Abstract

Eventually homological isomorphisms are introduced between derived categories of algebras, and these lead to a special recollement situation, that is, (DB,DA,DC) with the functor j⁎:DA→DC being an eventually homological isomorphism. This recollement turns out to be a very good context to compare the algebras A and C with respect to Gorensteinness, singularity categories and the finite generation condition Fg for the Hochschild cohomology. The results are applied to stratifying ideals, triangular matrix algebras and derived discrete algebras.

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