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ONODA Nobuharu  小野田 信春

ORCIDConnect your ORCID iD *help
… Alternative Names

小野田 信春  オノダ ノブハル

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Researcher Number 40169347
Other IDs
Affiliation (Current) 2025: 放送大学, 福井学習センター, 特任教授
Affiliation (based on the past Project Information) *help 2016 – 2019: 福井大学, 学術研究院工学系部門, 教授
2012 – 2015: 福井大学, 工学(系)研究科(研究院), 教授
2010 – 2011: 福井大学, 大学院・工学研究科, 教授
2010: 福井大学, 工学部, 教授
2008 – 2009: University of Fukui, 工学研究科, 教授 … More
2007 – 2008: University of Fukui, 大学院・工学研究科, 教授
2004 – 2005: 福井大学, 工学部, 教授
2000 – 2001: 福井大学, 工学部, 教授
1998: 福井大学, 教育学部, 教授
1995: 福井大学, 教育学部, 助教授
1992: 福井大学, 教育学部, 助教授
1988: 福井大学, 教育 学部数学教室, 助教授
1986: 福井大学, 教育学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
代数学・幾何学 / Algebra / Algebra / Basic analysis
Keywords
Principal Investigator
インド / 国際研究者交流 / アフィン代数幾何学 / 可換環論 / valuation ring / fiber ring / finite generation / polynomial ring / 代数学 / 多項式環 … More / India / International collaboration / アフィン代数幾何科学 / ファイブレーション … More
Except Principal Investigator
ホップ代数 / Smooth Vector / Quasi-Invariant Measure / Unitary Representation / 多項式環 / コサイクル変形 / 測地線 / algebraic function field / cancellation problem / valuation ring / polynomial ring / algebraic curve / affine algebraic geometry / 代数関数 / 代数関数体 / 消去問題 / 付置環 / 代数曲線 / 代数幾何学 / Inductive Limit / Difisomorphism / Manifold / Regular Representation / Diffeomorphism Group / 滑らかなベクトル / 準不変測度 / 直積構造 / 帰納極限 / 滑らかなスベクトル / ユニタリ表現 / 凖不変測度 / 微分同相群 / 多様体 / Yetter-Drinfeld module / trace formula / Frobenius extension / cocycle deformation / Hopf algebra / フロベニウス代数 / 分離的ホップ代数 / Yetter-Drinfeld加群 / トレース公式 / フロベニウス拡大 / モース理論 / Morse complex / Floer Homology / asymptoticall y flat / 断面曲率 / ポール / リーマン多様体 / ホップガロア拡大 / ホップ加群 / 可換環 / ヤコビアン予想 / 開代数幾何学 / 量子群 / ガロア理論 / 非退化 / 柆相変分法 Less
  • Research Projects

    (13 results)
  • Research Products

    (46 results)
  • Co-Researchers

    (14 People)
  •  Study of polynomial fibre ringsPrincipal Investigator

    • Principal Investigator
      Onoda Nobuharu
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Fukui
  •  Study of affine fibrationsPrincipal Investigator

    • Principal Investigator
      Onoda Nobuharu
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Fukui
  •  Commutative algebraic approach to the study of affine algebraic geometry focused on fibrationsPrincipal Investigator

    • Principal Investigator
      ONODA Nobuharu
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Fukui
  •  Study on affine algebraic varieties and extension of the base field

    • Principal Investigator
      ASANUMA Teruo
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Toyama
  •  Study of affine fibrationsPrincipal Investigator

    • Principal Investigator
      ONODA Nobuharu
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Fukui
  •  Research of the cancellation problem in affine algebraic geometry

    • Principal Investigator
      ASANUMA Teruo
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Toyama
  •  Study on subrings of polynomial ringsPrincipal Investigator

    • Principal Investigator
      ONODA Nobuharu
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Fukui
  •  Infinite Dimensional Representations and Related Topics

    • Principal Investigator
      SHIMOMURA Hiroaki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Fukui University
  •  STUDY ON HOPF-GALOIS THEORY

    • Principal Investigator
      DOI Yukio
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Fukui University
  •  ホップ代数と量子群

    • Principal Investigator
      土井 幸雄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Fukui
  •  変分問題の綜合的研究

