HIRANO Yasuyuki 平野康之

Researcher Number	90144732
Other IDs
Affiliation (based on the past Project Information) *help	2007 – 2008: 鳴門教育大学, 学校教育学部, 教授 2006: Naruto University of Education, Natural Science Faculty, Professor, 教育学部, 教授 2005: 岡山大学, 大学院自然科学研究科, 助教授 2005: 岡山大学, 自然科学研究科, 助教授 1988 – 2004: 岡山大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator Algebra / 代数学・幾何学 / Algebra Except Principal Investigator Algebra / Algebra / 代数学・幾何学 / 解析学 / Geometry
Keywords	Principal Investigator イデアル / 多項式環 / 導分 / 単純加群 / 正則環 / 微分作用素 / 加群 / 環 / 半群環 / 順序半群 … More / 自己同型 / 入射加群 / 歪多項式環 / 素イデアル / 平坦 / 有限環 / 多項式関係 / socle / completely reducible / derivation / module of finite length / simple module / cyclic module / ideal / Noetherian ring / ガロア拡大 / 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 / 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 / Higher Derivation / Azumaya Algebra / Crossed Product / 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 / 高次微分 / 東屋多元環 / 接合積 / 歪微分作用素環 / 微分作用素環 / 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 / 素根基 / 微分加郡 / 自己準同型環 / 半素環 / 微分加群 / 剰余環 / 完全環 / 極大部分加群 / フロベニウス環 / 自己移入環 / 環拡大 / 剰余有限環 / 根基 / 自己入射的 / 局所有限環 / 周期環 / 強正則環 / 強π正則環 … More Except Principal Investigator ADE decomposable group / Minimal direct summand / Quasi-pure hull / Quasi-purifiable subgroup / T-high subgroup / Torsion-complete group / Symmetric groups / Schur functions / アフィンリー環 / 対称群 / シューア函数 / Gorenstein ring / Cohen-Macaulay / Auslander-Reiten quiver / 退化 / Cohen-Macaulay加群 / 加群 / ガロア拡大 / 可換環 / 有限体 / 環のガロア拡大 / 環の分離拡大 / 環拡大 / MDS符号 / Affine Lie algebras / リリトン方程式 / Mixed basic subgroup / Purifiable subgroup / 可除群 / タイプ / ウルム・カプランスキー・インバリアント / 高度行列 / トーションフリーランク / T高部分群 / トーションフリー部分群 / 最大トーション部分群 / Mixed basic subgroups / Miniml direct summand / Quasi-pure-hull / Pure hulls / Mixed baic subgroup / Purifiable Subgroup / affine Lie algebras / ヒェルルヒー / deformation and degeneration / Cohen-Macaulay modules / commutative rings / G次元 / 導来圏 / Gorenstein次元 / 直既約加群 / 変形と退化 / 可換環論 / tiled order / Aritinian ring / Broue conjecture / Hecke algebra / Cohen-Macaulay module / linkage / アルティン多元環 / フロベニウス多元環 / 群多元環 / ベーア環 / アルテイン多元環 / 整環 / フロべニウス多元環 / クイバー / ゴレンシュテイン次元 / ネータ多元環 / ヘッケ環 / ガロア被覆 / タイル整環 / アルチン環 / ブルエ予想 / Hecke環 / コーエンマコーレー加群 / リンケージ / ゴレンシュテイン環 / representation type / degeneration / Cohen-Macaulay ring / module / local ring / Gorenstein環 / 表現型 / 局所環 / higher derivation / Jordan derivation / generalized derivation / derivation / Galois extension / 歪多項式環 / ワイル代数 / 接合積 / 余加群多元環 / 一般化微分 / 関手 / 微分加群 / 高次微分 / ジョルダン微分 / 微分 / ホップ代数 / ガロア多元環 / 分離多項式 / 原始元 / 分離拡大 / ヒルベルト変換 / フーリエ変換 / タウバー型定理 / 調和解析 / 密度 / Benfordの規則 / 指数和 / compatible / V^<(1)> / invariant valuation ring / localization / total valuation ring / prime ideal / grade ring / partial skew / semisimple / Guass extension / crossed product / prime / ideal / graded ring / total valuation / Gauss extension / polynomial / Ore / 環論 / 位相構造 / 曲率 / 測地線 / リーマン多様体 / 非可換環 / ガロアの基本定理 / ガロア群 / ガロア理論 / 線形符号 / 有限剰余環 / 正則環 / 符号理論 / 有限幾何 / ア-ク / 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

