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MIAYCHI Jun-ichi  宮地 淳一

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宮地 淳一  ミヤチ ジュンイチ

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Researcher Number 50209920
Other IDs
Affiliation (Current) 2020: 東京学芸大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help 2004 – 2012: 東京学芸大学, 教育学部, 教授
1997 – 2004: 東京学芸大学, 教育学部, 助教授
1995: 東京学芸大学, 教育学部, 助教授
1990 – 1993: 東京学芸大学, 教育学部, 講師
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
解析学 / Algebra / 代数学・幾何学 / Algebra
Keywords
Principal Investigator
導来圏 / 鎖複体 / Grothendieck群 / Dutta multiplicity / Derived category / Chain complex / 環論 / 三角圏 / ホモトピー圏 / Recollement … More / 完全環 / recollement / Chow群 / Frobenius多元環 / Tilting complex / Grothendieck group / Gorenstein / 環 / 導来カテゴリー / 完全鎖複体 / ネーター環 / コーエン・マコーレー加群 / 安定圏 / graded ring / 多様体 / コンパクト対象 / フロベニウス多元環 / 加群圏 / 森田同値 / 安定同値 / N鎖複体 / 上三角行列環 / 次数環 / 多項式環 / 特異点 / Iwanaga-Gorenstein環 / Cohen-Macaulay加群 / Cox環 / 標準因子 / stable t-structure / Serre functor / functorially finite部分圏 / Calabi-Yau三角圏 / Seshadri constant / 射影平面 / 森田双対理論 / Auslander-Gorenstein環 / 入射加群 / ハミルトニアン / Chern character / 双対鎖複体 / Cohen-Macaulay環 / blow-up / 量子 / Morita duality theory / Auslander-Gorenstein ring / Injective module / Perfect ring / Hamiltonian / Picard群 / 導来Picard群 / 遺伝多元環 / 導来Picarrd群 / t-structure / torsion theory / compact object / intersection multiplicity / Roberts ring / Picard groups / Derived Picard groups / Hereditary algebras / Grothendieck groups / Chow groups / Frobenius algebras / 対称多元環 / グラスマン多様体 / quasi-Frobenius拡大 / 群環 / 因子類群 / 斉次座標環 / 自己入射的多元環 / 準フロベニウス環拡大 / socle / tilting複体 / ネーター局所環 / Symmetric algebra / Grassmanian / Quasi-Frobenius extension / 非有界導来圏 / アウスランダー条件 / 傾斜鎖複体 / 導来ピカール群 / ヒルベルト・クンツ関数 / ゴーレンシュタイン環 / 平坦次元 / 傾斜加群 / 傾斜対象 / 自己三角同値群 / 非有界鎖複体 / アルティン環 / 単純加群 / 標準加群 / フロベニウス射 / Q-ゴーレンシュタイン環 / アーベル圏 / classical generators / maximal minors / Chow環 / Unbounded derived category / Auslander condition / Derived Picard group / Chow group / Hilbert-Kunz function … More
Except Principal Investigator
フロベニウス拡大 / 位相群 / 加群 / 準フロベニウス拡大 / 極大商環 / 線形位相空間 / 標準領域 / 正則写像 / 凸領域 / 距離空間 / symmetric space(シンメトリック空間) / CWー複体 / ノルム空間 / 正則関数 / ボレル / 連続体 / 巾空間 / ベクトル場 / リコールマンの手法 / 環 / 商カテゴリー / FPF環 / tilting complex / アルチン環 / ネーター環 / 全線形環 / カテゴリー / 射影的次元 / 商環 / 斜体 / 環拡大 / 入射的加群 / quashi Frobenius eytension / artinian ring / noetherian ring / maximal quotient ring / module / full linear ring / 導来圏 / 導来同値 / 傾斜鎖複体 / 自己入射的多元環 / アウスランダー公式 / ゴレンシュタインタイル整環 / グロタンディック群 / トーション理論 / 部分的傾斜鎖複体 / ゴレンシュタイン多元環 / Derived Category / Derived Equivalence / Tiltinr Complex / Selfinjective Algebra / Auslander Formula / Gorenstein Tiledorder / Grothendieck Group Less
  • Research Projects

    (13 results)
  • Research Products

    (16 results)
  • Co-Researchers

    (15 People)
  •  Study of subcategories of triangulated categories and derived equivalences of algebrasPrincipal Investigator

    • Principal Investigator
      MIYACHI Jun-ichi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Gakugei University
  •  Study of perfect complexes over algebras and derived equivalencesPrincipal Investigator

    • Principal Investigator
      MIAYCHI Jun-ichi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Gakugei University
  •  Study of Derived Equivalences

    • Principal Investigator
      HOSHINO Mitsuo
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tsukuba
  •  Study of perfect complexes over algebras and their propertiesPrincipal Investigator

    • Principal Investigator
      MIYACHI Jun-ichi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Gakugei University
  •  Study of Derived Categories and Chain complexesPrincipal Investigator

    • Principal Investigator
      MIYAUCHI Jun-ichi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO GAKUGEI UNIVERSITY
  •  Study of Invariant on Derived Categories over AlgebrasPrincipal Investigator

    • Principal Investigator
      MIYACHI Jun-ichi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Gakugei University
  •  Ring extensions and quotient rings

    • Principal Investigator
      YOSHIMI Tokuhiro
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO GAKUGEI UNIVERSITY
  •  Study on Representations of Algebras and Derived CategoriesPrincipal Investigator

    • Principal Investigator
      MIYACHI Jun-ichi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Gakugei University
  •  多元環上の表現の研究Principal Investigator

    • Principal Investigator
      宮地 淳一
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Gakugei University
  •  環と加群の理論

