Relative tilting theory in abelian categories. I: Auslander-Buchweitz-Reiten approximations theory in subcategories and cotorsion-like pairs

DOI10.1007/S40590-024-00628-1MaRDI QIDQ6592828

Octavio Mendoza Hernández, Alejandro Argudín Monroy

Publication date: 26 August 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

homological dimensionscotorsion pairsAuslander-Buchweitz-Reiten theory

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Cluster tilting for higher Auslander algebras.
• Tilting categories with applications to stratifying systems.
• Tilting modules of finite projective dimension
• A characterization of \(n\)-cotilting and \(n\)-tilting modules.
• \(n\)-star modules and \(n\)-tilting modules.
• Applications of contravariantly finite subcategories
• Tilting subcategories in extriangulated categories
• \( \infty \)-tilting theory
• Sur quelques points d'algèbre homologique
• Frobenius pairs in abelian categories. Frobenius pairs in abelian categories, correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts
• Infinitely generated tilting modules of finite projective dimension
• Relative Gorenstein objects in abelian categories
• The homological theory of maximal Cohen-Macaulay approximations
• Tilted Algebras
• The Tilting–Cotilting Correspondence
• THE YONEDA EXT AND ARBITRARY COPRODUCTS IN ABELIAN CATEGORIES
• Cut cotorsion pairs
• Infinitely generated Gorenstein tilting modules

Related Items (1)

Categories of quiver representations and relative cotorsion pairs

This page was built for publication: Relative tilting theory in abelian categories. I: Auslander-Buchweitz-Reiten approximations theory in subcategories and cotorsion-like pairs

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6592828)