Derived equivalences between subrings
Representation Theory
2012-04-10 v1 Category Theory
Rings and Algebras
Abstract
In this paper, we construct derived equivalences between two subrings of relevant -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.
Keywords
Cite
@article{arxiv.1204.1693,
title = {Derived equivalences between subrings},
author = {Yiping Chen},
journal= {arXiv preprint arXiv:1204.1693},
year = {2012}
}