2009 Fiscal Year Final Research Report
Study of perfect complexes over algebras and derived equivalences
| Project/Area Number |
19540013
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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 | Tokyo Gakugei University |
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Principal Investigator |
MIAYCHI Jun-ichi Tokyo Gakugei University, 教育学部, 教授 (50209920)
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| Co-Investigator(Renkei-kenkyūsha) |
KURANO Kazuhiko 明治大学, 理工学部, 教授 (90205188)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 環論 / 導来圏 |
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| Research Abstract |
We show that any module is compact if and only if finitely generated in the stable module category over a perfect ring, and that there is results which is similar to ones in Morita theory. We introduce the new structure for n subcategories of a triangulated category that there are consecutive and recursive stable t-structures, and that this notion is equivalent to the one of consecutive and recursive recollements of a triangulated category.
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Research Products
(6 results)
