Auslander–Reiten Components with Sectional Bypasses

DOI10.1080/00927870802562328zbMath1219.16015OpenAlexW2092410637MaRDI QIDQ3395187

Sonia Trepode, Edson Ribeiro Alvares, Claudia Chaio

Publication date: 24 August 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802562328

zbMATH Keywords

Auslander-Reiten quiversindecomposable modulesArtin algebrasAuslander-Reiten translationstranslation quiversirreducible morphismsbypassesalmost-split sequencesalmost sectional paths

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (2)

Degrees of irreducible morphisms in standard components. ⋮ The composite of irreducible morphisms in standard components.

Cites Work

• Unnamed Item
• On the degree of irreducible morphisms.
• Some characterisations of supported algebras.
• A bypass of an arrow is sectional
• Two-sided gluings of tilted algebras.
• Generalized double tilted algebras.
• The left and the right parts of a module category.
• Generalized standard Auslander-Reiten components
• On the composite of two irreducible morphisms in radical cube.
• On the composite of irreducible morphisms in almost sectional paths.
• Degrees of Irreducible Maps and the Shapes of Auslander-Reiten Quivers
• Semi-Stable Components of an Auslander-Reiten Quiver

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