    • Principal Investigator
      徳弘 好
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Gakugei University
  •  連続体及び連続写像の研究

    • Principal Investigator
      細川 洋
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Gakugei University
  •  集合と関数による位相数学の研究

    • Principal Investigator
      田中 祥雄
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Gakugei University
  •  線形位相空間内の標準領域について

    • Principal Investigator
      窪田 佳尚
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Gakugei University

All 2011 2010 2009 2007 2006 Other

All Journal Article Presentation

  • [Journal Article] Recollement of homotopy categories and Cohen-Macaulay modules2011

    • Author(s)
      Jun-ichi Miyachi
    • Journal Title

      Journal of K-Theory

      Volume: 8 Pages: 507-542

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540042
  • [Journal Article] Compact objects in stable module categories2007

    • Author(s)
      Jun-ichi Miyachi
    • Journal Title

      Arch. Math 89

      Pages: 47-51

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540013
  • [Journal Article] The Auslander condition and homological dimension of modules2006

    • Author(s)
      Jun^ichi Miyachi
    • Journal Title

      Bull.Tokyo Gakugei Univ. 58

      Pages: 1-5

    • NAID

      110006414956

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540012
  • [Journal Article] The Auslander condition and homological dimension of modules2006

    • Author(s)
      Jun-ichi Miyachi
    • Journal Title

      Bulletin of Tokyo Gakugei University, Natural Sciences 58

      Pages: 1-5

    • NAID

      110006414956

    • Data Source
      KAKENHI-PROJECT-16540012
  • [Journal Article] Grothendieck groups of unbounded complexes of finitely generated modules2006

    • Author(s)
      J-I.Miyachi
    • Journal Title

      Archiv der Mathematik 86(4)

      Pages: 317-320

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540009
  • [Journal Article] Grothendieck groups of unbounded complexes of finitely generated modules2006

    • Author(s)
      Jun-ihci Miyachi
    • Journal Title

      Arch. Math. 86

      Pages: 317-320

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540012
  • [Journal Article] Grothendieck groups of unbounded complexes of finitely generated modules2006

    • Author(s)
      Jun-ichi Miyachi
    • Journal Title

      Arch.Math. 86

      Pages: 317-320

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540012
  • [Journal Article] The Auslander condition and homological dimension of modules2006

    • Author(s)
      Jun-ihci Miyachi
    • Journal Title

      Bull. Tokyo Gakugei Univ. 58

      Pages: 1-5

    • NAID

      110006414956

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540012
  • [Journal Article] Grothendieck groups of unbounded complexes of finitely generated modules

    • Author(s)
      Jun-ichi Miyachi
    • Journal Title

      Archiv der Mathematik (to appear)

    • Data Source
      KAKENHI-PROJECT-16540012
  • [Presentation] Recollement of homotopy category and Cohen-Macaulay modules2010

    • Author(s)
      Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi
    • Organizer
      XIV International Conference on Representations of Algebras and Workshop (ICRA XIV)
    • Place of Presentation
      National Olympics Memorial Youth Center, Tokyo,Japan
    • Year and Date
      2010-08-12
    • Data Source
      KAKENHI-PROJECT-22540042
  • [Presentation] Subcategories of triangulated categories and localization2010

    • Author(s)
      宮地淳一
    • Organizer
      RIMS研究集会「空間の代数的・幾何的モデルとその周辺」
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2010-06-27
    • Data Source
      KAKENHI-PROJECT-22540042
  • [Presentation] Brown representability and localization of homotopy categories2009

    • Author(s)
      宮地淳一
    • Organizer
      Kyoto RIMS Workshop Algebraic Triangulated Categories and Related Topics
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2009-07-23
    • Data Source
      KAKENHI-PROJECT-19540013
  • [Presentation] Brown representability and localization of homotopy categories2009

    • Author(s)
      Jun-ichi Miyachi
    • Organizer
      Kyoto RIMS Workshop Algebraic Triangulated Categories andRelated Topics
    • Place of Presentation
      京都大学
    • Year and Date
      2009-07-23
    • Data Source
      KAKENHI-PROJECT-19540013
  • [Presentation] Polygons of recollement2009

    • Author(s)
      宮地淳一
    • Organizer
      Kyoto RIMS Workshop Noncommutative Algebraic Geometry and Related Topics
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2009-08-27
    • Data Source
      KAKENHI-PROJECT-19540013
  • [Presentation] Polygons of recollement2009

    • Author(s)
      Jun-ichi Miyachi
    • Organizer
      Kyoto RIMS workshop Noncommutative Algebraic Geometry and Related Topics
    • Place of Presentation
      京都大学
    • Year and Date
      2009-08-27
    • Data Source
      KAKENHI-PROJECT-19540013
  • [Presentation] Recollement of homotopy categories and stable categories2007

    • Author(s)
      Jun-ichi Miyachi
    • Organizer
      ホモトピー論シンポジウム
    • Place of Presentation
      金沢市観光会館
    • Year and Date
      2007-11-14
    • Data Source
      KAKENHI-PROJECT-19540013
  • 1.  TOKUHIRO Yoshimi (00014811)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  KURANO Kazuhiko (90205188)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  TANAKA Yoshio (90014810)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  SEKIZAWA Masami (80014835)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  MASAIKE Kanzo (40015798)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  竹内 伸子 (70216852)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  IKEDA Yoshito (70014834)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  KURANO Kazuhiko (90205122)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  窪田 佳尚 (30014715)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  HOSHINO Mitsuo (90181495)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  山田 陽 (60126331)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  細川 洋 (50015575)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  溝口 紀子 (00251570)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  廣川 真男 (70282788)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  FUJITA Hisaaki (60143161)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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