n-Ideals of Commutative Rings

被引：48

作者：

Tekir, Unsal ^{[1
]}

Koc, Suat ^{[1
]}

Oral, Kursat Hakan ^{[2
]}

机构：

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

[2] Yildiz Tech Univ, Dept Math, Istanbul, Turkey

来源：

FILOMAT | 2017年 / 31卷 / 10期

关键词：

prime ideal; r-ideal; n-ideal; 2-ABSORBING PRIMARY IDEALS; PRIME IDEALS;

D O I：

10.2298/FIL1710933T

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a new classes of ideals: called n-ideal. Let R be a commutative ring with nonzero identity. We define a proper ideal I of R as an n-ideal if whenever ab is an element of I with a is not an element of root 0, then b is an element of I for every a, b is an element of R. We investigate some properties of n-ideals analogous with prime ideals. Also, we give many examples with regard to n-ideals.

引用

页码：2933 / 2941

页数：9

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