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Licensed Unlicensed Requires Authentication Published by De Gruyter August 31, 2009

Sigma-cotorsion modules over valuation domains

Silvana Bazzoni and Jan Šťovíček
From the journal

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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