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.
引用
收藏
页数:9
相关论文
共 50 条
  • [31] Graded φ-2-Absorbing and Graded φ-2-Absorbing Primary Submodules
    Alshehry, Azzh Saad
    Bataineh, Malik
    Abu-Dawwas, Rashid
    MATHEMATICS, 2021, 9 (10)
  • [32] ON WEAKLY 2-ABSORBING PRIMARY SUBMODULES OF MODULES OVER COMMUTATIVE RINGS
    Darani, Ahmad Yousefian
    Soheilnia, Fatemeh
    Tekir, Unsal
    Ulucak, Gulsen
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (05) : 1505 - 1519
  • [33] On Graded Weakly 2-Absorbing Primary Submodules
    Al-Zoubi, Khaldoun
    Al-Azaizeh, Mariam
    VIETNAM JOURNAL OF MATHEMATICS, 2019, 47 (02) : 297 - 307
  • [34] On weakly radical ideals of non-commutative rings
    Groenewald, Nico
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022,
  • [35] On 2-Absorbing Primary Fuzzy Ideals of Commutative Rings
    Sonmez, Deniz
    Yesilot, Gursel
    Onar, Serkan
    Ersoy, Bayram Ali
    Davvaz, Bijan
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
  • [36] ON ALMOST 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS
    Bataineh, Malik
    Al-Nuserat, Obaydah
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2016, 38 (02): : 109 - 119
  • [37] On Graded Weakly 2-Absorbing Primary Submodules
    Khaldoun Al-Zoubi
    Mariam Al-Azaizeh
    Vietnam Journal of Mathematics, 2019, 47 : 297 - 307
  • [38] Generalizations of 2-absorbing Primal Ideals in Commutative Rings
    Jaber, Ameer
    Shaqbou'a, Rania
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42 : 13 - 13
  • [39] Generalizations of 2-absorbing primary ideals of commutative rings
    Badawi, Ayman
    Tekir, Unsal
    Aslankarayigit Ugurlu, Emel
    Ulucak, Gulsen
    Yetkin Celikel, Ece
    TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (03) : 703 - 717
  • [40] Uniformly 2-absorbing primary ideals of commutative rings
    Mostafanasab, H.
    Tekir, U.
    Ulucak, G.
    ALGEBRA AND DISCRETE MATHEMATICS, 2020, 29 (02): : 221 - 240