Localization of injective modules over valuation rings |
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| Authors: | Franç ois Couchot |
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| Affiliation: | Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139, Département de Mathématiques et Mécanique, 14032 Caen cedex, France |
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| Abstract: | It is proved that  is injective if  is an injective module over a valuation ring  , for each prime ideal  . Moreover, if  or  is flat, then  is injective, too. It follows that localizations of injective modules over h-local Prüfer domains are injective, too. |
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| Keywords: | Valuation ring, injective module, h-local domain, Pr" ufer domain. |
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