A note on relative tilting modules

作者:Wei Jiaqun*
来源:Journal of Pure and Applied Algebra, 2010, 214(4): 493-500.
DOI:10.1016/j.jpaa.2009.06.018

摘要

Bazzoni had given a simple characterization of infinitely generated n-tilting modules. Though her method is even inapplicable to classical n-tilting modules over Artin algebras, we show in this note that a similar characterization does hold for (finitely generated) relative n-tilting modules introduced by Auslander and Solberg for Artin algebras, by using a different method. We also present some applications.