Stable equivalences of adjoint type

DOI10.1515/FORUM.2008.004zbMath1184.16014MaRDI QIDQ5451986

Changchang Xi

Publication date: 27 March 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Morita equivalencesHochschild cohomologyArtin algebrasstable equivalencesadjoint functorsCartan determinants

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (14)

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 ⋮ Deformed preprojective algebras of type \(L\): Külshammer spaces and derived equivalences. ⋮ Stable invariance of the restricted Lie algebra structure of Hochschild cohomology ⋮ On singular equivalences of Morita type ⋮ Classifying tame blocks and related algebras up to stable equivalences of Morita type. ⋮ \(\mathcal D\)-split sequences and derived equivalences. ⋮ Auslander-Reiten conjecture for symmetric algebras of polynomial growth. ⋮ Stable equivalences of Morita type and stable Hochschild cohomology rings. ⋮ Derived equivalences and stable equivalences of Morita type, I ⋮ Frobenius functors, stable equivalences and \(K\)-theory of Gorenstein projective modules ⋮ On Stable Equivalence of Tensor Products of Algebras

Cites Work

• Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.
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• Grothendieck groups of algebras and orders
• On a lift of an individual stable equivalence to a standard derived equivalence for representation-finite self-injective algebras.
• When is a cellular algebra quasi-hereditary?
• Equivalences of derived categories for symmetric algebras.
• Cellular algebras
• On the finitistic dimension conjecture. II: Related to finite global dimension
• Constructions of stable equivalences of Morita type for finite dimensional algebras. II.
• Construction of stable equivalences of Morita type for finite-dimensional algebras I
• On Standardly Stratified Algebras
• A relative description of a cohomolgy of representations
• Invariance of Hochschild cohomology algebras under stable equivalences of Morita type.

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