Graded Weakly 2-Absorbing Ideals over Non-Commutative Graded Rings

被引:1
|
作者
Alshehry, Azzh Saad [1 ]
Habeb, Jebrel M. [2 ]
Abu-Dawwas, Rashid [2 ]
Alrawabdeh, Ahmad [2 ]
机构
[1] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Yarmouk Univ, Dept Math, Irbid 21163, Jordan
来源
SYMMETRY-BASEL | 2022年 / 14卷 / 07期
关键词
graded prime ideals; graded weakly prime ideals; graded 2-absorbing ideals; graded weakly 2-absorbing ideals;
D O I
10.3390/sym14071472
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 G be a group and R be a G-graded ring. In this paper, we present and examine the concept of graded weakly 2-absorbing ideals as in generality of graded weakly prime ideals in a graded ring which is not commutative, and demonstrates that the symmetry is obtained as a lot of the outcomes in commutative graded rings remain in graded rings that are not commutative.
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页数:9
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