(2, J)-IDEALS IN COMMUTATIVE RINGS

被引：1

作者：

Yildiz, Eda ^{[1
]}

Tekir, Unsal ^{[2
]}

Koc, Suat ^{[2
]}

机构：

[1] Yildiz Tech Univ, Dept Math, TR-34220 Istanbul, Turkey

[2] Marmara Univ, Dept Math, TR-34722 Istanbul, Turkey

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2020年 / 73卷 / 09期

关键词：

ideal; J-ideal; (2; J)-ideal; n)-ideal; 2-ABSORBING PRIMARY IDEALS;

D O I：

10.7546/CRABS.2020.09.02

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 A be a commutative ring with nonzero identity. In this paper, we introduce the concept of (2, J)-ideal as a generalization of J-ideal. A proper ideal P of A is said to be a (2, J)-ideal if whenever abc is an element of P and a, b, c is an element of A, then ab is an element of P or ac is an element of Jac(A) or be is an element of Jac(A). Various examples and characterizations of (2, J)-ideals are given. Also, we study many properties of (2, J)-ideals and use them to characterize certain classes of rings such as quasi-local rings and Artinian rings.

引用

页码：1201 / 1209

页数：9

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