Derived equivalences and Gorenstein dimension
| Project/Area Number |
26887034
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Tokyo Denki University |
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Principal Investigator |
KOGA Hirotaka 東京電機大学, 情報環境学部, 助教 (30736723)
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| Project Period (FY) |
2014-08-29 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 多元環の表現論 / 導来同値 / ゴレンシュタイン次元 / アーベル圏 / 代数学 |
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| Outline of Final Research Achievements |
We introduce the notion of complexes of finite Gorenstein projective dimension and show that a derived equivalence induces an equivalence between the full triangulated subcategories consisting of complexes of finite Gorenstein projective dimension
provided that the equivalence satisfies a certain condition.
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Report
(3 results)
Research Products
(15 results)
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[Presentation] Clifford extensions2015
Author(s)
Mitsuo HOSHINO, Noritsugu KAMEYAMA and Hirotaka KOGA
Organizer
THE SEVENTH CHINA-JAPAN-KOREA INTERNATIONAL SYMPOSIUM ON RING THEORY
Place of Presentation
Zhejiang University of Technology and Zhejiang University(China)
Year and Date
2015-07-02
Related Report
Int'l Joint Research
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