Representation dimension as a relative homological invariant of stable equivalence.

DOI10.1007/s10468-006-9015-4zbMath1130.16006OpenAlexW2051948618MaRDI QIDQ2642948

Alex S. Dugas

Publication date: 6 September 2007

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-006-9015-4

zbMATH Keywords

Artin algebrashomological dimensionsstable equivalencesrepresentation dimensioncontravariantly finite subcategories

Mathematics Subject Classification ID

Related Items (8)

The representation dimension of a selfinjective algebra of Euclidean type ⋮ Auslander correspondence. ⋮ The representation dimension of Artin algebras ⋮ Approximation by interval-decomposables and interval resolutions of persistence modules ⋮ A note on stable equivalences of finite dimensional algebras ⋮ The resolution dimensions with respect to balanced pairs in the recollement of abelian categories ⋮ Representation dimension of extensions of hereditary algebras. ⋮ Triangular matrix coalgebras: Representation theory and recollement

Cites Work

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• Radical embeddings and representation dimension.
• Relative homology and representation theory 1
• Representation theory of artin algebras VI: A functorial approach to aimost split sequences
• Representation dimension: An invariant under stable equivalence
• A note on the stable equivalence conjecture

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