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Study of artinian rings including algebras

Research Project

Project/Area Number 19540029
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionOsaka Kyoiku University

Principal Investigator

BABA Yoshitomo  Osaka Kyoiku University, 教育学部, 教授 (10201724)

Co-Investigator(Kenkyū-buntansha) UNO Katsuhiro  大阪教育大学, 教育学部, 教授 (70176717)
OSHIRO Kiyoichi  山口大学, 理工学研究科, 名誉教授 (90034727)
KOIKE Kazutoshi  沖縄工業高等専門学校, 総合科学科, 教授 (20225337)
KURATOMI Yousuke  北九州工業高等専門学校, 総合科学科, 准教授 (60370045)
Co-Investigator(Renkei-kenkyūsha) SMITH Patrik F.  University of Glasgow, Faculty of Information and Mathematical Sciences, Honorary Senior Research Fellow
SADASUE Gaku  大阪教育大学, 教育学部, 准教授 (40324884)
Project Period (FY) 2007 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords環論 / R-加群論 / 森田自己双対性 / 原田環 / 中山環
Research Abstract

The research representative and Professors emeritus Kiyoich Oshiro who was a member of this project wrote a lecture note about artinian rings including algebras. And the lecture note was published in 2009. We believe the book contribute to the development of this field of study. Further the research representative succeeded in the study of Morita self-duality of artinian rings and almost N-projectives.

Report

(6 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report   Self-evaluation Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (35 results)

All 2011 2010 2009 2008 2007 Other

All Journal Article (22 results) (of which Peer Reviewed: 20 results) Presentation (7 results) Book (2 results) Remarks (4 results)

  • [Journal Article] On almost N-simple-projectives2011

    • Author(s)
      Yoshitomo Baba, Takeshi Yamazaki,
    • Journal Title

      Math.J.of Okayama Univ. 53

      Pages: 101-109

    • NAID

      120002693900

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] On almost N-simple-projectives2011

    • Author(s)
      Yoshitomo Baba, Takeshi Yamazaki
    • Journal Title

      Math.J.of Okayama Univ.

      Volume: 53 Pages: 101-109

    • NAID

      120002693900

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On generalized epi-projective modules2010

    • Author(s)
      Derya Keskin, Kuratomi Yosuke
    • Journal Title

      Math.J.Okayama Univ. 52

      Pages: 111-122

    • NAID

      120002309701

    • Related Report
      2010 Final Research Report 2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On colocal pairs2009

    • Author(s)
      Yoshitomo Baba
    • Journal Title

      Ring Theory 2007

      Pages: 173-182

    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report 2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Morita duality and recent development2009

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Ring theory 2007

      Pages: 101-115

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Isometries and extra special Sylow groups of order p^32009

    • Author(s)
      Ryo Narasaki, Katsuhiro Uno
    • Journal Title

      J.Algebra 322

      Pages: 2027-2068

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Skew-matrix rings and applications to QF-rings2009

    • Author(s)
      Yoshihisa Nagatomi, Kiyoichi Oshiro, Masahiko Uhara, Kota Yamaura
    • Journal Title

      Ring Theory 2007

      Pages: 248-271

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Morita, duality and recent development2009

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Ring Theory 2007

      Pages: 101-115

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Skew-matrix rings and applications to QF-rings2009

    • Author(s)
      Yoshihisa, Nagatomi, Kiyoichi Oshiro, Msahiko Uhara, Kota Yamaura
    • Journal Title

      Ring Theory 2007

      Pages: 248-271

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Morita duality and recent development2009

    • Author(s)
      Kazutoshi Koike
    • Journal Title

      Ring Theory 2007

      Pages: 101-115

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Self-duality of Harada ring of a component type2008

    • Author(s)
      Yoshitomo Baba
    • Journal Title

      J.Algebra and its Applications 3

      Pages: 125-134

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Generalized projectivity of quasi-discrete modules2008

    • Author(s)
      Kuratomi Yosuke
    • Journal Title

      It.Electron J.Algebra 3

      Pages: 125-134

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Commutativity of association schemes of prime square order having non-trivial thin closed subsets2008

    • Author(s)
      Akihide Hanaki, Mitsugu Hirasaka, Katsuhiro Uno
    • Journal Title

      J.Algebraic Combin 27

      Pages: 307-316

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Self-duality of Harada ring of a component type2008

