English

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 Φ\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.

Keywords

Cite

@article{arxiv.1204.1693,
  title  = {Derived equivalences between subrings},
  author = {Yiping Chen},
  journal= {arXiv preprint arXiv:1204.1693},
  year   = {2012}
}
R2 v1 2026-06-21T20:46:11.989Z