    • Principal Investigator
      黒木 哲徳
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Fukui
  •  リーマン幾何学の綜合的研究

    • Principal Investigator
      黒木 哲徳
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Fukui
  •  ガロア理論と不変式論の研究

    • Principal Investigator
      土井 幸雄
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Fukui

All 2020 2019 2015 2014 2013 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] Polynomial Rings and Affine Algebraic geometry2020

    • Author(s)
      Shigeru Kuroda, Nobuharu Onoda, Gene Freudenburg
    • Total Pages
      315
    • Publisher
      Springer
    • ISBN
      9783030421359
    • Data Source
      KAKENHI-PROJECT-16K05096
  • [Book] 基礎から学ぶ線形代数2010

    • Author(s)
      黒木哲徳、小野田信春、古閑義之、芹生正史、高木丈夫、保倉理美
    • Total Pages
      185
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Journal Article] On finite generation of Noetherian algebras over two-dimensional regular local rings2020

    • Author(s)
      Dutta Amartya Kumar、Gupta Neena、Onoda Nobuharu
    • Journal Title

      Journal of Algebra

      Volume: 560 Pages: 241-265

    • DOI

      10.1016/j.jalgebra.2020.05.013

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05096
  • [Journal Article] Isomorphism classes of commutative algebras generated by idempotents2019

    • Author(s)
      Inoue Kazuyo、Kawai Hideyasu、Onoda Nobuharu
    • Journal Title

      Journal of Algebra and Its Applications

      Volume: - Issue: 02 Pages: 2150008-2150008

    • DOI

      10.1142/s0219498821500080

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05096
  • [Journal Article] Commutative rings over which algebras generated by idempotents are quotients of group algebras2015

    • Author(s)
      Hideyasu Kawai and Nobuharu Onoda
    • Journal Title

      Journal of Commutative Algebra

      Volume: 7 Issue: 3 Pages: 373-391

    • DOI

      10.1216/jca-2015-7-3-373

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540037
  • [Journal Article] On algebras which are locally A^1 in codimension-one2013

    • Author(s)
      S.M.Bhatwadekar, A.K.Dutta, Nobuharu Onoda
    • Journal Title

      Transactions of The American Mathematical Society

      Volume: 365 Pages: 4497-4537

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540037
  • [Journal Article] Commutative group algebras whose quotient rings by nilradical are generated by idempotents2011

    • Author(s)
      H. Kawai and N. Onoda
    • Journal Title

      Rocky Mountain J. Math.

      Volume: Vol.41 Pages: 229-238

    • NAID

      120006555341

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Journal Article] Commutative group algebras whose quotient rings by nilradicals are generated by idempotents2011

    • Author(s)
      H.Kawai, N.Onoda
    • Journal Title

      Rocky Mountain Journal of Mathematics

      Volume: 41 Pages: 229-238

    • NAID

      120006555341

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Journal Article] Accuracy of powers of accurate elements2008

    • Author(s)
      N.Onoda, and T.Sugatani
    • Journal Title

      Toyama Math. J Vol.31

      Pages: 59-67

    • NAID

      120002599128

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540018
  • [Journal Article] Accuracy of powers of accurate elements2008

    • Author(s)
      N. Onoda, T. Sugatani
    • Journal Title

      Toyama Mathematical Journal 31

      Pages: 59-67

    • NAID

      120002599128

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540018
  • [Journal Article] On finite generation of R-subalgebras of R [X]2008

    • Author(s)
      A.K.Dutta, and N.Onoda
    • Journal Title

      J.Algebra Vol.320

      Pages: 57-80

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540018
  • [Journal Article] On finite generation of R-subalgebras of R[X]2008

    • Author(s)
      A. K. Dutta, N. Onoda
    • Journal Title

      Journal of Algebra 320

      Pages: 57-80

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540018
  • [Journal Article] Some results on codimension-one A^1-fibrations2007

    • Author(s)
      A.K.Dutta, and N.Onoda
    • Journal Title

      J.Algebra Vol.313

      Pages: 905-921

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540018
  • [Journal Article] Some results on codimension-one A^1-fibrations2007

