On the existence of postprojective components in the Auslander-Reiten quiver of an algebra

DOI10.21099/TKBJM/1496163094zbMath0902.16017OpenAlexW1598328558MaRDI QIDQ1375805

Peter Dräxler, José Antonio de la Peña

Publication date: 15 October 1998

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496163094

zbMATH Keywords

quadratic formsdirect summandsAuslander-Reiten quiverstranslation quiversone-point extensionsindecomposable summandsfinite quiverspostprojective componentsdirecting components

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items (6)

Supercanonical algebras. ⋮ On Lie algebras associated with representation-directed algebras ⋮ One-point extensions of wild concealed algebras. ⋮ Quasitilted algebras admit a preprojective component ⋮ An algorithm for finding all preprojective components of the Auslander-Reiten quiver ⋮ A preprojective Auslander-Reiten component for the socle projective modules of some right-peak algebras

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