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Koike Kazutoshi  小池 寿俊

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KOIKE Kazutoshi  小池 寿俊

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Researcher Number 20225337
Other IDs
Affiliation (Current) 2025: 沖縄工業高等専門学校, 総合科学科, 教授
Affiliation (based on the past Project Information) *help 2007 – 2023: 沖縄工業高等専門学校, 総合科学科, 教授
2017: 沖縄工業高等専門学校, その他部局等, 教授
2011 – 2015: 沖縄工業高等専門学校, その他部局等, 教授
2008: 沖縄工業高等専門学校, 一般科, 教授
2003 – 2004: 沖縄工業高等専門学校, 総合科学科, 教授
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra
Keywords
Principal Investigator
self-duality / Morita duality / 拡大環 / 東屋の予想 / finite centralizing extension / rip extension / Azumaya's conjecture / locally distributive ring / quasi-Harada ring / 擬原田環 … More / 環の圏 / 有限中心的拡大 / 局所分配環 / 準原田環 / 多国籍 / 国際情報交流 / 森田双対 / 環論 / 有限三角拡大 / 自己双対性 / 森田双対性 … More
Except Principal Investigator
環論 / アルチン環 / 原田環 / QF-環 / Faith 予想 / 中山環 / R-加群論 / Faith conjecture / QF環 / 代数学 / direct projective module / dual square free / quasi-discrete module / (semi)perfect ring / dual square free module / perfect ring / H-supplemented module / exchange property / lifting module / 双対自己同型不変加群 / 準離散加群 / dual square free加群 / H-supplemented加群 / 内部のexchange性 / 半完全環 / exchange性 / 直既約分解 / 直和分解 / lifting加群 / Octonion 環 / 加群論 / Octonion 環 / Quaternion 環 / 両側ベクトル空間 / Octonion / Quaternion / QF-ring / Quaternion / Octonion ring / Quaternion ring / Complex ring / skew-field / Faith 予想 / Frobenius 拡大 / Hamilton4元数環 / 準フロベニウ環 / 4元数環 / generalized injective / generalized projective / almost injective / almost projective / 準原田環 / 両側原田環 / 森田自己双対性 / Morita duality / Quasi-Frobenius ring / Moritaduality / Harada ring / skew-matrix ring / Nakayama ring / Quasi Frobenius ringa / 環論・表現論 / serial group algebra / Harada rings / skew matrix rings / Nakayama rings / Quasi-Frobenius rings / Faith予想 / Nakayama環 / Quasi-Frobenius 環 Less
  • Research Projects

    (9 results)
  • Research Products

    (42 results)
  • Co-Researchers

    (22 People)
  •  Study of artinian rings

    • Principal Investigator
      Baba Yoshitomo
    • Project Period (FY)
      2017 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Kyoiku University
  •  Research on direct sum decompositions of lifting modules and its application

    • Principal Investigator
      Kuratomi Yosuke
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamaguchi University
  •  Study on quasi-Frobenius rings based on the Faith conjecture

    • Principal Investigator
      Oshiro Kiyoichi
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamaguchi University
  •  Study of artinian rings

    • Principal Investigator
      BABA YOSHITOMO
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Kyoiku University
  •  Faith conjecture and related studies

    • Principal Investigator
      OSHIRO kiyoichi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamaguchi University
  •  Study of artinian rings with Morita dualityPrincipal Investigator

    • Principal Investigator
      KOIKE Kazutoshi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Okinawa National College of Technology
  •  Study of artinian rings including algebras

    • Principal Investigator
      BABA Yoshitomo
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Kyoiku University
  •  Synthetical study of ring and representation Theory based on Quasi-Frobenius rings

    • Principal Investigator
      OSHIRO Kiyoichi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Yamaguchi University
  •  Research on ring theory relative to self-injective ringsPrincipal Investigator

    • Principal Investigator
      KOIKE Kazutoshi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Okinawa national college of technology

All 2018 2017 2016 2015 2014 2013 2012 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] Proceedings of the 45th Symposium on Ring Theory and Representation Theory2013

    • Author(s)
      K. Koike
    • Publisher
      環論および表現論シンポジウム実行委員会
    • Data Source
      KAKENHI-PROJECT-23540064
  • [Book] Proceeding of 45th symmposium on ring theory and representation theory Organizing Committee (編集)2013

    • Author(s)
      Kazutoshi Koike
    • Total Pages
      178
    • Publisher
      沖縄工業高等専門学校
    • Data Source
      KAKENHI-PROJECT-23540051
  • [Journal Article] Complex rings, Quaternion rings and Octonion rings2018

    • Author(s)
      I.Kikumasa, K.Koike, K.Oshiro
    • Journal Title

      Proceedeings of the 50th Symposium on Ring Theory and Representation Theory

      Volume: 50 Pages: 74-53

    • Data Source
      KAKENHI-PROJECT-17K05202
  • [Journal Article] Recent Development of the Faith Conjecture2016

    • Author(s)
      小池寿俊・大城紀代市
    • Journal Title

      Proceedings of the 7th China-Japan-Korea International Symposium on Ring Theory

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400047
  • [Journal Article] Recent Development of the Faith Conjecture2016

    • Author(s)
      Kazutosi Koike and Kiyoichi Oshiro
    • Journal Title

      Proceedings of the 7th China-Japan-Korea International Symposium on Ring Theory, HangZhou Univ.