    • Author(s)
      A. K. Dutta and N. Onoda
    • Journal Title

      Journal of Algebra 313

      Pages: 905-921

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540018
  • [Journal Article] Commutative group algebras generated by idempotents2006

    • Author(s)
      H.Kawai, N.Onoda
    • Journal Title

      Mathematics Journal of Toyama University

    • NAID

      110004681245

    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Valuation rings of algebraic function fields in one variable2006

    • Author(s)
      T.Asanuma, N.Onoda
    • Journal Title

      Affine Algebraic Geometry

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Valuation rings of algebraic function fields in one variable2006

    • Author(s)
      浅沼照雄, 小野田信春
    • Journal Title

      宮西正宜教授退官記念論文集 Affine Algebraic Geometry 1(発行予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540016
  • [Journal Article] Valuation rings of algebraic function fields in one variable2006

    • Author(s)
      浅沼照雄, 小野田信春
    • Journal Title

      西正宜教授退官記念論文集 Affine Algebraic Geometry 1(未定)

    • Data Source
      KAKENHI-PROJECT-16540016
  • [Journal Article] Valuation rings of algebraic function fields in one variable2006

    • Author(s)
      T.Asanuma, N.Onoda
    • Journal Title

      Affine Algebraic Geometry (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Commutative group algebras generated by idempotents2005

    • Author(s)
      H.Kawai, N.Onoda
    • Journal Title

      Toyama Mathematical Journal 28

      Pages: 41-54

    • NAID

      110004681245

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Commutative group algebras generated by idempotents2005

    • Author(s)
      H.Kawai, N.Onoda
    • Journal Title

      Toyama Mathematical Journal Vol.28

      Pages: 41-54

    • NAID

      110004681245

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Generic fibrations by A^1 and A^* over discrete valuation rings2005

    • Author(s)
      T.Asanuma, N.Onoda
    • Journal Title

      Contemporary Mathematics Vol.369

      Pages: 47-62

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Generic fibrations by $A^1$ and $A-*$ over discrete valuation rings2005

    • Author(s)
      浅沼照雄, S.M.Bhatwadekar, 小野田信春
    • Journal Title

      Affine algebraic geometry, Contemporary Mathematics 369

      Pages: 47-62

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540016
  • [Journal Article] Generic fibrations by A^1 and A^* over discrete valuation rings2005

    • Author(s)
      浅沼照雄, S.M.Bhatwadekar, 小野田信春
    • Journal Title

      Contemporary Mathematics 369

    • Data Source
      KAKENHI-PROJECT-16540016
  • [Journal Article] Generic fibrations by A^1 and A^* over discrete valuation rings2005

    • Author(s)
      T.Asanuma, N.Onoda
    • Journal Title

      Contemporary Mathematics 369

      Pages: 47-62

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Generic fibrations by affine curves over discrete valuation rings2005

    • Author(s)
      T.Asanuma, M.Onoda
    • Journal Title

      第26回可換環論シンポジウム報告集

      Pages: 36-44

    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Generic fibrations by affine curves over discrete valuation rings2005

    • Author(s)
      T.Asanuma, N.Onoda
    • Journal Title

      26th Symposium on Commutative Algebra

      Pages: 36-44

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Generic fibrations by affine curves over discrete valuation rings2005

    • Author(s)
      T.Asanuma, N.Onoda
    • Journal Title

      第26回可換環論シンポジウム報告集

      Pages: 36-44

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Generic fibrations by $A^1$ and $A^*$ over discrete valuation rings2005

    • Author(s)
      Teruo Asanuma, S.M.Bhatwadekar, Nobuharu Onoda
    • Journal Title

      Affine Algebraic Geometry, Contemp.Math. 369

      Pages: 47-62

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540016
  • [Journal Article] Idealizers, Complete Integral Closures and Almost Pseudo-valuation Domains2004

    • Author(s)
      N.Onoda, T.Sugatani, et al.
    • Journal Title

      Kyungpook Mathematical Journal 44

      Pages: 557-563

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Idealizers, Complete Integral Closures and Almost Pseudo-valuation Domains2004

    • Author(s)
      N.Onoda, T.Sugatani, et al.
    • Journal Title

      Kyungpook Mathematical Journal Vol.44

      Pages: 557-563

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540018
  • [Journal Article] Valuation rings of algebraic function fields in one variable

    • Author(s)
      Teruo Asanuma, Nobuharu Onoda
    • Journal Title

      Affine Algebraic Geometry in honor of Professor Masayoshi Miyanishi (Osaka University Press) (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540016
  • [Journal Article] On algebras which are locally A^1 in codimension-one

    • Author(s)
      S. M. Bhatwadekar, A. K. Dutta and N. Onoda
    • Journal Title

      Trans. Amer. Math.

