Derived equivalences between subrings

Details Derived equivalences between subrings Derived equivalences between subrings

2012-04-08

arxiv.org/abs/1204.1693v1

Mathematics

Representation Theory

Scientific paper

In this paper, we construct derived equivalences between two subrings of relevant $\Phi$-Auslander-Yoneda rings from an arbitrary short exact sequence in an abelian category. As a consequence, any short exact sequence in an abelian category gives rise to a derived equivalence between two subrings of endomorphism rings. These results generalize some methods on constructing derived equivalences.

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