NISHIDA Kenji 西田憲司

… Alternative Names

西田憲司ニシダケンジ

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Researcher Number	70125392
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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

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)

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2. 北村右一 (60128171)

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3. KOSHITANI Shigeo (30125926)

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4. YOSHINO Yuji (00135302)

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5. NINOMIYA Yasushi (40092887)

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6. 工藤愛知 (00112285)

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7. 森川良三 (90087081)

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8. 安達謙三 (70007764)

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9. 鷲尾忠司 (60039435)

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10. OSHIRO Kiyoichi (90034727)

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11. SATOU Masahisa (30143952)

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12. HANAKI Akihide (50262647)

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13. KUTAMI Mamoru (80034734)

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14. KIKUMASA Isao (70234200)

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15. ASASHIBA Hideto (70175165)

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16. KAWATA Shigeto (50195103)

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17. AKIBA Tomoharu (60027670)

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18. IWANAGA Yasuo (80015825)

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19. FUJITA H. (60143161)

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20. 村田嘉弘 (60212255)

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21. YOSHIMURA Hiroshi (00182824)

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22. IIYORI Nobuo (00241779)

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23. KOIKE Kazutoshi (20225337)

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24. BABA Yositomo (10201724)

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25. MARUBAYASI Hidetoshi (00034702)

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26. IYAMA Osamu (70347532)

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27. MORI Izuru (50436903)

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28. WADA Tomoyuki (40003008)

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29. HOSHINO Mitsuo (90181495)

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30. KOGA Hirotaka (30736723)

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31. WATANABE Keiichi (10087083)

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32. GOTO Shiro (50060091)

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33. ASADA Akira (00020652)

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34. NAKAYAMA Kazuaki (20281040)

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35. MUKAI Juno (50029675)

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36. HIRANO Yasuyuki (90144732)

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37. TAKAHASHI Ryo (40447719)

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38. 梶本ひろし (50194741)

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39. 小関道夫 (90087073)

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40. 津島行男 (80047240)

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41. 永田雅宜 (00025230)

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42. 山崎愛一 (10283590)

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43. KAMEYAMA Noritsugu

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NISHIDA Kenji 西田 憲司

西田 憲司 ニシダ ケンジ

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Filtered noetherian rings having homological finitenessPrincipal Investigator

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Gorenstein dimension and Gorenstein algebrasPrincipal Investigator

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Structure theory and rerpresentation theory of noncommutative ringsPrincipal Investigator

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Homological structure and representation of Noetherian algebrasPrincipal Investigator

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

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[Journal Article] Linkage and duality of modules2008

Author(s)

NISHIDA Kenji 西田憲司

西田憲司ニシダケンジ