Degeneration-like orders on the additive categories of generalized standard Auslander-Reiten components

DOI10.1007/PL00000404zbMath0959.16009OpenAlexW2044301177MaRDI QIDQ1973456

Grzegorz Zwara, Andrzej Skowroński

Publication date: 31 January 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000404

zbMATH Keywords

representationsAuslander-Reiten quiversindecomposable modulesDynkin quiverspartial ordersdegenerations of modulestilted algebrasArtinian algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (9)

The structure and homological properties of generalized standard Auslander-Reiten components ⋮ On simple-minded systems over domestic Brauer graph algebras ⋮ On selfinjective Artin algebras having generalized standard quasitubes. ⋮ On the indecomposable modules in almost cyclic coherent Auslander-Reiten components. ⋮ On the additive categories of generalized standard almost cyclic coherent Auslander-Reiten components. ⋮ Degenerations for indecomposable modules in almost cyclic coherent Auslander-Reiten components. ⋮ Cycle-Finite Algebras with Finitely Many τ-Rigid Indecomposable Modules ⋮ Cycle-Finite Module Categories ⋮ Degrees of irreducible morphisms in generalized standard coherent almost cyclic components

This page was built for publication: Degeneration-like orders on the additive categories of generalized standard Auslander-Reiten components