The study of the structure of Ore extension and its application
- Principal Investigator
  
  MARUBAYASHI Hidetoshi, 小林滋
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokushima Bunri University
  Naruto University of Education
Combinatorics and Representation Theory of Nonlinear Differential Equations
- Principal Investigator
  
  YAMADA Hiro-fumi
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
Study of moduli of indecomposable modules and degeneration of modules
- Principal Investigator
  
  YOSHINO Yuji
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  OKAYAMA UNIVERSITY
Combinatorial Representation Theory which Center of Schur Functions
- Principal Investigator
  
  YAMADA Hirofumi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  OKAYAMA UNIVERSITY
Modules over Noethrian rings and Abelian GroupsPrincipal Investigator
- 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
ABELIAN GROUPS OF TORSION-FREE RANK 1
- Principal Investigator
  
  OKUYAMA Takashi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  OITA UNIVERSITY
  Toba National College of Maritime Technology
Structure theory and rerpresentation theory of noncommutative rings
- Principal Investigator
  
  NISHIDA Kenji
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
New development of ring theory from the view point of representation theory and its application
- Principal Investigator
  
  YOSHINO Yuji
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  OKAYAMA UNIVERSITY
Polynomial Rings and Totally Ordered Monoid RingsPrincipal Investigator
- 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
Structure of Rings of Differential Operators and Poisson AlgebrasPrincipal Investigator
- 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 RingsPrincipal Investigator
- 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
自己移入環と正則環Principal Investigator
- Principal Investigator
  
  平野康之
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
幾何構造と位相構造
- Principal Investigator
  
  酒井隆
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- 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
環拡大と環のガロア理論
- Principal Investigator
  
  永原賢
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
環の構造と表現Principal Investigator
- Principal Investigator
  
  平野康之
- 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
環と加群の構造Principal Investigator
- Principal Investigator
  
  平野康之
- 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
符号理論と代数幾何
- Principal Investigator
  
  兼田均
- 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
多項式環と分離拡大
- Principal Investigator
  
  永原賢
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Okayama University
指数和の評価とその応用
- Principal Investigator
  
  鹿野健
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Okayama University

All 2009 2005 2004 Other

All Journal Article

[Journal Article] Partial skew polynomial rings over semisimple Artinainring2009
- Author(s)
  W. Cortes, M. Ferrero, Y. Hirano, H. Marubayashi
- Journal Title
  
  Communications in Algebra (2009年に開催予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540031
[Journal Article] On a theorem of Ayad and Ryckelynck2005
- Author(s)
  Y.Hirano
- Journal Title
  
  Comm.In Algebra (in Press)
- Data Source
  KAKENHI-PROJECT-14340007
[Journal Article] On a theorem of Ayad and Ryckelynck2005
- Author(s)
  Y.Hirano
- Journal Title
  
  Communications in Algebra 33
  
  Pages: 897-898
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] On a theorem of Ayad and Ryckelynck2005
- Author(s)
  Yasuyuki Hirano
- Journal Title
  
  Communications in Algebra 33
  
  Pages: 897-898
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] Ion rings all of whose modules of finite length are cyclic2004
- Author(s)
  Y.Hirano
- Journal Title
  
  Bull.Australian M.S. 69
  
  Pages: 137-140
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340007
[Journal Article] On rings all of whose modules of finite length are cyclic2004
- Author(s)
  Y.Hirano
- Journal Title
  
  Bulletin of Australian Mathematical Society 69
  
  Pages: 137-140
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] On rings all of whose modules of finite length are cyclic2004
- Author(s)
  Y Hirano
- Journal Title
  
  Bull.Australian M.S. 69
  
  Pages: 137-140
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340007
[Journal Article] On rings all of whose modules of finite length are cyclic2004
- Author(s)
  Yasuyuki Hirano
- Journal Title
  
  Bulletin of Australian Mathematical Society 69
  
  Pages: 137-140
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] On rings all of whose modules of finite length are cyclic2004
- Author(s)
  Y.Hirano
- Journal Title
  
  Bull.Australian M.S. 69
  
  Pages: 137-140
- Data Source
  KAKENHI-PROJECT-14340007
[Journal Article] Countable rings with acc on annihilators
- Author(s)
  Y.Hirano, H.K.Kim
- Journal Title
  
  Bulletin of Korean Mathematical Society
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] A generalization of semisimple Artinian rings
- Author(s)
  Y.Hirano, H.Tsutsui
- Journal Title
  
