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ENDO Naoki  遠藤 直樹

… Alternative Names

Endo Naoki  遠藤 直樹

谷口 直樹  タニグチ ナオキ

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Researcher Number 30782510
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-9343-7161
Affiliation (Current) 2025: 明治大学, 政治経済学部, 専任講師
Affiliation (based on the past Project Information) *help 2022 – 2023: 明治大学, 政治経済学部, 専任講師
2021: 東京理科大学, 理学部第二部数学科, 講師
2020: 明治大学, 研究・知財戦略機構(生田), 研究推進員(客員研究員)
2018 – 2019: 早稲田大学, グローバルエデュケーションセンター, 講師(任期付)
2017: 早稲田大学, グローバルエデュケーションセンター, 助教
2016 – 2017: 明治大学, 理工学部, 助教
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related / Algebra
Except Principal Investigator
Algebra
Keywords
Principal Investigator
Weakly Arf環 / Arf環 / Cohen-Macaulay環 / Ulrichイデアル / Almost Gorenstein環 / Gorenstein環 / Srtictly closed環 / Zariski予想 / weakly Arf環 / strictly closed環 … More / 拡大正準イデアル / Sally加群 / 正準イデアル / Goto環 / 代数学 / 可換環論 / Gorenstien環 / Fiber積 / 行列式環 / Rees代数 … More
Except Principal Investigator
随伴次数環 / 正規ヒルベルト係数 / リース代数 / 行列式環 / 数値半群環 / 極小自由分解 / 正準イデアル / サリー加群 / コーエン・マコーレー環 / ゴレンシュタイン環 / アーフ環 / 概ゴレンシュタイン環 / 可換環論 / Arf環 / Rees代数 / 系列的Cohen-Macaulay環 / Gorenstein環 / Almost Gorenstein環 Less
  • Research Projects

    (4 results)
  • Research Products

    (56 results)
  • Co-Researchers

    (3 People)
  •  Towards the theory of Arf rings of higher dimensionPrincipal Investigator

    • Principal Investigator
      遠藤 直樹
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Meiji University
  •  Stratification of Cohen-Macaulay ringsPrincipal Investigator

    • Principal Investigator
      Endo Naoki
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Meiji University
      Tokyo University of Science
  •  Development of the theory of almost Gorenstein ringsPrincipal Investigator

    • Principal Investigator
      Endo Naoki
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Developement of the theory of non-Gorenstein rings and a study of j-multiplicity

    • Principal Investigator
      Tran Thi Phuong
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Meiji University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation Book

  • [Book] 数学基礎プラスβ(最適化編)2019 -利益の最大化は損失を最小にするか?-2019

    • Author(s)
      齋藤正顕,高木悟,谷口直樹
    • Total Pages
      228
    • Publisher
      早稲田大学出版会
    • ISBN
      4657190067
    • Data Source
      KAKENHI-PROJECT-17K14176
  • [Book] 数学基礎プラスβ(最適化編)20182018

    • Author(s)
      齋藤正顕,高木悟,谷口直樹
    • Total Pages
      238
    • Publisher
      加藤文明社
    • ISBN
      9784657180087
    • Data Source
      KAKENHI-PROJECT-17K14176
  • [Journal Article] Rings with q-torsionfree canonical modules2024

    • Author(s)
      Naoki Endo, Laura Ghezzi, Shiro Goto, Jooyoun Hong, Shin-ichiro Iai, Toshinori Kobayashi, Naoyuki Matsuoka, and Ryo Takahashi
    • Journal Title

      The Mathematical Legacy of Wolmer V. Vasconcelos, De Gruyter Proceedings in Mathematics

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Journal Article] Rings with q-torsionfree canonical modules2024

    • Author(s)
      Naoki Endo, Laura Ghezzi, Shiro Goto, Jooyoun Hong, Shin-ichiro Iai, Toshinori Kobayashi, Naoyuki Matsuoka, and Ryo Takahashi
    • Journal Title

      The Mathematical Legacy of Wolmer V. Vasconcelos, De Gruyter Proceedings in Mathematics

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03058
  • [Journal Article] Ulrich ideals in the ring k[[t^5,t^11]]2024

    • Author(s)
      Naoki Endo, Shiro Goto, Shin-ichiro Iai, and Naoyuki Matsuoka
    • Journal Title

