Singular equivalences induced by homological epimorphisms

Chen, Xiao-Wu

doi:10.1090/S0002-9939-2014-12038-7

Singular equivalences induced by homological epimorphisms
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Proc. Amer. Math. Soc. 142 (2014), 2633-2640 Request permission

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.

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