Stable equivalence of dualizing R-varieties. V: Artin algebras stably equivalent to hereditary algebras

DOI10.1016/0001-8708(75)90091-2zbMath0312.16018OpenAlexW2018088841MaRDI QIDQ1219941

Idun Reiten, Maurice Auslander

Publication date: 1975

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(75)90091-2

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Module categories in associative algebras (16D90) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

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Almost Split Sequences for Group Algebras of Finite Representation Type ⋮ A Note on Stable Equivalence and Nakayama Algebras ⋮ Triangular matrix categories. I: Dualizing varieties and generalized one-point extensions ⋮ Singularity categories and singular equivalences for resolving subcategories ⋮ Representation dimension and quasi-hereditary algebras. ⋮ Stable equivalence of dualizing R-varieties. III: Dualizing R-varieties stably equivalent to hereditary dualizing R-varieties ⋮ Stable equivalence of dualizing R-varieties. IV: Higher global dimension ⋮ Stable equivalence of dualizing R-varieties. VI: Nakayama dualizing R- varieties ⋮ Representation dimension: An invariant under stable equivalence ⋮ Stable equivalence of self-injective algebras ⋮ Representation theory of artin algebras VI: A functorial approach to aimost split sequences ⋮ On a Generalized Version of the Nakayama Conjecture ⋮ Relative homology and representation theory II

Cites Work

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• Stable equivalence of dualizing R-varieties. III: Dualizing R-varieties stably equivalent to hereditary dualizing R-varieties
• Stable equivalence of dualizing R-varieties. VI: Nakayama dualizing R- varieties
• Stable equivalence of dualizing R-varieties
• Representation Theory of Artin Algebras I
• Indecomposable Representations of Groups with a Cyclic Sylow Subgroup