      International Journal of Algebra and Computation

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Journal Article] Reflexive modules over the endomorphism algebras of reflexive trace ideals2024

    • Author(s)
      Endo Naoki and Goto Shiro
    • Journal Title

      Journal of Pure and Applied Algebra

      Volume: 印刷中 Issue: 8 Pages: 107662-107662

    • DOI

      10.1016/j.jpaa.2024.107662

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K03058, KAKENHI-PROJECT-20K14299
  • [Journal Article] Remarks on almost Gorenstein rings2024

    • Author(s)
      Endo Naoki and Matsuoka Naoyuki
    • Journal Title

      Communications in Algebra

      Volume: 52 Issue: 7 Pages: 2884-2891

    • DOI

      10.1080/00927872.2024.2310163

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23K03058, KAKENHI-PROJECT-20K14299
  • [Journal Article] Ulrich ideals in the ring k[[t^5, t^11]]2024

    • Author(s)
      Naoki Endo, Shiro Goto, Shin-ichiro Iai, and Naoyuki Matsuoka
    • Journal Title

      International Journal of Algebra and Computation

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K03058
  • [Journal Article] On the weakly Arf (S_2)-ifications of Noetherian rings2023

    • Author(s)
      Naoki Endo, Shiro Goto, Shin-ichiro Iai, and Naoyuki Matsuoka
    • Journal Title

      Journal of Commutative Algebra

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Journal Article] On the ubiquity of Arf rings2023

    • Author(s)
      Celikbas Ela, Celikbas Olgur, Ciuperca Catalin, Endo Naoki, Goto Shiro, Isobe Ryotaro, and Matsuoka Naoyuki
    • Journal Title

      Journal of Commutative Algebra

      Volume: 15 Issue: 2 Pages: 177-231

    • DOI

      10.1216/jca.2023.15.177

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03058, KAKENHI-PROJECT-20K14299
  • [Journal Article] On the Weakly Arf (S2)-ifications of Noetherian rings2023

    • Author(s)
      Endo Naoki, Goto Shiro, Iai Shin-ichiro, and Matsuoka Naoyuki
    • Journal Title

      Journal of Commutative Algebra

      Volume: 15 Issue: 3 Pages: 303-319

    • DOI

      10.1216/jca.2023.15.303

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K03058, KAKENHI-PROJECT-20K14299
  • [Journal Article] When are the rings I:I Gorenstein?2023

    • Author(s)
      Naoki Endo, Shiro Goto, Shin-ichiro Iai, and Naoyuki Matsuoka
    • Journal Title

      Communications in Algebra

      Volume: 51 Issue: 4 Pages: 1721-1734

    • DOI

      10.1080/00927872.2022.2141764

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14299, KAKENHI-PROJECT-18K03227
  • [Journal Article] Ulrich ideals in numerical semigroup rings of small multiplicity2022

    • Author(s)
      Endo Naoki and Goto Shiro
    • Journal Title

      Journal of Algebra

      Volume: 611 Pages: 435-479

    • DOI

      10.1016/j.jalgebra.2022.08.016

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Journal Article] Almost Gorenstein determinantal rings of symmetric matrices2022

    • Author(s)
      Ela Celikbas, Naoki Endo, Jai Laxmi, and Jerzy Weyman
    • Journal Title

      Communications in Algebra

      Volume: 50 Issue: 12 Pages: 5449-5458

    • DOI

      10.1080/00927872.2022.2086260

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Journal Article] Almost Gorenstein rings arising from fiber products2021

    • Author(s)
      Endo Naoki、Goto Shiro、Isobe Ryotaro
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: 64 Issue: 2 Pages: 383-400

    • DOI

      10.4153/s000843952000051x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20J10517, KAKENHI-PROJECT-21K03211, KAKENHI-PROJECT-20K14299
  • [Journal Article] Almost Gorenstein rings arising from fiber products2021

    • Author(s)
      Naoki Endo, Shiro Goto, and Ryotaro Isobe
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Journal Article] Construction of strictly closed rings2021

    • Author(s)
      E. Naoki, S. Goto
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 150 Issue: 01 Pages: 119-129

    • DOI

      10.1090/proc/15659

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03211, KAKENHI-PROJECT-20K14299
  • [Journal Article] Topics on strict closure of rings2021

