A note on stable equivalences of Morita type.

DOI10.1016/J.JPAA.2006.01.007zbMath1130.16005OpenAlexW2032087765MaRDI QIDQ861834

Alex S. Dugas, Roberto Martínez-Villa

Publication date: 2 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.01.007

zbMATH Keywords

finite dimensional algebrascategories of modulesstable equivalences of Morita typeselfinjective algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Representations of associative Artinian rings (16G10) Bimodules in associative algebras (16D20)

Related Items (16)

On derived equivalences and homological dimensions ⋮ Frobenius bimodules and flat-dominant dimensions ⋮ Frobenius functors and Gorenstein homological properties ⋮ Stable equivalences of Morita type for Φ‐Beilinson–Green algebras ⋮ Inductions and restrictions for stable equivalences of Morita type ⋮ Stable equivalences of Morita type do not preserve tensor products and trivial extensions of algebras ⋮ On singular equivalences of Morita type ⋮ 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 ⋮ Gluing of idempotents, radical embeddings and two classes of stable 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 ⋮ Singular equivalence and the (Fg) condition ⋮ Characterisation and applications of $\Bbbk$-split bimodules ⋮ Frobenius functors, stable equivalences and \(K\)-theory of Gorenstein projective modules

Cites Work

• Adjoint functors and an extension of the Green correspondence for group representations
• Derived equivalences for group rings
• Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
• Constructions of stable equivalences of Morita type for finite dimensional algebras. II.
• Left-right projective bimodules and stable equivalences of Morita type
• Representation theory of artin algebras VI: A functorial approach to aimost split sequences
• On stable equivalences of Morita type for finite dimensional algebras
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