    • Author(s)
      Yoshitomo Baba
    • Journal Title

      J. Algebra and its Applications 7

      Pages: 275-298

    • Related Report
      2009 Self-evaluation Report 2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized projectivity of quasi-discrete modules, Int.2008

    • Author(s)
      Kuratomi Yousuke
    • Journal Title

      Electron J. Algebra 3

      Pages: 125-134

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Generalized projectivity of quasi-discrete modules2008

    • Author(s)
      Kuratomi Yosuke
    • Journal Title

      It. Electron. J. Algebra 3

      Pages: 125-134

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized projectivity of quasi-discrete modules2008

    • Author(s)
      Kuratomi Yousuke
    • Journal Title

      Int. Electron J. Algebra 3

      Pages: 125-134

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [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

    • Related Report
      2010 Final Research Report
  • [Journal Article] Lifting modules over right perfect rings2007

    • Author(s)
      Kuratomi Yousuke, Chang Chaehoon
    • Journal Title

      Comm.In Algebra 35, No.10

      Pages: 3103-3109

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Chang Chaehoon, Lifting modules over right perfect rings, Comm.2007

    • Author(s)
      Kuratomi Yousuke
    • Journal Title

      in Algebra 35

      Pages: 3103-3109

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [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

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Lifting modules over right perfect rings2007

    • Author(s)
      Kuratomi Yousuke, Chang Chaehoon
    • Journal Title

      Comm. In Algebra 35, no10

      Pages: 3103-3109

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [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
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] On colocal pairs2007

    • Author(s)
      Yoshitomo Baba
    • Organizer
      The fifth China-Korea-Japan International Symposium on Ring Theory
    • Place of Presentation
      National Olympics Memorial Youth Center
    • Year and Date
      2007-09-12
    • Related Report
      2010 Final Research Report
  • [Presentation] Skew-matrix ring and applications to QF-ring2007

    • Author(s)
      Msahiko Uhara, Yoshihisa Nagatomi, Kiyoichi Oshiro
    • Organizer
      The fifth China-Korea-Japan International Symposium on Ring Theory
    • Place of Presentation
      National Olympics Memorial Youth Center
    • Year and Date
      2007-09-12
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] Professor Harada-person and work2007

    • Author(s)
      Kiyoichi Oshiro
    • Organizer
      The fifth China-Korea-Japan International Symposium on Ring Theory
    • Place of Presentation
      National Olympics Memorial Youth Center
    • Year and Date
      2007-09-12
    • Related Report
      2010 Final Research Report
  • [Presentation] On colocal pairs2007

    • Author(s)
      Yoshitomo Baba
    • Organizer
      The fifth China-Korea-Japan Internation al Symposium on Ring Theory
    • Place of Presentation
      National Olympics Memorial Youth Center
    • Year and Date
      2007-09-12
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Professor Haradaperson and work2007

    • Author(s)
      Kiyoichi Oshiro
    • Organizer
      The fifth China-Korea-Japan International Symposium on RingTheory
    • Place of Presentation
      National Olympics Memorial Youth Center
    • Year and Date
      2007-09-12
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] On Colocal Pairs2007

    • Author(s)
      Yoshitomo Baba
    • Organizer
      The fifth China-Korea-Japan International Symposium on Ring Theory
    • Place of Presentation
      Nationa1 Olympics Memorial Youth Center
    • Year and Date
      2007-09-12
    • Related Report
      2007 Annual Research Report
  • [Book] Classical artinian rings and related topics2009

    • Author(s)
      Yoshitomo Baba, Kiyoichi Oshiro
    • Total Pages
      312
    • Publisher
      World Scientific
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Book] Classical artinian rings and relatied topics2009

    • Author(s)
      Yoshitomo Baba, Kiyoichi Oshiro
    • Total Pages
      312
    • Publisher
      World Scientific
    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://kenkyu-web.bur.osaka-kyoiku.ac.jp/Profiles/0003/0000270/booksl.html

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://kenkyu-web.bur.osaka-kyoiku.ac.jp/Profiles/0003/0000270/books1.html

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://kenkyu-web.bur.osaka-kyoiku.ac.jp/Profiles/0003/0000270/booksl.Html

    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://kenkyu-web.bur.osaka-kyoiku.ac.jp/Profiles/0003/0000270/books1.html

    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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