Algebras with finite relative dominant dimension and almost \(n\)-precluster tilting modules

DOI10.1016/j.jpaa.2020.106498zbMath1462.16009arXiv1907.06448OpenAlexW3043470725MaRDI QIDQ2196355

Shen Li, Shun-Hua Zhang

Publication date: 28 August 2020

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

Full work available at URL: https://arxiv.org/abs/1907.06448

zbMATH Keywords

almost \(n\)-minimal Auslander-Gorenstein algebraalmost \(n\)-precluster tilting modulerelative dominant dimension

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items

THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPEA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dominant dimensions, derived equivalences and tilting modules
• Cluster tilting for higher Auslander algebras.
• \(\tau\)-categories. III: Auslander orders and Auslander-Reiten quivers.
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Auslander correspondence.
• Auslander-Gorenstein algebras and precluster tilting
• Dominant dimension and tilting modules
• Rigid modules over preprojective algebras.
• Relative homology and representation theory 1
• Relative homology and representation theory II
• Relative homology and representation theory III
• Gorenstein algebras and algebras with dominant dimension at least 2
• Tilting Modules and Dominant Dimension with Respect to Injective Modules
• Coxeter Functors Without Diagrams
• Ortho-symmetric Modules, Gorenstein Algebras, and Derived Equivalences
• Injective resolutions of Noetherian rings and cogenerators
• SPECIAL TILTING MODULES FOR ALGEBRAS WITH POSITIVE DOMINANT DIMENSION
• The Classification of Algebras by Dominant Dimension