On the Auslander-Reiten quiver of a \({\mathcal P}_1\)-hereditary Artin algebra

DOI10.1016/S0022-4049(99)00048-1zbMath0974.16011OpenAlexW2072105055WikidataQ127517310 ScholiaQ127517310MaRDI QIDQ1577496

Flávio Ulhoa Coelho, Lidia Angeleri Hügel

Publication date: 10 September 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00048-1

zbMATH Keywords

Auslander-Reiten componentsAuslander-Reiten quiversindecomposable moduleshereditary Artin algebraspreinjective partitionspostprojective partitions

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (1)

Splitting torsion pairs over pure semisimple rings.

Cites Work

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• Preprojective modules over Artin algebras
• The connected components of the Auslander-Reiten quiver of a tilted algebra
• Artin algebras with directing indecomposable projective modules
• Glueings of tilted algebras
• Postprojective components for algebras with certain heredity conditions
• \({\mathcal P}_ 1\)-hereditary Artin algebras
• Components of Auslander-Reiten quivers with only preprojective modules
• A generalization of todorov's theorem on preprojective partitions
• A Note on Preprojective Partitions Over Hereditary Artin Algebras
• The Preprojective Partition for Hereditary Artin Algebras
• Tilted Algebras
• On Algebras Stably Equivalent to an Hereditary Artin Algebra
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• On the category vx in the preprojective partition

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