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Localization of injective modules over valuation rings

Francois Couchot
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Abstract

It is proved that the localization of an injective module E, over a valuation ring R, at a prime ideal J, is injective if J is not the subset of zero-divisors of R or if J or E is flat. It follows that localizations of injective modules over h-local Prüfer domains are injective too.

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Francois Couchot. 2006-03-29. Localization of injective modules over valuation rings. https://arxiv.org/abs/math/0510074

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