Ikehata Shuichi 池畑秀一

… Alternative Names

Researcher Number	20116429
Other IDs
Affiliation (Current)	2020: 岡山大学, その他部局等, 特任教授
Affiliation (based on the past Project Information) *help	2011 – 2015: 岡山大学, 自然科学研究科, 教授 2009: 岡山大学, 大学院・自然科学研究科, 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 2005: 岡山大学, 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 1986 – 1993: 岡山大学, 教養部, 助教授
Review Section/Research Field	Principal Investigator 代数学・幾何学 / Algebra Except Principal Investigator Algebra / 代数学・幾何学 / 解析学 / Geometry / Geometry / General mathematics (including Probability theory/Statistical mathematics) / Algebra
Keywords	Principal Investigator 歪多項式環 / ガロア拡大 / 分離拡大 / 車屋多元環 / Hー分離拡大 / 純非分離拡大 / 導分 / 平田分離拡大 / 平田分離多項式 / 分離多項式 … More Except Principal Investigator 球面 / 次元公式 / 多様体 / 群作用 / 歪多項式環 / 導分 / イデアル / 接合積 / 多項式環 / Hilbert Modular / trace formula / Crossed Product / 変換群 / 不動点 / 入射加群 / 微分加群 / 単純加群 / 自己同型 / sphere / Hilbert bimodule / ガロア拡大 / 高次微分 / derivation / 順序半群 / 半群環 / quadratic module / intersection form / Hermitian module / Burnside ring / Green functor / 環 / 加群 / 微分作用素 / 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) / 保型形式 / 尖点形式 / ヘッケ作用素 / スダイナーシステム / 等周不等式 / 有限群 / カスプフォーム / 環拡大 / 環の分離拡大 / 環のガロア拡大 / ガロア理論 / ガロア群 / ガロアの基本定理 / 可換環 / 非可換環 / Hilbert C^-bimodule / 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 / orthogonal array / 直交配列 / Rao's bound / ste:ner system / 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 / 正則環 / 半素環 / 自己準同型環 / 微分加郡 / 素根基 / 素イデアル / 係数環 / 入射包絡 / テ-タ関数 / エルゴード定理 / Skew Polynomial Ring / Regular Ring / Derivation / Injectuve Module / Module of Differentials / Semiprime Ring / Endomorphism Ring / Ideal / G-作用 / fixed point / G-action / ヒルベルト双加群 / 力学系 / 単純性 / C^-algebra / crossed product / Crossed product / dynamical system / Simplicity / ホップ代数 / 微分 / ジョルダン微分 / 関手 / 一般化微分 / 余加群多元環 / ワイル代数 / Galois extension / generalized derivation / Jordan derivation / higher derivation / 微分作用素環 / 歪微分作用素環 / 東屋多元環 / 順序群 / 歪群環 / 純非分離拡大 / 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 / 特異点集合 / Dress型誘導理論 / Mackey functor / w-Mackey functor / K-Theory / 変換 / surgery / surgery obstruction / selfmtersection form / nonlinear action / 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 / ネーター環 / 巡回加群 / 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 / 行列環 / Noetherian ring / ideal / cyclic module / simple module / module of finite length / completely reducible / socle / 手術理論 / 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 Less

Studies of Hirata separable extendions and related ring extensionsPrincipal Investigator
- Principal Investigator
  
  Ikehata Shuichi
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
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
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
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
  
  NAKAJIMA Atsushi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  OKAYAMA UNIVERSITY
Skew Polynomial Rings and Regular Rings
- Principal Investigator
  
  HIRANO Yasuyuki
- Project Period (FY)
  1997 – 1998
- 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
環の分離拡大とガロア理論
- Principal Investigator
  
  永原賢
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- 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
  
  石川洋文
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- 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
  
  石川洋文
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
代数的組合せ論の研究
- Principal Investigator
  
  野田隆三郎
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Okayama University
歪多項式環の理論とその応用Principal Investigator
- 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
  
  NAKAJIMA Atsushi
- 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
代数的組合せ論の研究
- Principal Investigator
  
  野田隆三郎
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Okayama University

All 2016 2015 2014 2013 2012 2011

All Journal Article Presentation

[Journal Article] On weakly separable extensions2015
- Author(s)
  山中聡, 池畑秀一
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1964
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23540049
[Journal Article] On Frobenius polynomials in skew polynomial rings2014
- Author(s)
  山中聡, 池畑秀一
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1915
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23540049
[Journal Article] On Galois polynomials in skew polynomial rings2014
- Author(s)
  山中聡, 池畑秀一
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1873
- Data Source
  KAKENHI-PROJECT-23540049
[Journal Article] On Galois polynomials of degree p in skew polynomial rings of derivation type2013
- Author(s)
  Satoshi Yamanaka and Shuichi Ikehata
- Journal Title
  
  Southeast Asian Bulletin of Mathematics
  
  Volume: 37, no.4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540049
[Journal Article] 歪多項式環における宮下の定理の別証明,2012
- Author(s)
  山中聡, 池畑秀一
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1809 Pages: 214-223
- Data Source
  KAKENHI-PROJECT-23540049
[Journal Article] An alternative proof of Miyashita’s theorem in a skew polynomial ring2012
- Author(s)
  Satoshi Yamanaka and Shuichi Ikehata
- Journal Title
  
