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NAKAJIMA Atsushi  中島 惇

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中島 惇  ナカジマ アツシ

中嶋 惇  ナカジマ アツシ

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Researcher Number 30032824
Other IDs
Affiliation (based on the past Project Information) *help 2009: 岡山大学, 大学院・自然科学研究科, 名誉教授
2005 – 2007: OKAYAMA UNIVERSITY, Graduate School of Natural Science and Technology, Professor, 大学院・自然科学研究科, 教授
1994 – 2004: 岡山大学, 環境理工学部, 教授
2002: 岡山県立大学, 情報工学部, 教授
1993: 岡山大学, 教養部, 教授
1987 – 1991: 岡山大学, 教養部, 教授
Review Section/Research Field
Principal Investigator
Algebra / 代数学・幾何学
Except Principal Investigator
Geometry / Algebra / 解析学 / Geometry / 代数学・幾何学 / Algebra / Global analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
higher derivation / Jordan derivation / generalized derivation / derivation / Galois extension / 歪多項式環 / ワイル代数 / 接合積 / 余加群多元環 / 一般化微分 … More / 関手 / 微分加群 / 高次微分 / ジョルダン微分 / 微分 / ガロア拡大 / ホップ代数 / フェルマ-点(Fermat's point) / スタイナ-の問題(Steine's problem) / H-分離拡大(H-separable extension) / 東屋多元環(Azumqga algebra) / 歪多項式環(skew polyuomial ring) / ガロウ拡大(Galois extension) / ホップ代数(Hopf algebra) / 双代数(Bialgebra) … More
Except Principal Investigator
球面 / 変換群 / 多様体 / 微分作用素 / 多項式環 / 群作用 / 導分 / 行列環 / 加群 / 環 / Green functor / Burnside ring / Hermitian module / intersection form / quadratic module / イデアル / 半群環 / 順序半群 / C^*-algebra / Hilbert bimodule / 力学系 / 接合積 / ヒルベルト双加群 / sphere / 不動点 / Crossed Product / Hilbert C^*-bimodule / 特異点集合 / 手術理論 / 純非分離拡大 / ガロア拡大 / 歪多項式環 / equivariant connected sum / fixed point set / transformation groups / quivariant manifold / homology / surgery theory / Burnside環 / Mackey函手 / 被覆空間 / ホモロジー同値 / 同変連結和 / 不動点集合 / 同変多様体 / ホモロジー / socle / completely reducible / derivation / module of finite length / simple module / cyclic module / ideal / Noetherian ring / 商体 / 整閉整域 / 直和因子 / 半単純アルチン環 / ソークル / 完全可約 / 組成列 / 単純加群 / 巡回加群 / ネーター環 / Prime ring / Matrix ring / Ring extension / Generalized derivation / Differential operator / Module of differentials / 微分演算子 / 非可換環 / 一般微分 / 素環 / 環拡大 / 一般導分 / 微分加群 / differential operator / distributive ring / annihilator ideal / monoid ring / polynomial ring / totally ordered monoid / module / ring / 平坦 / 零下イデアル / モノイド / 分配環 / 零化イデアル / 全順序モノイド / Discrete dynamical system / 可算生成 / ヒルベルトC^*-双加群 / 可算生成加群 / 複素力学系 / ヒメベルトC^*-双加群 / 離散力学系 / C*環 / nonlinear action / selfmtersection form / surgery obstruction / surgery / 変換 / K-Theory / w-Mackey functor / Mackey functor / Dress型誘導理論 / Coupled K-Theory / 非線形作用 / selfintersection form / 手術障害類 / Higher Derivation / Azumaya Algebra / Shew Polynomial Ring / Monoid Ring / Ordered monoid / Skew Differential Operator / Differential Operator / 不変部分環 / 入射加群 / 自己同型 / 歪群環 / 順序群 / 高次微分 / 東屋多元環 / 歪微分作用素環 / 微分作用素環 / Simplicity / dynamical system / Crossed product / crossed product / 単純性 / G-action / fixed point / G-作用 / グラフ表現 / 統計解析 / プロット / 多変量解析 / 統計グラフ / 解の寿命 / 解のC^∞性 / 準楕円性 / 関数方程式 / 偏微分方程式 / Laitien予想 / 実表現 / Smith同値 / 接空間 / 有限群の作用 / Oliver 群 / 球面上の群作用 / Laitinen 予想 / Smith 問題 / gap群 / Oliver群 / 接空間表現 / Laitinen予想 / Smith問題 / 球面上の作用 / 微分トポロジー / 変換群論 / ヴィット群 / K-theory / Bundle / K-理論 / 非線型作用 / 群の作用 / Hー分離拡大 / 分離拡大 / 車屋多元環 / 次元公式 / ヘッケ作用素 / 尖点形式 / 保型形式 Less
  • Research Projects

