SOME REMARKS ON PRINCIPAL PRIME IDEALS

被引：7
|
作者：
Anderson, D. D. [1 ]
Chun, Sangmin [2 ]
机构：
[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[2] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 83卷 / 01期
关键词：
principal prime ideal;
D O I：
10.1017/S000497271000170X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we investigate principal prime ideals in commutative rings. Among other things we characterize the principal prime ideals that are both minimal and maximal and characterize the maximal ideals of a polynomial ring that are principal. Our main result is that if (p) is a principal prime ideal of an atomic ring R, then ht(p) <= 1.
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页码：130 / 137
页数：8
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