Maria Archetti

  1. Tilting modules and universal localization.

    Authors: Lidia Angeleri Hügel, Maria Archetti
    Subjects: Representation Theory
    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.

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