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.
机构:
Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, ItalyDipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy
Cossu, Laura
Zanardo, Paolo
论文数: 0引用数: 0
h-index: 0
机构:
Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, ItalyDipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy