On graded 1-absorbing prime ideals

被引：7

作者：

Abu-Dawwas, Rashid ^{[1
]}

Yildiz, Eda ^{[2
]}

Tekir, Unsal ^{[3
]}

Koc, Suat ^{[3
]}

机构：

[1] Yarmouk Univ, Dept Math, Irbid, Jordan

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

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

来源：

SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2021年 / 15卷 / 01期

关键词：

Graded 1-absorbing prime ideal; Graded prime ideal; Graded primary ideal; Graded 2-absorbing ideal;

D O I：

10.1007/s40863-021-00218-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a group with identity e and R be a G-graded commutative ring with unity 1. In this article, we introduce and study the concept of graded 1-absorbing prime ideals which is a generalization of graded prime ideals. A proper graded ideal P of R is called graded 1-absorbing prime if for all nonunit elements x,y,z is an element of h(R) such that xy z is an element of P, then either xy is an element of P or z is an element of P.

引用

页码：450 / 462

页数：13

共 16 条

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