A note on tilting sequences.
type: Item
instance of: scholarly article
title: A note on tilting sequences.
zbMATH Open document ID: 1161.16007
author: Clezio A. Braga
author: Flávio U. Coelho
published in: Central European Journal of Mathematics
publication date: 2008-09-12T00:00:00Z
review text: In this note the authors prove the following result: Let \(T\) be a tilting module over a connected hereditary algebra \(H\) and \(B=\text{End}_H(T)\) be the corresponding tilted algebra. If the connected component \(\mathcal C_T\) of the Auslander-Reiten quiver of \(B\) containing the summands of \(\Hom_H(H,DH)\) is right stable, then \(\text{Mod-}B\) admits tilting modules which are direct limits of finitely generated tilting modules whose indecomposable summands are in \(\mathcal C_T\).
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 16E30
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 16G70
zbMATH DE Number: 5343473
zbMATH Keywords: tilting modules
zbMATH Keywords: direct limits
zbMATH Keywords: tilted algebras
zbMATH Keywords: connected hereditary algebras
zbMATH Keywords: connected components
zbMATH Keywords: Auslander-Reiten quivers
zbMATH Keywords: indecomposable summands
MaRDI profile type: Publication
full work available at URL: s11533-008-0029-5
OpenAlex ID: W2045713932
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DOI: 10.2478/S11533-008-0029-5
description: scientific article; zbMATH DE number 5343473