On singular equivalences of Morita type

DOI10.1016/j.jalgebra.2013.03.019zbMath1291.18018arXiv1301.5168OpenAlexW2963420645MaRDI QIDQ2438452

Alexander Zimmermann, Guodong Zhou

Publication date: 4 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5168

zbMATH Keywords

Hochschild homologysingularity categoriessingular equivalences of Morita type

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Localization of categories, calculus of fractions (18E35)

Related Items (22)

Triangle order \(\leq_\Delta\) in singular categories. ⋮ Frobenius functors and Gorenstein homological properties ⋮ Singular equivalences of Morita type with level, Gorenstein algebras, and universal deformation rings ⋮ Separable equivalences, finitely generated cohomology and finite tensor categories ⋮ Singular equivalences and Auslander-Reiten conjecture ⋮ On deformations of Gorenstein-projective modules over Nakayama and triangular matrix algebras ⋮ Singular equivalences induced by bimodules and quadratic monomial algebras ⋮ Singular equivalences of commutative Noetherian rings and reconstruction of singular loci ⋮ A note on deformations of Gorenstein-projective modules over finite dimensional algebras ⋮ Relative singularity categories and singular equivalences ⋮ On singular equivalences of Morita type with level and Gorenstein algebras ⋮ Singularity categories and singular equivalences for resolving subcategories ⋮ Support variety theory is invariant under singular equivalences of Morita type ⋮ Gorenstein singularity categories ⋮ Singular equivalences of functor categories via Auslander-Buchweitz approximations ⋮ Different exact structures on the monomorphism categories ⋮ Singular equivalence and the (Fg) condition ⋮ Singular equivalence of Morita type with level. ⋮ Universal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional algebras ⋮ Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements ⋮ Frobenius functors, stable equivalences and \(K\)-theory of Gorenstein projective modules ⋮ Reduction techniques of singular equivalences

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