The Auslander-Reiten components seen as quasi-hereditary categories

DOI10.1007/s10485-017-9493-zzbMath1418.16009arXiv1510.00320OpenAlexW2962752806MaRDI QIDQ1743612

Martín Ortiz-Morales

Publication date: 13 April 2018

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00320

zbMATH Keywords

categories of modulesrepresentations of algebrasquasi-hereditary algebrasArtin algebrasfunctor categories

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items

Homological theory of k-idempotent ideals in dualizing varieties, A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS

Cites Work

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• Graded and Koszul categories
• Artin-Schelter regular algebras and categories.
• Tilting theory and functor categories. I: Classical tilting.
• Homological algebra in Abelian categories
• Tame algebras and integral quadratic forms
• Krull-Schmidt categories and projective covers
• Noetherianity and Gelfand-Kirillov dimension of components.
• Algebraic stratification in representation categories
• Quasi-hereditary algebras
• Applications of contravariantly finite subcategories
• Stable equivalence of dualizing R-varieties
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• Tilting theory and functor categories. II. Generalized tilting
• Rings with several objects
• Noetherian hereditary abelian categories satisfying Serre duality
• Tilting Theory and Functor Categories III. The Maps Category
• The homological theory of maximal Cohen-Macaulay approximations
• Coxeter Functors Without Diagrams
• Highest weight categories and recollements
• Representation Theory of Artin Algebras I
• Some Homological Properties of Tensor and Wreath Products of Quasi-Hereditary Algebras