Valuation Domains Whose Products of Free Modules Are Separable |
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| Authors: | François Couchot |
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| Affiliation: | 1. Laboratory of Mathematics Nicolas Oresme, Department of Mathematics and Mechanics , University of Caen , Caen, France couchot@math.unicaen.fr |
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| Abstract: | It is proved that if R is a valuation domain with maximal ideal P and if R L is countably generated for each prime ideal L, then R R is separable if and only R J is maximal, where J = ∩ n∈? P n . |
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| Keywords: | Separable module Torsion-free module Valuation domain |
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