Tilting modules and universal localization
Representation Theory
2009-08-17 v1 Commutative Algebra
Abstract
We show that every tilting module of projective dimension one over a ring R is associated in a natural way to the universal localization (in the sense of Schofield) of R at a set of finitely presented modules of projective dimension one. We then investigate tilting modules arising from universal localization. Furthermore, we discuss the relationship between universal localization and the localization given by a perfect Gabriel topology. Finally, we give some applications to Artin algebras and to Pruefer domains.
Cite
@article{arxiv.0908.1985,
title = {Tilting modules and universal localization},
author = {Lidia Angeleri Hügel and Maria Archetti},
journal= {arXiv preprint arXiv:0908.1985},
year = {2009}
}