Valuation domains whose products of free modules are separable

Details Valuation domains whose products of free modules are separable Valuation domains whose products of free modules are separable

2007-10-03

arxiv.org/abs/0710.0813v1

Communications in Algebra 35, 1 (2007) 2693--2697

Mathematics

Rings and Algebras

Scientific paper

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 $J=\cap_{n\in\mathbb{N}}P^n$.

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