2010 Fiscal Year Final Research Report
Study on the structures of local cohomology modules
| Project/Area Number |
20540043
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Nara University of Education |
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Principal Investigator |
KAWASAKI Ken-ichiroh Nara University of Education, 教育学部, 准教授 (60288040)
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| Co-Investigator(Renkei-kenkyūsha) |
ETO Kazufumi 日本工業大学, 工学部, 准教授 (30271357)
KAWAKAMI Satoshi 奈良教育大学, 教育学部, 教授 (20161284)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 環論 |
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| Research Abstract |
The main researcher supported by the grant proved the following result : if an ideal I of a noetherian local ring A has dimension one, then M (A, I) cofis Abelian, where M (A, I) cof is the subcategory consisting of I-cofinite modules in the category M (A) of all A-modules.
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Research Products
(36 results)
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[Journal Article] On a category of cofinite modules2010
Author(s)
川崎謙一郎
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Journal Title
Abstracts of "the Third International Meeting on Integer Valued Polynomials and Problems in Commutative Algebra" at the 'Centre International de Rencontres Mathematiques (CIRM)', from the 29-th of November to the 3-rd of December in 2010, Marseille in France(仏国)
Pages: 28
URL
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[Presentation] On a characterization of cofinite complexes2010
Author(s)
川崎謙一郎
Organizer
The 6th Japan-Vietnam Joint Seminar on Commutative Algebra-第32回可換環論シンポジュウム,The 32nd Symposium on Commutative algebra in Japan(Ken-ichiroh Kawasaki)(Nara University of Education)
Place of Presentation
生産性国際交流センター(〒240-0115神奈川県三浦郡葉山町湘南国際村),神奈川県三浦郡葉山町
Year and Date
20101211-20101216
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[Presentation] On a category of cofinite modules2010
Author(s)
川崎謙一郎
Organizer
the Third International Meeting on Integer Valued Polynomials and Problems in Commutative Algebra' at the Centre International de Rencontres Mathematiques (CIRM)(Ken-ichiroh Kawasaki)(Nara University of Education)
Place of Presentation
at Marseille in France.仏国.
Year and Date
20101129-20101203
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[Presentation] 局所コホモロジー加群/余有限加群やアーベル圏に関する最近の話題2010
Author(s)
川崎謙一郎
Organizer
Workshop on Commutative Algebra 2010 in Nara University of Education (Ken-ichiroh Kawasaki)(NaraUniversity of Education)
Place of Presentation
奈良教育大学新館2号棟2FR5-212教室,奈良県奈良市
Year and Date
2010-08-20
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[Presentation] 三角圏と導来圏2008
Author(s)
川崎謙一郎
Organizer
局所コホモロジー加群とその周辺(高橋一嘉氏との共同発表)
Place of Presentation
日本女子大学(大学院講義室1(8/1,2,4),百年館702教室(8/3)),東京都文京区
Year and Date
20080801-20080804
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