  International Journal of Algebra
  
  Volume: 6, no.21 Pages: 1011-1023
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540049
[Journal Article] On a theorem of A. Micali and A. Paques2011
- Author(s)
  Shuichi Ikehata
- Journal Title
  
  International Journal of Algebra
  
  Volume: 5 Pages: 1155-1159
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540049
[Journal Article] On Galois extensions of rings with an inner automorphism group2011
- Author(s)
  Shuichi Ikehata
- Journal Title
  
  数理解析研究所講究録（代数と言語のアルゴリズムと計算理論）
  
  Volume: 1769 Pages: 66-69
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] Remarks on weakly separable extensions2016
- Author(s)
  Satoshi Yamanaka, Shuichi Ikehata
- Organizer
  代数系、論理、言語と計算機科学
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-02-16
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] Morita equivalence in ring extension and congruence of functors2016
- Author(s)
  Satoshi Yamanaka, Hiroaki Komatsu, Shuichi Ikehata
- Organizer
  代数系、論理、言語と計算機科学
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-02-16
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] On weakly separable extensions2015
- Author(s)
  山中聡, 池畑秀一
- Organizer
  代数系・論理・言語と計算機科学の新たな接点
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-02-16
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] On a theorem of G. Szeto and L. Xue2015
- Author(s)
  Shuichi Ikehata
- Organizer
  The Conference on Ring theory in honor of Professor George Szeto on his retirement
- Place of Presentation
  岡山大学環境理工学部
- Year and Date
  2015-11-14
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] On Frobenius polynomials in skew polynomial rings2014
- Author(s)
  山中聡, 池畑秀一
- Organizer
  計算機科学における論理・代数・言語
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] Some topics on skew polynomial rings2014
- Author(s)
  Shuichi Ikehata
- Organizer
  Algebra Colloquium
- Place of Presentation
  Bradley University
- Year and Date
  2014-09-03
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] 歪多項式環と種々の分離拡大2013
- Author(s)
  池畑秀一
- Organizer
  環論研究集会
- Place of Presentation
  大阪樟蔭女子大学関谷キャンパス
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] On Galois polynomials of degree p in skew polynomial rings of derivation type II2013
- Author(s)
  山中聡, 池畑秀一
- Organizer
  日本数学会春季年会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] On Galois polynomials in skew polynomial rings2013
- Author(s)
  山中聡, 池畑秀一
- Organizer
  代数とコンピュータサイエンス
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] Hirata separable polynomials and Galois polynomials in skew polynomial rings2013
- Author(s)
  池畑秀一
- Organizer
  Algebra Colloquium
- Place of Presentation
  Bradley University, 米国
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] 歪多項式環におけるガロア多項式について2012
- Author(s)
  山中聡, 池畑秀一
- Organizer
  日本数学会中国四国支部
- Place of Presentation
  岡山大学環境理工学部
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] 歪多項式環における宮下の定理の別証明2012
- Author(s)
  山中聡, 池畑秀一
- Organizer
  京都大学数理解析研究所研究集会（代数系および計算機科学基礎）
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] On Galois polynomials of degree p in skew polynomial rings of derivation type2012
- Author(s)
  山中聡, 池畑秀一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23540049
[Presentation] Hirata separable extensions and skew polynomial rings I, II, and III,2012
- Author(s)
  池畑秀一
- Organizer
  Conference in Ring theory
- Place of Presentation
  Sun Yat-Sen University, 中国
- Invited
- Data Source
  KAKENHI-PROJECT-23540049

1. NAKAJIMA Atsushi (30032824)

# 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. ISHIKAWA Hirofumi (00108101)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
4. HIRANO Yasuyuki (90144732)

# of Collaborated Projects: 7 results

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5. MORIMOTO Masaharu (30166441)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. KAJIWARA Tsuyoshi (50169447)

# of Collaborated Projects: 5 results

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7. 脇本和昌 (90033159)

# of Collaborated Projects: 4 results

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8. SHIMAKAWA Kazuhisa (70109081)

# of Collaborated Projects: 4 results

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9. 実方宜洋 (70033355)

# of Collaborated Projects: 3 results

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10. TASAKA Takashi (60012407)

# of Collaborated Projects: 3 results

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11. HIRAI Yasuhisa (70156636)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. 堤陽 (30029631)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. SASAKI Toru (20260664)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. 洞彰人 (10212200)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 曽布川拓也 (60252946)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. TANAKA Katsumi (60207082)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. SATO Ryotaro (50077913)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. KOMATSU Hiroaki (10178361)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. 神保秀一 (80201565)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 長畑秀和 (70135672)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 永原賢 (70032802)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 兼田均 (10093014)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. AIKAWA Tetsuya (40032817)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. OKUYAMA Takashi (20177190)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. CHIBA Katsuo (60141933)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Ikehata Shuichi 池畑 秀一

IKEHATA Shuichi 池畑 秀一

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Ikehata Shuichi 池畑秀一

IKEHATA Shuichi 池畑秀一