Complete integral closure and strongly divisorial prime ideals

被引：4
|
作者：
Barucci, V
Gabelli, S
Roitman, M
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
[2] Univ Roma Tre, Dipartimento Matemat, Rome, Italy
[3] Univ Haifa, Dept Math, IL-31999 Haifa, Israel
来源：
COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 11期
关键词：
complete integral closure; divisorial ideal;
D O I：
10.1081/AGB-120023967
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is well known that a domain without proper strongly divisorial ideals is completely integrally closed. In this paper we show that a domain without prime strongly divisorial ideals is not necessarily completely integrally closed, although this property holds under some additional assumptions.
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页码：5447 / 5465
页数：19
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