• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Ikehata Shuichi  池畑 秀一

ORCIDConnect your ORCID iD *help
… Alternative Names

IKEHATA Shuichi  池畑 秀一

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

    (23 results)
  • Research Products

    (22 results)
  • Co-Researchers

    (25 People)
  •  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 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 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 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] 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] 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] 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
  • [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
  • [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] 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] 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] 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 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] 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] 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
  • [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
  • 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
    # of Collaborated Products: 0 results
  • 5.  MORIMOTO Masaharu (30166441)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  KAJIWARA Tsuyoshi (50169447)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  脇本 和昌 (90033159)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  SHIMAKAWA Kazuhisa (70109081)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  実方 宜洋 (70033355)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  TASAKA Takashi (60012407)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 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

URL: 

Are you sure that you want to link your ORCID iD to your KAKEN Researcher profile?
* This action can be performed only by the researcher himself/herself who is listed on the KAKEN Researcher’s page. Are you sure that this KAKEN Researcher’s page is your page?

この研究者とORCID iDの連携を行いますか?
※ この処理は、研究者本人だけが実行できます。

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi