THE AUSLANDER–REITEN SEQUENCES ENDING AT GABRIEL–ROITER FACTOR MODULES OVER TAME HEREDITARY ALGEBRAS

DOI10.1142/S0219498807002570zbMath1155.16019MaRDI QIDQ5386937

Bo Chen

Publication date: 14 May 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

tame hereditary algebrasAuslander-Reiten sequencesirreducible mapsfinite-dimensional hereditary algebrasGabriel-Roiter measurequivers of Euclidean typeGabriel-Roiter factor modules

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items (4)

The Gabriel-Roiter measure for \(\widetilde{\mathbb A}_n\). II. ⋮ The number of the Gabriel-Roiter measures admitting no direct predecessors over a wild quiver. ⋮ The Gabriel-Roiter measure for \(\widetilde\mathbb{A}_n\). ⋮ The Gabriel-Roiter submodules of simple homogeneous modules

Cites Work

• Tame algebras and integral quadratic forms
• The Gabriel-Roiter measure for representation-finite hereditary algebras.
• The Gabriel-Roiter measure.
• The Theorem of Bo Chen and Hall Polynomials
• Unnamed Item

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