STRONGLY SEMIPRIME AND STRONGLY NILPOTENT IDEALS

被引：0
|
作者：
Khaksari, Ahmad [1 ]
机构：
[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2016年 / 38卷 / 01期
关键词：
quotient field; strongly semiprime; prime ideal;
D O I：
10.17654/NT038010039
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a domain with quotient field K. A proper ideal P of R is called strongly semiprime ideal if x is an element of K and xRx subset of P imply that x is an element of P. It is shown that I is a strongly semiprime if and only if it is an intersection of strongly prime ideals.
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页码：39 / 43
页数：5
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