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NISHIDA Kenji  西田 憲司

ORCIDConnect your ORCID iD *help
… Alternative Names

西田 憲司  ニシダ ケンジ

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Researcher Number 70125392
Other IDs
External Links
Affiliation (based on the past Project Information) *help 1998 – 2013: 信州大学, 理学部, 教授
2011: 信州大学, 大学院・共生科学技術研究院, 教授
1994 – 1996: 長崎大学, 教養部, 教授
1991 – 1992: 長崎大学, 教養部, 教授
1988: 長崎大学, 教養部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / 代数学・幾何学 / Algebra / Global analysis
Keywords
Principal Investigator
ネータ多元環 / Gorenstein ring / Gorenstein dimension / アルティン多元環 / 整環 / ゴレンシュテイン次元 / ネータ環 / フィルター環 / totally reflexive module / holonomic module … More / Auslander condition / grade / graded ring / filtered ring / コ-エン-マコーレー加群 / 入射次元 / 半双対化加群 / 双対化加群 / 全反射加群 / ホロノミック加群 / アウスランダー条件 / グレイド / 次数環 / ゴレンステイン環 / ゴレンステイン次元 / tiled order / Aritinian ring / Broue conjecture / Hecke algebra / Cohen-Macaulay module / linkage / フロベニウス多元環 / 群多元環 / ベーア環 / アルテイン多元環 / フロべニウス多元環 / クイバー / ヘッケ環 / ガロア被覆 / タイル整環 / アルチン環 / ブルエ予想 / Hecke環 / コーエンマコーレー加群 / リンケージ / ゴレンシュテイン環 / order / dualizing module / Gorenstein Algebra / Noetherian algebra / 完全加群 / 有限入射次元 / バス予想 / 双対加群 / ゴレンシュテイン多元環 / 局所双対 / 局所コホモロジー / 岩澤代数 / 擬コンパクト多元環 / ネータ整環 / 変異 / 単純加群に付随する傾加群 / 余シジジー / ゴレステイン次元 / ゴレンステイン多元環 / シジジー・余シジジー / ゴレンステイン射影的 / G-射影加群 / ホモロジー代数学 / アウスランダーゴレンステイン / アウスランダー正則 / マトリス双対 / フィルター加群 … More
Except Principal Investigator
Minkowski space / Zeta-regularization / Spectre triple / motion of curves / Cohen-Macauley / Dirac operator / Bass orders / discrepancy / 有限次元多元環 / 類数 / 代数関数体 / AKNS inverse / Soboler space / Integrable system / Zeta regularization / Spectre invariant / Clifford bundle / Infinite dimensional algebra / Mapping space / AKNS inverse scattering schemes / Sobolev space / MinKowski space / AKNS inrerse scathering schemas / Sobalev space / Zeta-regwlarization / Spectte triple / Zariski's problem / Frobenius algebras / Rees algebras / singularities / Cohen-Macaulay modules / local rings / 有限次元多元環の表現論 / 有理特異点 / 表現型 / 整環 / Gorenstein環 / Cohen-Macaulay環 / Zariskiの問題 / Ress代数 / Cohen-Macaulay加群 / Zarisikiの問題 / Frobenius代数 / Rees代数 / 特異点 / Cohen-Maculay加群 / 局所環 / ヤコービ和 / Lー関数 / ハッセーウィット行列 / アウスランダー・ゴレンシュタイン環 / 被約グレード / 自己移入次元 / 非可換ネター環 / 非可換ゴレンシュタイン環 / 群多元環 / Auslander-Reitenクイバー / 群 / 傾理論 / アウスランダー・レイテンクイバー / 加群圏 / 群環 / 自己入射多元環 / クイバー / 圏 / 表現 / 加群 / 多元環 / 環 / Morita duality / Quasi-Frobenius ring / Moritaduality / Harada ring / skew-matrix ring / Nakayama ring / Quasi Frobenius ringa / 環論・表現論 / serial group algebra / Faith conjecture / Harada rings / skew matrix rings / Nakayama rings / Quasi-Frobenius rings / 環論 / Faith予想 / Nakayama環 / Quasi-Frobenius 環 / アルチン環 / ハッセウィット行列 / 相互法則 / P進L関数 / Dedekind和 / L^2評価 / スタイン多様体 / 積分公式 / ∂問題 Less
  • Research Projects

