Valuation domains whose products of free modules are separable

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dc.creatorCouchot, Francois
dc.date2007-10-03
dc.date.accessioned2026-07-07T08:33:45Z
dc.date.available2026-07-07T08:33:45Z
dc.descriptionIt 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 $J=\cap_{n\in\mathbb{N}}P^n$.
dc.identifierhttps://arxiv.org/abs/0710.0813
dc.identifierhttp://arxiv.org/abs/0710.0813
dc.identifierCommunications in Algebra 35, 1 (2007) 2693--2697
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139238
dc.subjectRings and Algebras
dc.subject13C10, 13F99, 13G05
dc.titleValuation domains whose products of free modules are separable
dc.typetext

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