\(n\)-cluster tilting subcategories for radical square zero algebras

DOI10.1016/j.jpaa.2022.107157OpenAlexW3162456603MaRDI QIDQ2161119

Laertis Vaso

Publication date: 4 August 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.05830

zbMATH Keywords

Auslander-Reiten theoryrepresentation-finite algebrastring algebraradical square zero algebra\(n\)-cluster tilting subcategory

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items

The role of gentle algebras in higher homological algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Auslander correspondence.
• \(n\)-cluster tilting subcategories of representation-directed algebras
• Auslander-Gorenstein algebras from Serre-formal algebras via replication
• Higher Nakayama algebras. I: Construction
• \(d\)-representation-finite self-injective algebras
• Higher Auslander correspondence for dualizing \(R\)-varieties
• Stable categories of higher preprojective algebras.
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Existence of a 2-cluster tilting module does not imply finite complexity
• $n$-representation-finite algebras and $n$-APR tilting
• Selfinjective quivers with potential and 2-representation-finite algebras
• Maximal 𝑛-orthogonal modules for selfinjective algebras
• Auslander-Reiten theory revisited
• Auslander-reiten sequences with few middle terms and applications to string algebrass