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Singular equivalences induced by homological epimorphisms

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.

preprint2011arXivOpen access
Xiao-Wu Chen
math.RTmath.RA
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Xiao-Wu Chen

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