Almost Primal Ideals in Commutative Rings

被引：0
|
作者：
Darani, Ahmad Y. [1 ]
机构：
[1] Univ Mohaghegh Ardabili, Dept Pure Math, Ardebil, Iran
来源：
CHIANG MAI JOURNAL OF SCIENCE | 2011年 / 38卷 / 02期
关键词：
almost prime ideal; primal ideal; weakly primal ideal; weakly prime ideal;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Let I be a proper ideal of a commutative ring R. An element a is an element of R is called almost prime to I provided that ra is an element of I 12 (with r is an element of R) implies that r e I. We denote by A(I) the set of all elements of R that are not almost prime to I. I is called an almost primal ideal of R if the set A(I) boolean OR I(2) forms an ideal of R. In this paper we first provide some results on almost primal ideals. We also study the relations among the primal ideals, weakly primal ideals and almost primal ideals of R.
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页码：161 / 165
页数：5
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