On the radical of cluster tilted algebras

DOI10.1007/s40879-021-00514-4OpenAlexW4212926478MaRDI QIDQ2147394

Claudia Chaio, Victoria Guazzelli

Publication date: 20 June 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.12684

zbMATH Keywords

irreducible morphismcluster tilted algebrasnilpotency index

Mathematics Subject Classification ID

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

Cites Work

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• On the degree of irreducible morphisms.
• A characterization of finite Auslander-Reiten quivers
• The self-injective cluster-tilted algebras.
• Covering spaces in representation-theory
• Covering techniques in Auslander-Reiten theory
• On the composite of two irreducible morphisms in radical cube.
• Cluster mutation via quiver representations.
• A geometric model for cluster categories of type \(D_n\).
• Tilting theory and cluster combinatorics.
• On the Harada and Sai bound
• Cluster-tilted algebras
• Degrees of Irreducible Maps and the Shapes of Auslander-Reiten Quivers
• The Preprojective Partition for Hereditary Artin Algebras
• Degrees of irreducible morphisms and finite-representation type
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

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