On stable equivalences induced by exact functors

DOI10.1090/S0002-9939-05-08157-8zbMath1122.16012OpenAlexW1577258089MaRDI QIDQ3375412

Yuming Liu

Publication date: 8 March 2006

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08157-8

zbMATH Keywords

Morita equivalencesfinite-dimensional algebrasderived equivalencesAuslander-Reiten quiversindecomposable modulesfinite representation typealmost split sequencesArtin algebrasstable equivalences of Morita typeexact functorsself-injective algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10)

Related Items (4)

Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture. ⋮ Summands of Stable Equivalences of Morita Type ⋮ Transfer maps in Hochschild (co)homology and applications to stable and derived invariants and to the Auslander–Reiten conjecture ⋮ Relative singularity categories and singular equivalences

Cites Work

• Representation dimension and quasi-hereditary algebras.
• Representation type and stable equivalence of Morita type for finite-dimensional algebras
• Equivalences of derived categories for symmetric algebras.
• On the finitistic dimension conjecture. I: Related to representation-finite algebras.
• Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
• Constructions of stable equivalences of Morita type for finite dimensional algebras. II.
• Morita Theory for Derived Categories
• Derived Equivalences As Derived Functors
• On stable equivalences of Morita type for finite dimensional algebras
• Invariance of Hochschild cohomology algebras under stable equivalences of Morita type.
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