Localization of injective modules over valuation rings

被引：7
|
作者：
Couchot, F [1 ]
机构：
[1] CNRS, Lab Math Nicolas Oresme, UMR 6139, Dept Math & Mecan, F-14032 Caen, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 04期
关键词：
h-local domain; Injective module; Prüfer domain; Valuation ring;
D O I：
10.1090/S0002-9939-05-08350-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved that E-J is injective if E is an injective module over a valuation ring R, for each prime ideal J not equal Z. Moreover, if E or Z is flat, then E-Z is injective, too. It follows that localizations of injective modules over h-local Prufer domains are injective, too.
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页码：1013 / 1017
页数：5
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