    • Author(s)
      Endo Naoki、Goto Shiro、Isobe Ryotaro
    • Journal Title

      Research in the Mathematical Sciences

      Volume: 8 Issue: 4

    • DOI

      10.1007/s40687-021-00292-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20J10517, KAKENHI-PROJECT-21K03211, KAKENHI-PROJECT-21K13767, KAKENHI-PROJECT-20K14299
  • [Journal Article] Construction of strictly closed rings2021

    • Author(s)
      Naoki Endo, Shiro Goto
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Journal Article] On Ratliff-Rush closure of modules2020

    • Author(s)
      Naoki Endo
    • Journal Title

      Mathematica Scandinavica

      Volume: 126 Issue: 2 Pages: 170-188

    • DOI

      10.7146/math.scand.a-119672

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Journal Article] Efficient generation of ideals in core subalgebras of the polynomial ring $k[t]$ over a field $k$2020

    • Author(s)
      Endo Naoki、Goto Shiro、Matsuoka Naoyuki、Yamamoto Yuki
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 148 Issue: 8 Pages: 3283-3292

    • DOI

      10.1090/proc/15032

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03227, KAKENHI-PROJECT-20K14299, KAKENHI-PROJECT-16K05112
  • [Journal Article] Efficient generation of ideals in core subalgebras of the polynomial ring k[t] over a field k2020

    • Author(s)
      Naoki Endo, Shiro Goto, Naoyuki Matsuoka, and Yuki Yamamoto
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14176
  • [Journal Article] On Ratliff-Rush closure of modules2020

    • Author(s)
      Naoki Endo
    • Journal Title

      Mathematica Scandinavica

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14176
  • [Presentation] Sally modules of extended canonical ideals and Goto rings2024

    • Author(s)
      遠藤 直樹
    • Organizer
      日本数学会2024年度年会
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Sally modules of extended canonical ideals and Goto rings2024

    • Author(s)
      遠藤 直樹
    • Organizer
      日本数学会2024年度年会
    • Data Source
      KAKENHI-PROJECT-23K03058
  • [Presentation] On the stratification of one-dimensional Cohen-Macaulay rings2023

    • Author(s)
      遠藤 直樹
    • Organizer
      日本数学会2023年度年会
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Graded ideals whose quotient rings are Gorenstein2023

    • Author(s)
      遠藤 直樹
    • Organizer
      日本数学会2023年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-23K03058
  • [Presentation] Ideals whose quotient rings are Gorenstein2023

    • Author(s)
      遠藤 直樹
    • Organizer
      第34回可換環論セミナー
    • Data Source
      KAKENHI-PROJECT-23K03058
  • [Presentation] Generalization of Gorenstein rings -from the past to the future-2023

    • Author(s)
      Naoki Endo
    • Organizer
      The 11th Japan-Vietnam Joint seminar on Commutative Algebra, by and for young mathematicians
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Graded ideals whose quotient rings are Gorenstein2023

    • Author(s)
      遠藤 直樹
    • Organizer
      日本数学会2023年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Ideals whose quotient rings are Gorenstein2023

    • Author(s)
      遠藤 直樹
    • Organizer
      第34回可換環論セミナー
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] When are the endomorphism rings of ideals Gorenstein?2022

    • Author(s)
      Naoki Endo
    • Organizer
      Commutative Algebra and Algebraic Geometry Seminar at the City University of New York
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Reflexive modules over the endomorphism algebras of reflexive trace ideals2022

    • Author(s)
      Naoki Endo and Shiro Goto
    • Organizer
      The 43rd Japan Symposium on Commutative Algebra
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] The Gorensteinness of the endomorphism rings of ideals2022

    • Author(s)
      遠藤 直樹
    • Organizer
      特異点論月曜セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Ulrich ideals and numerical semigroup rings2022

    • Author(s)
      Naoki Endo
    • Organizer
      INdAM workshop: International meeting on numerical semigroups - Roma 2022
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] The category of reflexive modules over one-dimensional Cohen-Macaulay rings2022

    • Author(s)
      遠藤 直樹
    • Organizer
      東京可換環論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Almost Gorenstein Determinantal Rings of Symmetric Matrices2022

    • Author(s)
      Ela Celikbas, Naoki Endo, Jai Laxmi, and Jerzy Weyman
    • Organizer
      AMS Fall Southeastern Sectional Meeting, Special Session on Combinatorial Commutative Algebra
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Ulrich ideals in numerical semigroup rings2022

