Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one

DOI10.4064/cm132-2-6zbMath1333.16015OpenAlexW2322382745WikidataQ114022036 ScholiaQ114022036MaRDI QIDQ2855860

Adam Skowyrski

Publication date: 22 October 2013

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

Full work available at URL: https://doi.org/10.4064/cm132-2-6

zbMATH Keywords

projective dimensionAuslander-Reiten quiversindecomposable modulesArtin algebrasinjective dimensioncycle-finite algebrasgeneralized double tilted algebrastame quasitilted algebras

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

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The Krull-Gabriel dimension of cycle-finite Artin algebras ⋮ Cycles of modules and finite representation type ⋮ Cycle-finite algebras having finitely many indecomposable modules lying on short paths with injective source and projective target ⋮ A characterization of cycle-finite generalized double tilted algebras. ⋮ On algebras of generalized standard semiregular type ⋮ Cycle-Finite Algebras with Finitely Many τ-Rigid Indecomposable Modules ⋮ Cycle-Finite Module Categories ⋮ Krull dimension of tame generalized multicoil algebras.