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Symmetry
Volume 14
Issue 7
10.3390/sym14071472
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Article

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

by
Azzh Saad Alshehry
1,
Jebrel M. Habeb
2,
Rashid Abu-Dawwas
2,* and
Ahmad Alrawabdeh
2
1
Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
2
Department of Mathematics, Yarmouk University, Irbid 21163, Jordan
*
Author to whom correspondence should be addressed.
Symmetry 2022, 14(7), 1472; https://doi.org/10.3390/sym14071472
Submission received: 17 June 2022 / Revised: 12 July 2022 / Accepted: 14 July 2022 / Published: 19 July 2022
(This article belongs to the Section B: Mathematics)
Versions Notes

Abstract

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.
Keywords: graded prime ideals; graded weakly prime ideals; graded 2-absorbing ideals; graded weakly 2-absorbing ideals graded prime ideals; graded weakly prime ideals; graded 2-absorbing ideals; graded weakly 2-absorbing ideals

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MDPI and ACS Style

Alshehry, A.S.; Habeb, J.M.; Abu-Dawwas, R.; Alrawabdeh, A. Graded Weakly 2-Absorbing Ideals over Non-Commutative Graded Rings. Symmetry 2022, 14, 1472. https://doi.org/10.3390/sym14071472

AMA Style

Alshehry AS, Habeb JM, Abu-Dawwas R, Alrawabdeh A. Graded Weakly 2-Absorbing Ideals over Non-Commutative Graded Rings. Symmetry. 2022; 14(7):1472. https://doi.org/10.3390/sym14071472

Chicago/Turabian Style

Alshehry, Azzh Saad, Jebrel M. Habeb, Rashid Abu-Dawwas, and Ahmad Alrawabdeh. 2022. "Graded Weakly 2-Absorbing Ideals over Non-Commutative Graded Rings" Symmetry 14, no. 7: 1472. https://doi.org/10.3390/sym14071472

APA Style

Alshehry, A. S., Habeb, J. M., Abu-Dawwas, R., & Alrawabdeh, A. (2022). Graded Weakly 2-Absorbing Ideals over Non-Commutative Graded Rings. Symmetry, 14(7), 1472. https://doi.org/10.3390/sym14071472

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