    • Author(s)
      遠藤 直樹
    • Organizer
      第33回可換環論セミナー
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Reflexive modules over the endomorphism algebras of reflexive trace ideals2022

    • Author(s)
      遠藤 直樹, 後藤 四郎
    • Organizer
      日本数学会2022年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Strict closure of rings2021

    • Author(s)
      遠藤 直樹
    • Organizer
      東京可換環論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Cohen-Macaulay環の階層化問題2021

    • Author(s)
      遠藤 直樹
    • Organizer
      神楽坂代数セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Ulrich ideals with smallest number of generators2021

    • Author(s)
      Naoki Endo
    • Organizer
      The 42nd Symposium on Commutative Algebra
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Weakly Arf rings2020

    • Author(s)
      Naoki Endo
    • Organizer
      AMS Fall Eastern Virtual Sectional Meeting, Special Session on Homological Methods in Algebra
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Arf closure versus strict closure2020

    • Author(s)
      遠藤直樹
    • Organizer
      可換環論オンラインワークショップ
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] On weakly Arf rings2020

    • Author(s)
      Naoki Endo
    • Organizer
      AMS Spring Central Sectional Meeting, Special Session on Commutative Algebra and Connections with Algebraic Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14299
  • [Presentation] Almost Gorenstein Rees algebras2019

    • Author(s)
      Naoki Endo
    • Organizer
      Special Day: Commutative Algebra seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14176
  • [Presentation] Introduction to the theory of almost Gorenstein rings2019

    • Author(s)
      Naoki Endo
    • Organizer
      Sirince Commutative Algebra Workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14176
  • [Presentation] On weakly Arf rings2019

    • Author(s)
      Naoki Endo
    • Organizer
      The 41st Japan Symposium on Commutative Algebra
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14176
  • [Presentation] Almost Gorenstein rings arising from fiber products2019

    • Author(s)
      Naoki Endo
    • Organizer
      第 32 回可換環論セミナー
    • Data Source
      KAKENHI-PROJECT-17K14176
  • [Presentation] Almost Gorenstein Rees algebras2019

    • Author(s)
      Naoki Endo
    • Organizer
      The 8th China-Japan-Korea International Symposium on Ring Theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14176
  • [Presentation] On the almost Gorenstein property of determinantal rings2017

    • Author(s)
      谷口直樹
    • Organizer
      日本数学会2017年度年会
    • Place of Presentation
      首都大学東京
    • Year and Date
      2017-03-24
    • Data Source
      KAKENHI-PROJECT-26400054
  • [Presentation] On the almost Gorenstein property of determinantal rings2017

    • Author(s)
      谷口直樹
    • Organizer
      第29回可換環論セミナー
    • Place of Presentation
      山口大学
    • Year and Date
      2017-02-01
    • Data Source
      KAKENHI-PROJECT-26400054
  • [Presentation] The almost Gorenstein Rees algebras of contracted ideals2016

    • Author(s)
      後藤四郎・松岡直之・谷口直樹・吉田健一
    • Organizer
      2016年度日本数学会年会
    • Place of Presentation
      筑波大学
    • Year and Date
      2016-03-16
    • Data Source
      KAKENHI-PROJECT-26400054
  • [Presentation] Almost Gorenstein rings2016

    • Author(s)
      谷口直樹
    • Organizer
      第61回代数学シンポジウム
    • Place of Presentation
      佐賀大学
    • Year and Date
      2016-09-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400054
  • [Presentation] The almost Gorenstein Rees algebras of socle ideals2015

    • Author(s)
      後藤四郎・松岡直之・谷口直樹・吉田健一
    • Organizer
      2015年度日本数学会秋季年会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Data Source
      KAKENHI-PROJECT-26400054
  • [Presentation] 2次元正規特異点のpg-idealのRees代数のAlmost Gorenstein性2015

    • Author(s)
      後藤四郎・松岡直之・谷口直樹・吉田健一
    • Organizer
      2015年度日本数学会秋季年会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Data Source
      KAKENHI-PROJECT-26400054
  • 1.  Tran Thi Phuong (00649824)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  GOTO Shiro (50060091)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 5 results
  • 3.  松岡 直之 (80440155)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 4 results

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