    (13 results)
  • Research Products

    (21 results)
  • Co-Researchers

    (43 People)
  •  Study of noncommutative Gorenstein rings

    • Principal Investigator
      HOSHINO Mitsuo
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tsukuba
  •  Representation theoretical research on algebraic structures of rings and module categories

    • Principal Investigator
      YAMAGATA Kunio
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  Filtered noetherian rings having homological finitenessPrincipal Investigator

    • Principal Investigator
      NISHIDA Kenji
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Shinshu 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
  •  Gorenstein dimension and Gorenstein algebrasPrincipal Investigator

    • Principal Investigator
      NISHIDA Kenji
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Shinshu University
  •  Structure theory and rerpresentation theory of noncommutative ringsPrincipal Investigator

    • Principal Investigator
      NISHIDA Kenji
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Shinshu University
  •  Homological structure and representation of Noetherian algebrasPrincipal Investigator

    • Principal Investigator
      NISHIDA Kenji
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Shinshu University
  •  Grassmann algebra with half infinite forms and its applications to the global analysis of mapping spaces

    • Principal Investigator
      ASADA Akira
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shinshu University
  •  代数関数の整数論的研究

    • Principal Investigator
      鷲尾 忠司
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagasaki University
  •  Study on algebras and their representations

    • Principal Investigator
      AKIBA Tomoharu, 吉野 雄二
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  P進L関数と関連するP進解析関数の研究

    • Principal Investigator
      工藤 愛知
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagasaki University
  •  等質空間上の幾何と調和解析

    • Principal Investigator
      梶本 ひろし
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagasaki University
  •  代数関数の研究

    • Principal Investigator
      鷲尾 忠司
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagasaki University

All 2011 2009 2008 2007 2006 2005 Other

All Journal Article Presentation

  • [Journal Article] Iwasawa Algebras, closed products and filtered rings2009

    • Author(s)
      西田 憲司
    • Journal Title

      Prooceedings of the 4lst Symposium on Ring Theory and Representation Theory

      Pages: 67-67

    • Data Source
      KAKENHI-PROJECT-18340011
  • [Journal Article] Linkage and duality of modules2008

    • Author(s)
      K. Nishida
    • Journal Title

      Mathematical J. Okayama Univ. (掲載決定)

    • NAID

      120002309586

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540021
  • [Journal Article] Linkage and duality of modules2008

    • Author(s)
      K. Nishida
    • Journal Title

      Mathematical J. Okayama Univ., (掲載決定)

    • NAID

      120002309586

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540021
  • [Journal Article] Cohen-Macaulay modules and holonomic modules over filtered rings2008

    • Author(s)
      H. Miyahara, K. Nishida
    • Journal Title

      Communications in Algebra, (掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540021
  • [Journal Article] Iwasawa algebras, crossed products and filtered rings2008

    • Author(s)
      西田憲司
    • Journal Title

      Proceedings of the 40th Symposium on Ring Theory and Representation Theory

      Pages: 12-17

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340011
  • [Journal Article] Cohen-Macaulay isolated singularities with a dualizing module2006

    • Author(s)
      K.Nishida
    • Journal Title

      Algebras and Representation Theory Vol. 9 no. 1

      Pages: 13-31

    • Data Source
      KAKENHI-PROJECT-17540021
  • [Journal Article] Cohen-Macaulay isolated singularities with a dualizing module2006

    • Author(s)
      K. Nishida
    • Journal Title

      Algebras and Representaion Theory 9

      Pages: 13-31

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540021
  • [Journal Article] Cohen-Macaulay isolated singularities with a dualizing module2006

    • Author(s)
      K. Nishida
    • Journal Title

      Algebras and Representation Theory 9

      Pages: 13-31

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540021
  • [Journal Article] A generalization of the Auslander formula2005

    • Author(s)
      K.Nishida, M.Hoshino
    • Journal Title

      Representation in Algebras and Representation Theory (in Press)

    • Data Source
      KAKENHI-PROJECT-14340007
  • [Journal Article] A generalization of the Auslander formula2005

    • Author(s)
      M.Hoshino, K.Nishida
    • Journal Title

      Fields Institute Communications Vol.45

      Pages: 175-186

    • Data Source
      KAKENHI-PROJECT-17540021
  • [Journal Article] A generalization of the Auslander formula

    • Author(s)
      K.Nishida, M.Hoshino
    • Journal Title

      Representation in Algebras and Representation Theory (in Press)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340007
  • [Journal Article] A generalization of the Auslander formula

