Singular equivalences induced by homological epimorphisms

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.

References in corpus (1)

• Category equivalences involving graded modules over path algebras of quivers

Cited by in corpus (2)

• Retractions and Gorenstein homological properties
• Singular equivalences of trivial extensions