KOBAYASHI Sigeru 小林滋

Researcher Number	10195779
External Links
Affiliation (based on the past Project Information) *help	1991 – 2005: 鳴門教育大学, 学校教育学部, 助教授
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / 代数学・幾何学 / Science education / Geometry / Geometry / 解析学
Keywords	Principal Investigator Weyl algebras / Valuation ring / Inverse semigroups / Torsion theory / Groebner basis / Local cohomology / Automaton / stability theory / 連分数展開 / 述語論理 … More / モデル理論 / 局所コホモロジー群 / ワイル代数 / 附置環 / トーション理論 / グレブナー基底 / 局所コホモロジー / 逆半群 / 有理半群 / automaton / 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 / Growth / オートマトン / 組みひも / 力学系 / 代数多様体 / 代数系 / 数論 … More Except Principal Investigator Prime ideal / Primary ideal / Prufer / 整環 / Ore extension / Crossed product algebra / Invariant valuation / Total valuation / Valuation ring / prime ideal / total valuation / Overrings / Gabriel topologies / Skew group rings / primary ideals / Valuation rings / Krull / 極大整環 / Core Curriculum of Mathematics / Core Curriculum / University of Education / 数学科 / 数学科カリキュラム / コア・カリキュラム / 教員養成系大学 / braid / linking number / parametrized fixed point theory / branch / family of continuous maps / bifurcation of fixed points / 位相的指数 / 分岐 / 周期点 / 不動点 / 組みひも / 絡み数 / 助変数付き不動点理論 / 分枝 / 連続写像族 / 不動点の分岐 / Martindal quotient ring / duo rings / total付値環 / 単純環 / over rings / 歪多項式環 / semi-hereditary / division ring / derivation / primary ideal / valuation ring / Tamely ramified / Crossed product / Martindale quotient rings / Ore extensions / Primaty ideal / Martindale quotient ring / Semihereditary / Primary ideals / Prime ideals / Simple Artinian / Primary / Semi-hereditany / Skew Group Ring / Quantum type algebra / 非可換付値環 / Skew group ring / Quantum type algebras / divisorial ideals / Generalized Dedekind / crossed product algebray / Prufer rings / Skew growp rings / Jacobson radical / principal ideal rings / skew polymomial / localization / cycles / Semi-hereditary / prime ideals / Dedekind / 準素イデアル / イデアル / 代数 / S^1-4-多様体 / ループ空間 / ホモロジー群 / 位相安定性 / moduli / end-periodic / インスタントン / 周期的 / 非線形固有値問題 / 凸解析 / 平均曲率 / 変分原理 / 非線形楕円型方程式 / 等質空間 / 安定ホモトピー群 / 同境類 / 枠付け可能多様体 / 遺伝的整環 / 射影的加群 / 商環 / 中等イデアル / 次元 / 局所化 / 素イデアル Less

The study of the structure of Ore extension and its applicationPrincipal Investigator
- 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
The Development of Teacher Training Core Curriculum of Mathematics in University of Education
- Principal Investigator
  
  SAITO Noboru
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  Naruto University of Education
Applications of fixed point theory to bifurcation problems
- Principal Investigator
  
  MATSUOKA Takashi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Naruto University of Education
Synthetic Study of Prufer Orders and Semi-hereditary Orders
- Principal Investigator
  
  MARUBAYASHI Hidetoshi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Naruto University of Education
Research of automatic structure which appear in algebrasPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Shigeru
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Naruto University of Education
Non-commutative Valuation Rings and Applications to their Global Theories Quantum Groups
- Principal Investigator
  
  MARUBAYASHI Hidetoshi
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Naruto University of Education
代数系及び数論に現れるGrowthの構造Principal Investigator
- Principal Investigator
  
  小林滋
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Naruto University of Education
乗法的イデアル論の総合的研究
- Principal Investigator
  
  丸林英俊
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Naruto University of Education
自己双対接続のモジュライ空間についての位相的安定性とその応用
- Principal Investigator
  
  松永弘道
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Naruto University of Education
変分原理による非線形楕円型方程式の研究
- Principal Investigator
  
  成川公昭
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Naruto University of Education
兀多様体のホモトピー類
- Principal Investigator
  
  松岡隆
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Naruto University of Education
整環の研究
- Principal Investigator
  
  MARUBAYASHI Hidetoshi
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Naruto University of Education