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04821
  • [Journal Article] Quaternion Rings and Octonion Rings2016

    • Author(s)
      Kazutosi Koike and Kiyoichi Oshiro
    • Journal Title

      Proceedings of the 7th China-Japan-Korea International Symposium on Ring Theory, HangZhou Univ.

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04821
  • [Journal Article] Recent development of the Faith conjecture2016

    • Author(s)
      小池寿俊・大城紀代市
    • Journal Title

      Fronties Mathematics in China

      Volume: Vol 11 Pages: 933-947

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400047
  • [Journal Article] Recent development of Faith conjecture2016

    • Author(s)
      Kazutoshi Koike and Kiyoichi Oshiro
    • Journal Title

      Frontiers of Mathematics in China

      Volume: 11 Issue: 4 Pages: 933-947

    • DOI

      10.1007/s11464-016-0549-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04821
  • [Journal Article] A characterization of the class of Harada rings2015

    • Author(s)
      小池寿俊
    • Journal Title

      Proceeding of the 47th Symmposium on Ring Theory and Represenntation Theory

      Volume: 47巻 Pages: 93-99

    • Data Source
      KAKENHI-PROJECT-26400047
  • [Journal Article] Global dimension of Harada rings and serial rings2015

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Journal of Algebra and its applications

      Volume: 14 Issue: 07 Pages: 1550115-1550115

    • DOI

      10.1142/s0219498815501157

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540047
  • [Journal Article] A characterization of the class of Harada rings2015

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Proceedings of the 47th Symposium on Ring Theory and Representation THeory

      Volume: 47 Pages: 93-99

    • Data Source
      KAKENHI-PROJECT-23540047
  • [Journal Article] Global dimension of Harada rings and serial rings2014

    • Author(s)
      小池寿俊
    • Journal Title

      Journal of Algebra and Its applications

      Volume: 1巻 Pages: 1-13

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400047
  • [Journal Article] Morita duality and ring extensions2013

    • Author(s)
      Koike Kazutoshi
    • Journal Title

      J. algebra Appl.

      Volume: 12 Issue: 02 Pages: 101-115

    • DOI

      10.1142/s0219498812501605

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540047, KAKENHI-PROJECT-23540064
  • [Journal Article]2013

    • Author(s)
      小池寿俊
    • Journal Title

      Proceedings of the 45th symposium on Ring Theory and Representation Theory

      Pages: 178-178

    • Data Source
      KAKENHI-PROJECT-23540051
  • [Journal Article] Morita duality and ring extensions2013

    • Author(s)
      Koike Kazutoshi
    • Journal Title

      J. Algebra Appl.

      Volume: 12

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540047
  • [Journal Article] Classical Artinian Rings and related Topics2012

    • Author(s)
      小池寿俊(書評) Y. Baba and K. Oshiro
    • Journal Title

      数学(日本数学会)

      Volume: 第64巻 Pages: 432-436

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540051
  • [Journal Article] Classical Artinian Rings and Related Topics2012

    • Author(s)
      小池寿俊, (書評) Y. Baba and K. Oshiro
    • Journal Title

      数学(日本数学会)

      Volume: 第64巻 Pages: 432-436

    • Data Source
      KAKENHI-PROJECT-23540064
  • [Journal Article] Morita duality and ring extensions2012

    • Author(s)
      小池寿俊
    • Journal Title

      J. Algebra and its Appl

      Volume: 12, No 2 Pages: 1250160-23

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540051
  • [Journal Article] Morita duality and recent development2009

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Ring Theory 2007

      Pages: 101-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540029
  • [Journal Article] Morita Duality and Recent Revedopment2009

    • Author(s)
      小池 寿俊
    • Journal Title

      Proceeding of the fifth China-Japan-Korea Cponference, Ring Theory, 2007

      Pages: 101-115

    • Data Source
      KAKENHI-PROJECT-18340011
  • [Journal Article] Morita duality and recent development2009

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Ring theory 2007

      Pages: 101-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540029
  • [Journal Article] Morita, duality and recent development2009

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Ring Theory 2007

      Pages: 101-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540029
  • [Journal Article] Morita Duality and Recent Development2008

    • Author(s)
      小池寿俊
    • Journal Title

      Proceedings of the Fifth China-Japan-Korea Conference on Ring Theory 2007

      Pages: 101-115

    • Data Source
      KAKENHI-PROJECT-18340011
  • [Journal Article] Azumaya's conjecture and Harada rings2007

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Porceedings of the 39th Symposium on Ring theory and Representation Theory 39

      Pages: 90-95

    • Data Source
      KAKENHI-PROJECT-19540029
  • [Journal Article] Azumaya's conjecture and Harada rings2007

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Proceedings of the 39th Symposium on Ring theory and Representation Theory 39

      Pages: 90-95

    • Data Source
      KAKENHI-PROJECT-19540029
  • [Journal Article] Azumaya Conjecture and Harada rings2006