    • Author(s)
      K.Nishida, M.Hoshino
    • Journal Title

      Representation in Algebras and Representation Theory (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340007
  • [Journal Article] Linkage, duality of module

    • Author(s)
      K. Nishida
    • Journal Title

      Math. J. Okayama Univ. (in press)

    • NAID

      120002309586

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540021
  • [Journal Article] Cohen-Macaulay modules and holonomic Modules over filtered rings

    • Author(s)
      H. Miyahara, K. Nishida
    • Journal Title

      Communications in Algebra (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540021
  • [Presentation] 整環の表現と傾加群2011

    • Author(s)
      西田憲司
    • Organizer
      56回代数学シンポジウム
    • Place of Presentation
      岡山大学
    • Year and Date
      2011-08-09
    • Data Source
      KAKENHI-PROJECT-21540035
  • [Presentation] 整環の表現と傾加群2011

    • Author(s)
      西田憲司
    • Organizer
      第56回代数学シンポジウム
    • Place of Presentation
      岡山大学環境理工学部(招待講演)
    • Year and Date
      2011-08-09
    • Data Source
      KAKENHI-PROJECT-21540035
  • [Presentation] フィルターネータ環上のマトリス双対2009

    • Author(s)
      亀山統胤、西田憲司
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-27
    • Data Source
      KAKENHI-PROJECT-21540035
  • [Presentation] Iwasawa algebras, crossed products and filtered rings2008

    • Author(s)
      西田憲司
    • Organizer
      第40回環論および表現論研究集会
    • Place of Presentation
      静岡大学
    • Year and Date
      2008-09-05
    • Data Source
      KAKENHI-PROJECT-18340011
  • [Presentation] Iwasawa algebras, closed products and filtered rings2008

    • Author(s)
      西田 憲司
    • Organizer
      第41回環論及び表現論研究集会
    • Place of Presentation
      静岡大学理学部
    • Year and Date
      2008-09-05
    • Data Source
      KAKENHI-PROJECT-18340011
  • [Presentation] Homological properties over filtered rings2007

    • Author(s)
      H. Miyahara(K. Nishida)
    • Organizer
      XII International Conference on Representation Theory
    • Place of Presentation
      ポーランド,トルン
    • Year and Date
      2007-08-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540021
  • [Presentation] Homological properties of filtered rings2007

    • Author(s)
      H. Miyahara, (K. Nishida)
    • Organizer
      XII International Conference on Representation Theory
    • Place of Presentation
      Poland Torun
    • Year and Date
      2007-08-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540021
  • 1.  YAMAGTA Kunio (60015849)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  北村 右一 (60128171)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  KOSHITANI Shigeo (30125926)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  YOSHINO Yuji (00135302)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  NINOMIYA Yasushi (40092887)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  工藤 愛知 (00112285)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  森川 良三 (90087081)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  安達 謙三 (70007764)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  鷲尾 忠司 (60039435)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  OSHIRO Kiyoichi (90034727)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  SATOU Masahisa (30143952)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  HANAKI Akihide (50262647)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  KUTAMI Mamoru (80034734)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  KIKUMASA Isao (70234200)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  ASASHIBA Hideto (70175165)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  KAWATA Shigeto (50195103)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  AKIBA Tomoharu (60027670)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  IWANAGA Yasuo (80015825)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  FUJITA H. (60143161)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  村田 嘉弘 (60212255)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  YOSHIMURA Hiroshi (00182824)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  IIYORI Nobuo (00241779)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  KOIKE Kazutoshi (20225337)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  BABA Yositomo (10201724)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  MARUBAYASI Hidetoshi (00034702)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  IYAMA Osamu (70347532)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  MORI Izuru (50436903)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  WADA Tomoyuki (40003008)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  HOSHINO Mitsuo (90181495)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  KOGA Hirotaka (30736723)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  WATANABE Keiichi (10087083)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  GOTO Shiro (50060091)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  ASADA Akira (00020652)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  NAKAYAMA Kazuaki (20281040)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  MUKAI Juno (50029675)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  HIRANO Yasuyuki (90144732)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  TAKAHASHI Ryo (40447719)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  梶本 ひろし (50194741)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  小関 道夫 (90087073)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  津島 行男 (80047240)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  永田 雅宜 (00025230)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  山崎 愛一 (10283590)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  KAMEYAMA Noritsugu
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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