Tilting modules and universal localization

Abstract

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 at a set of finitely presented modules of projective dimension one. We then investigate tilting modules of the form . 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 Prüfer domains.