A characterization of the tilting pair.

DOI10.1016/j.jalgebra.2007.05.003zbMath1133.16004OpenAlexW2027943397MaRDI QIDQ2466511

Jiaqun Wei, Changchang Xi

Publication date: 15 January 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.05.003

zbMATH Keywords

tilting modulescategories of modulesArtin algebrasresolutionsselforthogonal modulestilting pairs

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (13)

Tilting pair over split-by-nilpotent extensions ⋮ Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras ⋮ Relative tilting classes in extriangulated categories ⋮ Semi-tilting complexes. ⋮ Unnamed Item ⋮ Tilting complexes and Auslander-Reiten conjecture. ⋮ Gorenstein tilting pairs ⋮ An Auslander-Buchweitz approximation approach to (pre)silting subcategories in triangulated categories ⋮ Auslander-Reiten correspondence for tilting pairs. ⋮ Generalized Auslander-Reiten conjecture and tilting equivalences ⋮ Approximations and cotorsion pairs related to a tilting pair. ⋮ n-C-Star Modules and n-C-Tilting Modules ⋮ Wakamatsu tilting pairs

Cites Work

• Unnamed Item
• Stable equivalence for self-injective algebras and a generalization of tilting modules
• Tilting modules of finite projective dimension
• On modules with trivial self-extensions
• Preprojective modules over Artin algebras
• A characterization of \(n\)-cotilting and \(n\)-tilting modules.
• Equivalences and the tilting theory.
• On the quiver of tilting modules.
• Applications of contravariantly finite subcategories
• Tilting modules and tilting torsion theories
• Infinitely generated tilting modules of finite projective dimension
• Relative homology and representation theory II
• Tilting, cotilting, and serially tilted rings
• Tilting modules and ∗-modules
• Tilting modules associated with a series of idempotent ideals

This page was built for publication: A characterization of the tilting pair.