Representation dimension: An invariant under stable equivalence

DOI10.1090/S0002-9947-04-03596-2zbMath1074.16008OpenAlexW1948772780MaRDI QIDQ4671902

Xiangqian Guo

Publication date: 27 April 2005

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03596-2

zbMATH Keywords

Morita equivalencesglobal dimensionfinite representation typeArtin algebrasdominant dimensionstable equivalencesrepresentation dimension

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items

The representation dimension of \(k[x,y/(x^2,y^n)\).] ⋮ Representation dimension as a relative homological invariant of stable equivalence. ⋮ Auslander correspondence. ⋮ Extension dimensions of derived and stable equivalent algebras ⋮ Invariant properties of representations under excellent extensions. ⋮ Representation dimension of extensions of hereditary algebras. ⋮ Gorenstein homological invariant properties under Frobenius extensions ⋮ Tilting modules and representation dimensions. ⋮ Rigidity dimension of algebras

Cites Work

• Stable equivalence of dualizing R-varieties. V: Artin algebras stably equivalent to hereditary algebras
• Stable equivalence of dualizing R-varieties
• Representation theory of artin algebras VI: A functorial approach to aimost split sequences
• Representation Theory of Artin Algebras I
• Finiteness of representation dimension
• Unnamed Item
• Unnamed Item