Completions of UFDs with semi-local formal fibers

被引：0
|
作者：
Jensen, D [1 ]
机构：
[1] Univ Texas, Dept Math, Austin, TX 78712 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 01期
关键词：
completion; formal fiber; UFD;
D O I：
10.1080/00927870500346321
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (T,M) be a complete local ring such that |T/M| = |T|. Given a finite set of incomparable nonmaximal prime ideals C of T , we provide necessary and sufficient conditions for T to be the completion of a local UFD A, whose generic formal fiber is semilocal with maximal ideals the elements of C. We also show that, given the T above, we can find necessary and sufficient conditions for T to be the completion of a UFD, whose formal fiber over a height one prime ideal is semilocal.
引用
收藏
页码：347 / 360
页数：14
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