Constructions of stable equivalences of Morita type for finite-dimensional algebras III

DOI10.1112/jlms/jdm065zbMath1181.16012OpenAlexW2032365680MaRDI QIDQ5436508

Changchang Xi, Yuming Liu

Publication date: 16 January 2008

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

Full work available at URL: https://doi.org/10.1112/jlms/jdm065

zbMATH Keywords

Morita equivalencesfinite-dimensional algebrasderived equivalencesgeneratorsendomorphism algebrasstable equivalences of Morita typeadjoint pairs of functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Projectives and injectives (category-theoretic aspects) (18G05)

Related Items (20)

Frobenius bimodules and flat-dominant dimensions ⋮ Frobenius functors and Gorenstein homological properties ⋮ Stable equivalences of Morita type for Φ‐Beilinson–Green algebras ⋮ Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture. ⋮ Inductions and restrictions for stable equivalences of Morita type ⋮ Stable equivalences of Morita type do not preserve tensor products and trivial extensions of algebras ⋮ Derived equivalences for Cohen-Macaulay Auslander algebras. ⋮ On the finitistic dimension conjecture. III: Related to the pair \(eAe\subseteq A\). ⋮ Gluing of idempotents, radical embeddings and two classes of stable equivalences. ⋮ Relative singularity categories and singular equivalences ⋮ On Iterated Almost ν-Stable Derived Equivalences ⋮ On singular equivalences of Morita type with level and Gorenstein algebras ⋮ Support variety theory is invariant under singular equivalences of Morita type ⋮ \(\mathcal D\)-split sequences and derived equivalences. ⋮ Simple-minded systems, configurations and mutations for representation-finite self-injective algebras ⋮ Singular equivalence and the (Fg) condition ⋮ Rigidity dimension of algebras ⋮ Derived equivalences and stable equivalences of Morita type, I ⋮ Universal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional algebras ⋮ Frobenius functors, stable equivalences and \(K\)-theory of Gorenstein projective modules

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