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Presentation] Poincare series of the kernel of a locally nilpotent derivation on the polynomial ring2014

    • Author(s)
      Nobuharu Onoda
    • Organizer
      アフィン代数幾何学研究シンポジウム
    • Place of Presentation
      首都大学東京
    • Year and Date
      2014-09-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540037
  • [Presentation] On finite generation of algebras over two-dimensional regular local rings2013

    • Author(s)
      小野田信春
    • Organizer
      第11回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540037
  • [Presentation] Some results on polynomial fibrations over two-dimensional normal domains2011

    • Author(s)
      N. Onoda
    • Organizer
      第8回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Year and Date
      2011-09-02
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Presentation] Some results on polynomial fibrations over two-dimensional normal domains2011

    • Author(s)
      N.Onoda
    • Organizer
      第8回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス(招待講演)
    • Year and Date
      2011-09-02
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Presentation] Some results on finite generation of algebras of certain type2011

    • Author(s)
      N.Onoda
    • Organizer
      Math.Colloquium at TIFR
    • Place of Presentation
      Tata Institute of Fundamental Research(招待講演)
    • Year and Date
      2011-03-17
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Presentation] Some patching results on algebras over two-dimensional factorial domains2010

    • Author(s)
      小野田信春
    • Organizer
      アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Year and Date
      2010-09-05
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Presentation] Some patching results on algebras over two-dimensional factorial domains2010

    • Author(s)
      N. Onoda
    • Organizer
      第6回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Year and Date
      2010-09-05
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Presentation] Some remarks on A^1-fibrations in codimension-one2009

    • Author(s)
      N. Onoda
    • Organizer
      第4回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Year and Date
      2009-09-03
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Presentation] Some remarks on A1-fibrations in codimension-one2009

    • Author(s)
      Nobuharu Onoda
    • Organizer
      アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Year and Date
      2009-09-03
    • Data Source
      KAKENHI-PROJECT-21540034
  • [Presentation] On codimension-one A^1-fibrations2008

    • Author(s)
      小野田信春
    • Organizer
      アフィン代数幾何学研究、On codimension-one集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Year and Date
      2008-09-03
    • Data Source
      KAKENHI-PROJECT-19540018
  • [Presentation] On codimension-one A^1-fibrations2008

    • Author(s)
      Nobuharu Onoda
    • Organizer
      アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Year and Date
      2008-09-03
    • Data Source
      KAKENHI-PROJECT-19540018
  • [Presentation] On codimension-one A^1-fibrations over Noetherian normal domains2007

    • Author(s)
      小野田信春
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      ウェルシティなごや
    • Year and Date
      2007-11-20
    • Data Source
      KAKENHI-PROJECT-19540018
  • [Presentation] On codimension-one A^1-fibrations over Ncetherian normal domains2007

    • Author(s)
      Nobuharu Onoda
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      ウェルシティなごや
    • Year and Date
      2007-11-20
    • Data Source
      KAKENHI-PROJECT-19540018
  • 1.  DOI Yukio (50015765)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 2.  MIKAMI Shunsuke (00126640)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  SHIMOMURA Hiroaki (20092827)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  YASUKURA Osami (00191122)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  黒木 哲徳 (90022681)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  ASANUMA Teruo (50115127)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 6 results
  • 7.  北村 眞一 (50020079)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  時田 武 (00020123)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  山口 光代 (50029518)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  BHATWADEKAR S. M.
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 2 results
  • 11.  DUTTA A. K.
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 2 results
  • 12.  杉谷 貞男 (20112005)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  S.M.BHATWADEKAR
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  A.K.DUTTA
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results

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