Extending Tilting Modules to One-Point Extensions by Projectives

DOI10.1080/00927870701404556zbMath1147.16020OpenAlexW1975640290MaRDI QIDQ5426286

Sonia Trepode, Dieter Happel, Ibrahim Assem

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701404556

zbMATH Keywords

one-point extensionsrestriction functorextension functortilting modules, posets

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 quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10)

Related Items (8)

\(\tau\)-tilting modules over one-point extensions by a projective module ⋮ Silting modules over triangular matrix rings ⋮ Recollements and tilting objects ⋮ Support $\tau $-tilting modules under split-by-nilpotent extensions ⋮ Support τ-tilting modules over one-point extensions ⋮ Reconstruction of path algebras from their posets of tilting modules ⋮ Tilting and trivial extensions ⋮ τ-Tilting modules over triangular matrix artin algebras

Cites Work

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• Tame algebras and integral quadratic forms
• On a partial order of tilting modules.
• Almost split sequences in subcategories
• On a simplicial complex associated with tilting modules
• Complements to partial tilting modules
• Applications of contravariantly finite subcategories
• The Simplicial Complex of Tilting Modules over Quiver Algebras

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