On the Auslander-Reiten quiver of the representations of an infinite quiver.

DOI10.1007/s10468-012-9378-7zbMath1285.16014arXiv1201.4833OpenAlexW2079323535MaRDI QIDQ2637775

Charles Paquette

Publication date: 14 February 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4833

zbMATH Keywords

connected componentsAuslander-Reiten componentsAuslander-Reiten quiversalmost split sequencesAuslander-Reiten theorycategories of representations of quiversinfinite quivers

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Abelian categories, Grothendieck categories (18E10)

Related Items (1)

Irreducible morphisms and locally finite dimensional representations

Cites Work

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• Auslander-Reiten theory in a Krull-Schmidt category
• Tame algebras and integral quadratic forms
• Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian
• Noetherian hereditary abelian categories satisfying Serre duality
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• Representation theory of strongly locally finite quivers
• A Non-Existence Theorem for Almost Split Sequences

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