All 2006 2005 2004 2003 2002 Other

All Journal Article

[Journal Article] Example od non-commutative v-Bezout domain2006
- Author(s)
  S.Kobayashi, H.Marubayashi, S.Irawate
- Journal Title
  
  Journal of Algebra and Number theory and applications (To appear)
- Data Source
  KAKENHI-PROJECT-17540031
[Journal Article] Noncommutative valuation rings of the quaotient artinian ring of a skew polynomial rings2005
- Author(s)
  G.Xie, S.Kobayashi, H.Marubayashi, N.Popescu, C.Vraciu
- Journal Title
  
  Algebras and Representation theory Vol.8
  
  Pages: 57-68
- Data Source
  KAKENHI-PROJECT-17540031
[Journal Article] Non-commutative valuation rings in Ore extensions2005
- Author(s)
  S.Kobayashi, H.Marubayashi, G.Xie
- Journal Title
  
  Trend in theory of rings and modules Vol.1
  
  Pages: 67-83
- Data Source
  KAKENHI-PROJECT-17540031
[Journal Article] On R-ideals of a Dubrovin valuation ring R2004
- Author(s)
  S.Irawati, S.Kobayashi, H.Marubayashi, G.Xie
- Journal Title
  
  Communications in Algebra 32-1
  
  Pages: 261-267
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640030
[Journal Article] A characterization of fully bounded Dubrovin valuation rings2004
- Author(s)
  S.Irawati, S.Kobayashi, H.Marubayashi, G.Xie
- Journal Title
  
  Scientiae Math.Japonicae 60-1
  
  Pages: 9-14
- NAID
  10014188976
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640030
[Journal Article] Non-commutative valuation rings of K(X;σ,δ) over a division ring K2004
- Author(s)
  S.Kobayashi, H.Komatsu, H.Marubayashi, G.Xie
- Journal Title
  
  Journal of Japan Math.Soc. 56-3
  
  Pages: 737-752
- NAID
  10013358908
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640030
[Journal Article] Total valuation rings of Ore extensions2003
- Author(s)
  S.Kobayashi, H.Marubayashi, N.Popescu, C.Vraciu, G.Xie
- Journal Title
  
  Results in Math. 43
  
  Pages: 373-379
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640030
[Journal Article] Total valuation rings of K(X,σ) containing K2002
- Author(s)
  S.Kobayashi, H.Marubayashi, N.Popescu, C.Vraciu
- Journal Title
  
  Communications in Algebra 30-11
  
  Pages: 5535-5546
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640030
[Journal Article] Non-commutative valuation rings of the quotient Artinian ring of a skew polynomial ring
- Author(s)
  S.Kobayashi, H.Marubayashi, N.Popescu, C.Vraciu, G.Xie
- Journal Title
  
  Algebras and Representation Theory (To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640030

1. MARUBAYASHI Hidetoshi (00034702)

# of Collaborated Projects: 12 results

# of Collaborated Products: 9 results
2. MATSUOKA Takashi (50127297)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
3. NARUKAWA Kimiaki (60116639)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. 村田博 (20033897)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. YUTANI Hiroshi (80200872)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. UEDA Akira (70213345)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. SAWABE Masato (60346624)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. MIYAMOTO Haruo (50035656)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 堀内清光 (90211549)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 松永弘道 (30032634)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. ISHIKAWA Tsuneo (40268230)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. HAYAKAWA Eijirou (50240776)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. SAITO Noboru (60221256)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. HATTORI Katsunori (10284332)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 南春男 (90047233)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 田中昭太郎 (10179757)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 細川尋史 (30231575)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 高山茂晴 (20284333)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 平野康之 (90144732)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 鳥巣伊知郎 (50323134)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KOBAYASHI Sigeru 小林 滋

Research Projects

Research Products

Co-Researchers

The study of the structure of Ore extension and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

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Research of automatic structure which appear in algebrasPrincipal Investigator

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Principal Investigator

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代数系及び数論に現れるGrowthの構造Principal Investigator

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Research Field

Research Institution

Principal Investigator

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Principal Investigator

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[Journal Article] Example od non-commutative v-Bezout domain2006

Author(s)

Journal Title

Data Source

[Journal Article] Noncommutative valuation rings of the quaotient artinian ring of a skew polynomial rings2005

Author(s)

Journal Title

Data Source

[Journal Article] Non-commutative valuation rings in Ore extensions2005

Author(s)

Journal Title

Data Source

[Journal Article] On R-ideals of a Dubrovin valuation ring R2004

KOBAYASHI Sigeru 小林滋