Singular equivalences induced by homological epimorphisms
Rings and Algebras
2015-02-10 v1 Representation Theory
Abstract
We prove that a certain homological epimorphism between two algebras induces a triangle equivalence between their singularity categories. Applying the result to a construction of matrix algebras, we describe the singularity categories of some non-Gorenstein algebras.
Cite
@article{arxiv.1107.5922,
title = {Singular equivalences induced by homological epimorphisms},
author = {Xiao-Wu Chen},
journal= {arXiv preprint arXiv:1107.5922},
year = {2015}
}