On graded 2-absorbing and graded weakly 2-absorbing ideals

被引：27
|
作者：
Al-Zoubi, Khaldoun [1 ]
Abu-Dawwas, Rashid [2 ]
Ceken, Secil [3 ]
机构：
[1] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan
[2] Yarmouk Univ, Dept Math, Irbid, Jordan
[3] Trakya Univ, Dept Math, Edirne, Turkey
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2019年 / 48卷 / 03期
关键词：
graded 2-absorbing ideal; graded weakly 2-absorbing ideal; graded weakly prime ideal; graded prime ideal;
D O I：
10.15672/HJMS.2018.543
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and study graded 2-absorbing and graded weakly 2-absorbing ideals of a graded ring which are different from 2-absorbing and weakly 2-absorbing ideals. We give some properties and characterizations of these ideals and their homogeneous components. We investigate graded (weakly) 2-absorbing ideals of R-1 x R-2 where R-1 and R-2 are two graded rings.
引用
收藏
页码：724 / 731
页数：8
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