Components of AR-quivers for string algebras of type \(\widetilde{\mathbb{C}}\) and a conjecture by Geiss-Leclerc-Schröer

DOI10.1016/j.jalgebra.2023.05.036zbMath1527.16018OpenAlexW4379619598WikidataQ123003607 ScholiaQ123003607MaRDI QIDQ6114007

Zengqiang Lin, Hua-Lin Huang, Xiuping Su

Publication date: 11 July 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.05.036

zbMATH Keywords

rootstring algebra\(\tau\)-locally free moduleminimal string module

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)

Cites Work

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• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Indecomposable representations of graphs and algebras
• On components of type for string algebras
• Quivers with relations for symmetrizable Cartan matrices V: Caldero-Chapoton formulas
• Quivers with Relations for Symmetrizable Cartan Matrices II: Change of Symmetrizers
• Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras

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