    • Author(s)
      小池寿俊
    • Journal Title

      Proceedings of the 9^<th> Symposium on Ring Theory and Representation Theory

      Pages: 90-95

    • Data Source
      KAKENHI-PROJECT-18340011
  • [Journal Article]2006

    • Author(s)
      小池 寿俊
    • Journal Title

      Journal of Algebra 302

      Pages: 613-645

    • Data Source
      KAKENHI-PROJECT-18340011
  • [Journal Article] Morita duality and ring extensions2005

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Proceedings of the 37th Symposium on Ring Theory and Representation Theory

      Pages: 43-47

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540053
  • [Journal Article] Morita duality and ring extensions2005

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Proceedings of the 37^<th> Symposium on Ring Theory and Representation Theory

      Pages: 43-47

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540053
  • [Journal Article] Self-duality of quasi-Harada rings and locally distributive rings2004

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Proceedings of the 38th Symposium on Ring Theory and Representation Theory

      Pages: 110-115

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540053
  • [Journal Article] Self-duality of quasi-Harada rings and locally distributive rings2004

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Proceedings of the 36^<th> Symposium on Ring Theory and Representation Theory

      Pages: 110-115

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540053
  • [Presentation] Complex rings, Quaternion rings and Octonion rings2017

    • Author(s)
      菊政勲, 小池寿俊, 大城紀代市
    • Organizer
      環と表現論シンポジゥム
    • Data Source
      KAKENHI-PROJECT-17K05202
  • [Presentation] 有限三角拡大の自己双対性2014

    • Author(s)
      小池寿俊
    • Organizer
      日本数学会周期総合分科会
    • Place of Presentation
      広島大学、西条市
    • Year and Date
      2014-09-27
    • Data Source
      KAKENHI-PROJECT-26400047
  • [Presentation] A characterization of the class of Harada ring2014

    • Author(s)
      小池寿俊
    • Organizer
      第47回環論および表現論シンポジゥム
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2014-09-15
    • Data Source
      KAKENHI-PROJECT-23540047
  • [Presentation] 有限三角拡大の自己双対性2014

    • Author(s)
      小池寿俊
    • Organizer
      日本数学会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-27
    • Data Source
      KAKENHI-PROJECT-23540047
  • [Presentation] A characterization of Harada rings and serial rings2014

    • Author(s)
      小池寿俊
    • Organizer
      第47回環論および表現論シンポジウム
    • Place of Presentation
      大阪市立大学、大阪市
    • Year and Date
      2014-09-15
    • Data Source
      KAKENHI-PROJECT-26400047
  • [Presentation] 森田双対性と有限環拡大2012

    • Author(s)
      小池寿俊
    • Organizer
      日本数学会秋季総合分科会代数分科会
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-23540064
  • [Presentation] 森田双対性と有限環拡大2012

    • Author(s)
      小池寿俊
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-23540064
  • [Presentation] Morita Duality and Recent Development Recent Development2007

    • Author(s)
      小池寿俊
    • Organizer
      第5回China-Japan-Korea Ring Theory 国際研究集会
    • Place of Presentation
      第5回China-Japan-Korea Ring Theory 国際研究集会
    • Year and Date
      2007-09-14
    • Data Source
      KAKENHI-PROJECT-18340011
  • [Presentation] Morita duality and recent development2007

    • Author(s)
      Kazutoshi Koike
    • Organizer
      The fifth China-Korea-Japan International Symposium on Ring Theory
    • Place of Presentation
      National Olympics Memorial Youth Center
    • Year and Date
      2007-09-14
    • Data Source
      KAKENHI-PROJECT-19540029
  • [Presentation] Azumaya Conjecture and Harada rings2006

    • Author(s)
      小池寿俊
    • Organizer
      第39回環論および表現論研究集会
    • Place of Presentation
      広島大学
    • Year and Date
      2006-09-17
    • Data Source
      KAKENHI-PROJECT-18340011
  • [Presentation] 森田双対性と有限環拡大

    • Author(s)
      Koike Kazutoshi
    • Organizer
      日本数学会
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-23540047
  • 1.  BABA Yositomo (10201724)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 1 results
  • 2.  OSHIRO Kiyoichi (90034727)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 7 results
  • 3.  KIKUMASA Isao (70234200)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  KURATOMI Yousuke (60370045)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  KUTAMI Mamoru (80034734)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  KAWATA Shigeto (50195103)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  YOSHIMURA Hiroshi (00182824)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  IIYORI Nobuo (00241779)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  KOSHITANI Shigeo (30125926)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  NISHIDA Kenji (70125392)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  HANAKI Akihide (50262647)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  YAMAGTA Kunio (60015849)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  SATOU Masahisa (30143952)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  ASASHIBA Hideto (70175165)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  MARUBAYASI Hidetoshi (00034702)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  UNO Katsuhiro (70176717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  SADASUE Gaku (40324884)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  TAKEHANA YASUHIKO (70236496)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  FURUYA TAKAHIKO (90459727)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  YAMAURA Kota (60633245)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  SMITH Patrik F.
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  Tutuncu Derya Keskin
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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