Constructing almost excellent unique factorization domains

被引:2
|
作者
Bryk, J
Mapes, S
Samuels, C
Wang, G
机构
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
[2] Rutgers State Univ, Dept Math, Piscataway, NJ USA
[3] Univ Texas, Dept Math, Austin, TX 78712 USA
[4] Univ Calif Berkeley, Dept Math, Berkeley, CA USA
关键词
complete ring; completion; excellent ring; local integral domain; normal domain; unique factorization domain;
D O I
10.1081/AGB-200058363
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let (T, M) be a complete local normal integral domain containing the rationals such that |T/M| >= c where c is the cardinality of the real numbers. Let p be a non-maximal prime ideal of T such that T-p is a regular local ring. We construct a local Unique Factorization Domain (UFD) A smelt that the M-adic completion of A is T, p is maximal in the generic formal fiber and all fibers of A are geometrically regular except for those over some height one prime ideals.
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页码:1321 / 1336
页数:16
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