ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS

被引：94

作者：

Badawi, Ayman ^{[1
]}

Tekir, Unsal ^{[2
]}

Yetkin, Ece ^{[2
]}

机构：

[1] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates

[2] Marmara Univ, Dept Math, Istanbul, Turkey

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 04期

关键词：

primary ideal; prime ideal; 2-absorbing ideal; n-absorbing ideal;

D O I：

10.4134/BKMS.2014.51.4.1163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative ring with 1 not equal 0. In this paper, we introduce the concept of 2-absorbing primary ideal which is a generalization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever a, b,c is an element of R and abc is an element of I, then ab is an element of I or ac is an element of root I or bc is an element of root I. A number of results concerning 2-absorbing primary ideals and examples of 2-absorbing primary ideals are given.

引用

页码：1163 / 1173

页数：11

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