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Tilting modules and universal localization
-
Lidia Angeleri Hügel
and
Maria Archetti
Published/Copyright:
June 29, 2012
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.
Received: 2009-06-18
Revised: 2010-06-11
Published Online: 2012-06-29
Published in Print: 2012-07-01
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Representations of quivers over a ring and the Weak Krull–Schmidt Theorems
- Logarithmically improved regularity criteria for the 3D viscous MHD equations
- Tilting modules and universal localization
- A bound on the degree of schemes defined by quadratic equations
- Hardy's inequality in the scope of Dirichlet forms
- On some Banach spaces of martingales associated with function spaces
- Construction of quasi-periodic response solutions in forced strongly dissipative systems
- On the description of Leibniz superalgebras of nilindex
- Presentations of graph braid groups
- On the vanishing of the lower K-theory of the holomorph of a free group on two generators
- Boundedly generated subgroups of finite groups
