On the quiver of tilting modules.

DOI10.1016/j.jalgebra.2004.11.007zbMath1111.16011OpenAlexW2086797460MaRDI QIDQ1770461

Dieter Happel, Luise Unger

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.11.007

zbMATH Keywords

tilting modulesArtin algebrashomological dimensionsAuslander-Reiten sequences

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (20)

On the combinatorics of the set of tilting modules ⋮ On faithfully balanced modules, F-cotilting and F-Auslander algebras ⋮ Image-extension-closed subcategories of module categories of hereditary algebras ⋮ Distributive lattices and the poset of pre-projective tilting modules. ⋮ A relation between tilting graphs and cluster-tilting graphs of hereditary algebras. ⋮ Tilting quivers for BB‐tilted algebras ⋮ Representation dimensions of triangular matrix algebras. ⋮ Links of faithful partial tilting modules. ⋮ Weak orders on symmetric groups and posets of support τ-tilting modules ⋮ Endomorphism algebras of tilting modules over \(m\)-replicated algebras. ⋮ On Galois coverings and tilting modules. ⋮ A characterization of the tilting pair. ⋮ Partial tilting modules over \(m\)-replicated algebras. ⋮ Taking tilting modules from the poset of support tilting modules. ⋮ Reconstruction of path algebras from their posets of tilting modules ⋮ Tilting Mutation and Duplicated Algebras ⋮ Noncrossing partitions and representations of quivers ⋮ Pre-Projective Parts of Tilting Quivers Over Certain Path Algebras ⋮ Tilting modules for the Auslander algebra of K[x/(xⁿ)] ⋮ On a partial order of tilting modules.

Cites Work

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• Tame algebras and integral quadratic forms
• On a partial order of tilting modules.
• Complements to partial tilting modules
• Applications of contravariantly finite subcategories
• Modules of finite projective dimension and cocovers
• Tilted Algebras
• Partial tilting modules and covariantly finite subcategories
• The Simplicial Complex of Tilting Modules over Quiver Algebras

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