Localization of injective modules over arithmetical rings

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dc.creatorCouchot, Francois
dc.date2009-01-12
dc.date.accessioned2026-07-07T12:28:25Z
dc.date.available2026-07-07T12:28:25Z
dc.descriptionIt is proved that localizations of injective $R$-modules of finite Goldie dimension are injective if $R$ is an arithmetical ring satisfying the following condition: for every maximal ideal $P$, $R_P$ is either coherent or not semicoherent. If, in addition, each finitely generated $R$-module has finite Goldie dimension, then localizations of finitely injective $R$-modules are finitely injective too. Moreover, if $R$ is a Prüfer domain of finite character, localizations of injective $R$-modules are injective.
dc.identifierhttps://arxiv.org/abs/0901.1560
dc.identifierhttp://arxiv.org/abs/0901.1560
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215534
dc.subjectRings and Algebras
dc.subject13F05, 13C11
dc.titleLocalization of injective modules over arithmetical rings
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