Singular equivalences induced by homological epimorphisms

Details Singular equivalences induced by homological epimorphisms Singular equivalences induced by homological epimorphisms

2011-07-29

arxiv.org/abs/1107.5922v1

Mathematics

Rings and Algebras

Scientific paper

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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