浜松)
- Year and Date
  2011-11-08
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] The structure of Sally modules and Buchsbaumness of associated graded rings2011
- Author(s)
  Kazuho Ozeki
- Organizer
  The 7^<th> Japan-Vietnam Joint Seminar on Commutative Algebra Quy Nhon
- Place of Presentation
  University(Vietnam)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] On Ulrich modules-a generalization2011
- Author(s)
  Shiro Goto, Ryo Takahashi, and Kazuho Ozeki
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  カリアック浜松(静岡)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] ヒルベルト係数と随伴次数環のBuchsbaum性について2011
- Author(s)
  大関一秀
- Organizer
  日本数学会2011年度年会
- Place of Presentation
  早稲田大学理工学部(東京)
- Year and Date
  2011-03-22
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] Hilbert coefficients of parameter ideals2011
- Author(s)
  Kazuho Ozeki
- Organizer
  The Sixth China-Japan-Korea International Conference on Ring and Module Theory
- Place of Presentation
  Kyong Hee University(韓国)
- Year and Date
  2011-07-01
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] Uniform bounds for Hilbert coefficients of parameters2010
- Author(s)
  Shiro Goto and Kazuho Ozeki
- Organizer
  The 32^<nd> Symposium and The 6^<th> Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  IPC生産性国際交流センター(神奈川)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] Uniform bounds for Hilbert coefficients of parameters2010
- Author(s)
  Shiro Goto, Kazuho Ozeki
- Organizer
  The 32^<nd> Symposium and The 6^<th> Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  ICP生産性国際交流センター(神奈川)
- Year and Date
  2010-12-12
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] 巴系イデアルのヒルベルト函数の一様な境界について2010
- Author(s)
  後藤四朗, 大関一秀
- Organizer
  2010年度日本数学会秋季分科会
- Place of Presentation
  名古屋大学東山キャンパス(名古屋)
- Year and Date
  2010-09-23
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] The first Hilbert coefficients of parameters2010
- Author(s)
  Kazuho Ozeki
- Organizer
  第43回環論及び表現論シンポジウム
- Place of Presentation
  鳴門教育大学(徳島)
- Data Source
  KAKENHI-PROJECT-22740026
[Presentation] 巴系イデアルのヒルベルト函数の一様な境界について2010
- Author(s)
  後藤四郎, 大関一秀
- Organizer
  日本数学会2010年度秋季総合分科会
- Place of Presentation
  名古屋大学東山キャンパス(名古屋)
- Data Source
  KAKENHI-PROJECT-22740026

1. GOTO Shiro (50060091)

# of Collaborated Projects: 1 results

# of Collaborated Products: 11 results
2. IAI Shinichiro (50333125)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. TAKAHASHI Ryo

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Ozeki Kazuho 大関 一秀

OZEKI Kazuho 大関 一秀

Research Projects

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Co-Researchers

可換環論におけるヒルベルト函数論の展開Principal Investigator

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Development of local ring theory actively using the theory of Hilbert functionsPrincipal Investigator

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Hilbert function of local ringsPrincipal Investigator

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Research on the Hilbert functions in local ringsPrincipal Investigator

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Commutative algebra - towards a better understanding of non-Cohen-Macaulay rings

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Research on the Hilbert functions in commutative algebraPrincipal Investigator

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[Journal Article] The first Euler characteristic and the depth of associated graded rings2024

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[Journal Article] Stretchedイデアルの節減数について2023

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[Journal Article] The reduction number of stretched ideals2022

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[Journal Article] The First Hilbert Coefficient of Stretched Ideals2022

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[Journal Article] On Hilbert coefficients and sequentially Cohen-Macaulay rings2022

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[Journal Article] A filtration of the Sally module and the first normal Hilbert coefficient2021

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[Journal Article] The structure of Sally modules and normal Hilbert coefficients2020

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[Journal Article] On the structure of the Sally module and the second normal Hilbert coefficient2020

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[Journal Article] On the structure of the Sally module and the second normal Hilbert coefficient2020

Ozeki Kazuho 大関一秀

OZEKI Kazuho 大関一秀