Singular equivalences induced by homological epimorphisms

DOI10.1090/S0002-9939-2014-12038-7zbMath1309.18010arXiv1107.5922MaRDI QIDQ3189569

Xiao-Wu Chen

Publication date: 12 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5922

zbMATH Keywords

finite dimensional algebrassingularity categorysingular equivalencetriangle equivalencenon-Gorenstein algebras

Mathematics Subject Classification ID

Commutative Artinian rings and modules, finite-dimensional algebras (13E10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (17)

Characterization of eventually periodic modules in the singularity categories ⋮ Change of rings and singularity categories ⋮ Singular equivalences of Morita type with level, Gorenstein algebras, and universal deformation rings ⋮ Eventually homological isomorphisms in recollements of derived categories ⋮ Triangle equivalences of Gorenstein defect categories induced by homological epimorphisms ⋮ Singular equivalences and Auslander-Reiten conjecture ⋮ On singular equivalences of Morita type with level and Gorenstein algebras ⋮ Singularity categories of some 2-CY-tilted algebras ⋮ Singular equivalence and the (Fg) condition ⋮ A note on singular equivalences ⋮ Retractions and Gorenstein homological properties. ⋮ Singular Equivalences of Trivial Extensions ⋮ \(G\)-invariant recollements and skew group algebras ⋮ Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements ⋮ When the Schur functor induces a triangle-equivalence between Gorenstein defect categories ⋮ Reduction techniques of singular equivalences ⋮ The singularity categories of the cluster-tilted algebras of Dynkin type.

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