Links of faithful partial tilting modules.

DOI10.1007/s10468-009-9164-3zbMath1266.16011OpenAlexW2021343887MaRDI QIDQ630064

Luise Unger, Dieter Happel

Publication date: 17 March 2011

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9164-3

zbMATH Keywords

direct summandscategories of finitely generated left modulesbasic hereditary finite-dimensional algebraslinks of partial tilting modulesorthogonal categoriesquivers of tilting modules

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (2)

On the combinatorics of the set of tilting modules ⋮ Pre-Projective Parts of Tilting Quivers Over Certain Path Algebras

Cites Work

• Tame algebras and integral quadratic forms
• On a partial order of tilting modules.
• Preprojective modules over Artin algebras
• Perpendicular categories with applications to representations and sheaves
• On the quiver of tilting modules.
• Reconstruction of path algebras from their posets of tilting modules
• Almost Complete Tilting Modules
• Tilted Algebras
• Partial tilting modules and covariantly finite subcategories
• The Simplicial Complex of Tilting Modules over Quiver Algebras
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