  Journal of Algebra and Its Applications
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] A generalization of semisimple Artinian rings
- Author(s)
  Yasuyuki Hirano
- Journal Title
  
  Journal of Algebra and Its Applications (発表予定)
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] Rings whose simple modules have some properties
- Author(s)
  Y.Hirano
- Journal Title
  
  The proceedings of the fourth China-Japan-Korea International Symposium on Ring Theory (World Scientific)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] Rings whose simple modules have some properties
- Author(s)
  Yasuyuki Hirano
- Journal Title
  
  The proceedings of the fourth China-Japan-Korea International Symposium on Ring Theory(Edited by J.Chen, N.Ding and H.Marubayashi)(World Scientific) (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] A generalization of semisimple Artinian rings
- Author(s)
  Yasuyuki Hirano, Hisaya Tsutsui
- Journal Title
  
  Journal of Algebra and Its Applications (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] Countable rings with acc on annihilators
- Author(s)
  Yasuyuki Hirano, Hong Kee Kim
- Journal Title
  
  Bulletin of Korean Mathematical Society (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] On a finitely generated P-injective left ideal
- Author(s)
  Yasuyuki Hirano
- Journal Title
  
  International Symposium on Ring Theory (World Scientific) (発表予定)
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] Rings whose simple modules have some properties
- Author(s)
  Yasuyuki Hirano
- Journal Title
  
  International Symposium on Ring Theory (World Scientific) (発表予定)
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] Partial skew polynomial rings over semisimple Artinain rings
- Author(s)
  W.Cortes, M.Ferrero, Y.Hirano, H.Marubayashi
- Journal Title
  
  Comm. in Algebra (to appear)
  
  Pages: 0-0
- Data Source
  KAKENHI-PROJECT-17540031
[Journal Article] On a finitely generated P-injective left Ideal
- Author(s)
  Yasuyuki Hirano, Jin Yong Kim
- Journal Title
  
  The proceedings of the fourth China-Japan-Korea International Symposium on Ring Theory(Edited by J.Chen, N.Ding and H.Marubayashi)(World Scientific) (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540031
[Journal Article] On a finitely generated P-injective left ideal
- Author(s)
  Y.Hirano, J.Y.Kim
- Journal Title
  
  The proceedings of the fourth China-Japan-Korea International Symposium on Ring Theory (World Scientific)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540031

1. 兼田均 (10093014)

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2. IKEHATA Shuichi (20116429)

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3. SATO Ryotaro (50077913)

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4. 永原賢 (70032802)

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5. NAKAJIMA Atsushi (30032824)

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6. YAMADA Hiro-fumi (40192794)

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7. KOMATSU Hiroaki (10178361)

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8. TASAKA Takashi (60012407)

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9. YOSHINO Yuji (00135302)

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10. NAKAMURA Hiroaki (60217883)

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11. 酒井隆 (70005809)

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12. 富永久雄 (70032787)

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13. 三村護 (70026772)

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14. MARUBAYASHI Hidetoshi (00034702)

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15. YAMAGATA Kunio (60015849)

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16. MIYAZAKI Mitsuhiro (90219767)

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17. TANAKA Katsumi (60207082)

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18. IKEDA Takeshi (40309539)

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19. OKUYAMA Takashi (20177190)

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20. 鹿野健 (90020669)

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21. AIKAWA Tetsuya (40032817)

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22. ISHIKAWA Hirofumi (00108101)

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23. KAJIWARA Tsuyoshi (50169447)

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24. ISHIKAWA Yoshihiro (50294400)

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25. NISHIDA Kenji (70125392)

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26. IWANAGA Yasuo (80015825)

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27. NINOMIYA Yasushi (40092887)

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28. KOSHITANI Shigeo (30125926)

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29. DOI Yukiko (50015765)

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30. CHIBA Katsuo (60141933)

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31. TANAKA Yasuhiko (70244150)

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32. 野田隆三郎 (70029726)

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33. 吉岡巌 (70033199)

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34. 藤井道一 (90033141)

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45. 名城紘昭 (40043252)

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HIRANO Yasuyuki 平野 康之

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Modules over Noethrian rings and Abelian GroupsPrincipal Investigator

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Polynomial Rings and Totally Ordered Monoid RingsPrincipal Investigator

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Structure of Rings of Differential Operators and Poisson AlgebrasPrincipal Investigator

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Skew Polynomial Rings and Regular RingsPrincipal Investigator

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自己移入環と正則環Principal Investigator

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Principal Investigator

HIRANO Yasuyuki 平野康之