Localization of injective modules over valuation rings
Rings and Algebras
2007-05-23 v2
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 Pr\"{u}fer domains are injective too.
Cite
@article{arxiv.math/0510074,
title = {Localization of injective modules over valuation rings},
author = {Francois Couchot},
journal= {arXiv preprint arXiv:math/0510074},
year = {2007}
}