A note on tilting sequences.
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 \(\mathcal C_T\).
scientific article; zbMATH DE number 5343473
scientific article