Rigidity degrees of indecomposable modules over representation-finite self-injective algebras

DOI10.1016/j.jpaa.2023.107498arXiv2208.03464OpenAlexW4385638773WikidataQ122144437 ScholiaQ122144437MaRDI QIDQ6057745

Wei Hu, Xiaojuan Yin

Publication date: 26 October 2023

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

Full work available at URL: https://arxiv.org/abs/2208.03464

zbMATH Keywords

Euclidean algorithmrigidity dimensionrigidity degree

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

• Unnamed Item
• Endomorphism algebras of generators over symmetric algebras.
• On algebras with complete homology
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Auslander correspondence.
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• The derived equivalence classification of representation-finite selfinjective algebras
• Upper bounds for the dominant dimension of Nakayama and related algebras
• Rigidity dimensions of Hochschild extensions of hereditary algebras of type \(D\)
• On the classification of higher Auslander algebras for Nakayama algebras
• Upper bounds for dominant dimensions of gendo-symmetric algebras
• Morita algebras
• Derived equivalences and stable equivalences of Morita type, I
• Schur functors and dominant dimension
• Ortho-symmetric Modules, Gorenstein Algebras, and Derived Equivalences
• Rigidity dimension of algebras
• The Classification of Algebras by Dominant Dimension