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Sigma-cotorsion modules over valuation domains
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Silvana Bazzoni
Published/Copyright:
August 31, 2009
Abstract
We give a characterization of Σ-cotorsion modules over valuation domains in terms of descending chain conditions on certain chains of definable subgroups. We prove that pure submodules, direct products and modules elementarily equivalent to a Σ-cotorsion module are again Σ-cotorsion. Moreover, we describe the structure of Σ-cotorsion modules.
Received: 2007-09-12
Revised: 2008-04-08
Published Online: 2009-08-31
Published in Print: 2009-September
© de Gruyter 2009
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Articles in the same Issue
- Applications of Multivariate Asymptotics I: Boundedness of a maximal operator on
- Geodesic flow of the averaged controlled Kepler equation
- Hyperbolicity in unbounded convex domains
- Explicit connections with SU(2)-monodromy
- Eigentheory of Cayley-Dickson algebras
- Alternators in the Cayley-Dickson algebras
- Cohomological characterisation of Steiner bundles
- Sigma-cotorsion modules over valuation domains
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