Koike Kazutoshi 小池寿俊

… Alternative Names

KOIKE Kazutoshi 小池寿俊

Less

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

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] ＲｅｃｅｎｔｄｅｖｅｌｏｐｍｅｎｔｏｆｔｈｅＦａｉｔｈｃｏｎｊｅｃｔｕｒｅ2016
- Author(s)
  小池寿俊・大城紀代市
- Journal Title
  
  ＦｒｏｎｔｉｅｓＭａｔｈeｍａｔｉｃｓｉｎＣｈｉｎａ
  
  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

Koike Kazutoshi 小池 寿俊

KOIKE Kazutoshi 小池 寿俊

Research Projects

Research Products

Co-Researchers

Study of artinian rings

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on direct sum decompositions of lifting modules and its application

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on quasi-Frobenius rings based on the Faith conjecture

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of artinian rings

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Faith conjecture and related studies

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of artinian rings with Morita dualityPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of artinian rings including algebras

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Synthetical study of ring and representation Theory based on Quasi-Frobenius rings

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on ring theory relative to self-injective ringsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Publisher

Data Source

[Book] Proceeding of 45th symmposium on ring theory and representation theory Organizing Committee (編集）2013

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] Complex rings, Quaternion rings and Octonion rings2018

Author(s)

Journal Title

Data Source

[Journal Article] Recent Development of the Faith Conjecture2016

Author(s)

Journal Title

Data Source

[Journal Article] Recent Development of the Faith Conjecture2016

Author(s)

Journal Title

Data Source

Koike Kazutoshi 小池寿俊

KOIKE Kazutoshi 小池寿俊

[Journal Article] ＲｅｃｅｎｔｄｅｖｅｌｏｐｍｅｎｔｏｆｔｈｅＦａｉｔｈｃｏｎｊｅｃｔｕｒｅ2016

[Journal Article] A characterization of　the class of Harada rings2015

[Journal Article] Global dimension of Harada rings and serial　rings2014