We prove that a certain eventually homological isomorphism between module categories
induces triangle equivalences between their singularity categories, Gorenstein defect …

We show that finitely generated cohomology is invariant under separable equivalences for
all algebras. As a result, we obtain a proof of the finite generation of cohomology for finite …

Let $ B\subseteq A $ be an extension of finite dimensional algebras. We provide a sufficient
condition for the existence of triangle equivalences of singularity categories (resp …

Abstract Let Λ= A 0 MB be an Artin algebra and BMA a BA-bimodule. We prove that there is
a triangle equivalence D sg (Λ)≅ D sg (A)∐ D sg (B) between the corresponding singularity …