    (20 results)
  • Co-Researchers

    (21 People)
  •  Study of Smith's Problem and Laitinen's Conjecture

    • Principal Investigator
      MORIMOTO Masaharu
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Okayama University
  •  Modules over Noethrian rings and Abelian Groups

    • Principal Investigator
      HIRANO Yasuyuki
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      OKAYAMA UNIVERSITY
  •  Study of equivariant homology surgery theory and its applications

    • Principal Investigator
      MORIMOTO Masaharu
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      OKAYAMA UNIVERSITY
  •  Polynomial Rings and Totally Ordered Monoid Rings

    • Principal Investigator
      HIRANO Yasuyuki
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      OKAYAMA UNIVERSITY
  •  Fundamental research on modules of differentials of noncommutative algebras and its application

    • Principal Investigator
      KOMATSU Hiroaki
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Okayama Prefectural University
  •  Study of coupled K-theory and its applications to non-linear actions

    • Principal Investigator
      MORIMOTO Masaharu
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      OKAYAMA UNIVERSITY
  •  Research for Hilbert C^* -bimodules and its application to dicrite dynamical systems

    • Principal Investigator
      KAJIWARA Tsuyoshi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      OKAYAMA UNIVERSITY
  •  Structure of Rings of Differential Operators and Poisson Algebras

    • Principal Investigator
      HIRANO Yasuyuki
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      OKAYAMA UNIVERSITY
  •  Hopf algebra smash product and Quantum Weyl algebraPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Atsushi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      OKAYAMA UNIVERSITY
  •  Study of control theory of the fixed point sets on spheres

    • Principal Investigator
      MORIMOTO Masaharu
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      OKAYAMA UNIVERSITY
  •  Research for Hilbert C^*-bimodules and associated C^*-algebras

    • Principal Investigator
      KAJIWARA Tsuyoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Okayama University
  •  ヴィット群の拡張と幾何学的応用の研究

    • Principal Investigator
      森本 雅治
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Okayama University
  •  表現論の手法によるジョーンズ指数理論の研究

    • Principal Investigator
      梶原 毅
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Okayama University
  •  スタインベルグ群の拡張とその応用の研究

    • Principal Investigator
      森本 雅治
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Okayama University
  •  非線型作用とK-理論の研究

    • Principal Investigator
      森本 雅治
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Okayama University
  •  歪多項式環の理論とその応用

    • Principal Investigator
      池畑 秀一
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Okayama University
  •  Hilbert型多変数保型形式に関する諸問題の考察

    • Principal Investigator
      ISHIKAWA Hirofumi
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Okayama University
  •  Bialgebraが作用する環の構造の研究と応用Principal Investigator

    • Principal Investigator
      中島 惇
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Okayama University
  •  グラフ手法による統計的推定法・検定法の研究

    • Principal Investigator
      脇本 和昌
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Okayama University
  •  偏微分方程式の解の構造の研究と応用

    • Principal Investigator
      堤 陽
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Okayama University
  • 1.  IKEHATA Shuichi (20116429)
    # of Collaborated Projects: 16 results
    # of Collaborated Products: 0 results
  • 2.  NODA Ryuzaburo (70029726)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 3.  MORIMOTO Masaharu (30166441)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  ISHIKAWA Hirofumi (00108101)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  HIRANO Yasuyuki (90144732)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  KAJIWARA Tsuyoshi (50169447)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  SHIMAKAWA Kazuhisa (70109081)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  脇本 和昌 (90033159)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  SASAKI Toru (20260664)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  KOMATSU Hiroaki (10178361)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  HIRAI Yasuhisa (70156636)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  HORA Akihito (10212200)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  堤 陽 (30029631)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  長畑 秀和 (70135672)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  高橋 敏雄 (70040102)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  實方 宣洋 (70033355)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  TANAKA Katsumi (60207082)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  TASAKA Takashi (60012407)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  WATATANI Yasuo (00175077)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  OKUYAMA Takashi (20177190)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  CHIBA Katsuo (60141933)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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