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NAKAJIMA Atsushi
中島 惇
Connect your ORCID iD
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Alternative Names
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)
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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
代数学・幾何学
/
Algebra
Except Principal Investigator
Geometry
/
解析学
/
Algebra
/
代数学・幾何学
/
Geometry
/
General mathematics (including Probability theory/Statistical mathematics)
/
Global analysis
/
Algebra
Keywords
Principal Investigator
双代数(Bialgebra) / ホップ代数(Hopf algebra) / ガロウ拡大(Galois extension) / 歪多項式環(skew polyuomial ring) / 東屋多元環(Azumqga algebra) / H-分離拡大(H-separable extension) / スタイナ-の問題(Steine's problem) / フェルマ-点(Fermat's point) / ホップ代数 / ガロア拡大
…
More
/ 微分 / ジョルダン微分 / 高次微分 / 微分加群 / 関手 / 一般化微分 / 余加群多元環 / 接合積 / ワイル代数 / 歪多項式環 / Galois extension / derivation / generalized derivation / Jordan derivation / higher derivation
…
More
Except Principal Investigator
多様体 / 変換群 / 球面 / 導分 / 群作用 / 多項式環 / 微分作用素 / 歪多項式環 / ガロア拡大 / 純非分離拡大 / 手術理論 / 特異点集合 / Hilbert C^*-bimodule / Crossed Product / 不動点 / sphere / ヒルベルト双加群 / 接合積 / 力学系 / Hilbert bimodule / C^*-algebra / 順序半群 / 半群環 / イデアル / quadratic module / intersection form / Hermitian module / Burnside ring / Green functor / 環 / 加群 / 行列環 / 保型形式 / 尖点形式 / ヘッケ作用素 / 次元公式 / 車屋多元環 / 分離拡大 / Hー分離拡大 / 群の作用 / 非線型作用 / K-理論 / Bundle / K-theory / ヴィット群 / 変換群論 / 微分トポロジー / 球面上の作用 / Smith問題 / Laitinen予想 / 接空間表現 / Oliver群 / gap群 / Smith 問題 / Laitinen 予想 / 球面上の群作用 / Oliver 群 / 有限群の作用 / 接空間 / Smith同値 / 実表現 / Laitien予想 / 偏微分方程式 / 関数方程式 / 準楕円性 / 解のC^∞性 / 解の寿命 / 統計グラフ / 多変量解析 / プロット / 統計解析 / グラフ表現 / G-作用 / fixed point / G-action / 単純性 / crossed product / Crossed product / dynamical system / Simplicity / 微分作用素環 / 歪微分作用素環 / 東屋多元環 / 高次微分 / 順序群 / 歪群環 / 自己同型 / 入射加群 / 不変部分環 / Differential Operator / Skew Differential Operator / Ordered monoid / Monoid Ring / Shew Polynomial Ring / Azumaya Algebra / Higher Derivation / 手術障害類 / selfintersection form / 非線形作用 / Coupled K-Theory / Dress型誘導理論 / Mackey functor / w-Mackey functor / K-Theory / 変換 / surgery / surgery obstruction / selfmtersection form / nonlinear action / C*環 / 離散力学系 / ヒメベルトC^*-双加群 / 複素力学系 / 可算生成加群 / ヒルベルトC^*-双加群 / 可算生成 / Discrete dynamical system / 全順序モノイド / 零化イデアル / 分配環 / モノイド / 零下イデアル / 平坦 / ring / module / totally ordered monoid / polynomial ring / monoid ring / annihilator ideal / distributive ring / differential operator / 微分加群 / 一般導分 / 環拡大 / 素環 / 一般微分 / 非可換環 / 微分演算子 / Module of differentials / Differential operator / Generalized derivation / Ring extension / Matrix ring / Prime ring / ネーター環 / 巡回加群 / 単純加群 / 組成列 / 完全可約 / ソークル / 半単純アルチン環 / 直和因子 / 整閉整域 / 商体 / Noetherian ring / ideal / cyclic module / simple module / module of finite length / derivation / completely reducible / socle / ホモロジー / 同変多様体 / 不動点集合 / 同変連結和 / ホモロジー同値 / 被覆空間 / Mackey函手 / Burnside環 / surgery theory / homology / quivariant manifold / transformation groups / fixed point set / equivariant connected sum
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Research Projects
(
20
results)
Co-Researchers
(
21
People)
Project Start Year (Newest)
Project Start Year (Oldest)
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 algebra
Principal 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
# of Projects (Dsc)
# of Projects (Asc)
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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