On two sided -n-derivation in 3-prime near-rings

被引:1
|
作者
Oukhtite, L. [1 ]
Raji, A. [2 ]
机构
[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci & Technol, Dept Math, Fes, Morocco
[2] Sultan Moulay Slimane Univ, Fac Sci & Technol, Dept Math, Beni Mellal, Morocco
关键词
prime near-ring; derivation; two sided -n-derivation; commutativity;
D O I
10.1007/s10474-018-0899-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let N be a left near-ring and let be a function of N. We introduce the notion of two sided -n-derivation and prove that a prime zero symmetric near-ring involving -n-derivations satisfying certain identities is a commutative ring.Also, some examples are given to shown that the 3-primeness condition in our results is not redundant.
引用
收藏
页码:465 / 477
页数:13
相关论文
共 50 条
  • [21] Some commutativity criteria for 3-prime near-rings
    Raji, A.
    ALGEBRA AND DISCRETE MATHEMATICS, 2021, 32 (02): : 280 - 298
  • [22] Some Algebraic Identities in 3-Prime Near-Rings
    A. Boua
    M. Ashraf
    Ukrainian Mathematical Journal, 2020, 72 : 39 - 51
  • [23] Some results on 3-Prime near-rings with derivations
    Abdelkarim Boua
    Ahmed A. M. Kamal
    Indian Journal of Pure and Applied Mathematics, 2016, 47 : 705 - 716
  • [24] SOME RESULTS ON 3-PRIME NEAR-RINGS WITH DERIVATIONS
    Boua, Abdelkarim
    Kamal, Ahmed A. M.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2016, 47 (04): : 705 - 716
  • [25] SERVAL ALGEBRAIC IDENTITIES IN 3-PRIME NEAR-RINGS
    Boua, A.
    Ali, A.
    Ul Huque, I.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (02): : 249 - 258
  • [26] COMMUTATIVITY OF JORDAN IDEALS IN 3-PRIME NEAR-RINGS WITH DERIVATIONS
    Boua, Abdelkarim
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (01): : 37 - 44
  • [27] Generalized multiplicative derivations and commutativity of 3-prime near-rings
    Ashraf, Mohammad
    Siddeeque, Mohammad Aslam
    AFRIKA MATEMATIKA, 2019, 30 (3-4) : 571 - 580
  • [28] Homoderivations and Jordan right ideals in 3-prime near-rings
    Boua, Abdelkarim
    2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, ICAM'2018, 2019, 2074
  • [29] STRUCTURE OF 3-PRIME NEAR-RINGS SATISFYING SOME IDENTITIES
    Boua, Abdelkarim
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (01): : 17 - 26
  • [30] Some Specific Differential Identities in 3-prime Near-rings
    Boua, Abdelkarim
    Mouhssine, Samir
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42 : 13 - 13