Derived equivalences and Gorenstein algebras |
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Authors: | Hiroki Abe Mitsuo Hoshino |
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Institution: | Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571, Japan |
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Abstract: | We introduce a notion of Gorenstein R-algebras over a commutative Gorenstein ring R. Then we provide a necessary and sufficient condition for a tilting complex over a Gorenstein R-algebra A to have a Gorenstein R-algebra B as the endomorphism algebra and a construction of such a tilting complex. Furthermore, we provide an example of a tilting complex over a Gorenstein R-algebra A whose endomorphism algebra is not a Gorenstein R-algebra. |
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Keywords: | Primary 18E30 16G30 secondary 16E05 |
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