TWO SIDED α-DERIVATIONS IN 3-PRIME NEAR-RINGS

被引:7
作者
Samman, M. [1 ]
Oukhtite, L. [1 ]
Raji, A. [2 ]
Boua, A. [3 ]
机构
[1] Taibah Univ, Coll Sci, Dept Math, POB 2285, Medina 41477, Saudi Arabia
[2] Univ Moulay Ismail, Fac Sci & Tech, Dept Matemat, Errachidia 52000, Morocco
[3] Ibn Zohr Univ, Fac Sci, Dept Math, POB 8106, Agadir 80000, Morocco
关键词
3-prime near-rings; two sided alpha-derivations; commutativity; COMMUTATIVITY;
D O I
10.1216/RMJ-2016-46-4-1379
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this paper is to investigate two sided alpha-derivations satisfying certain differential identities on 3-prime near-rings. Some well-known results characterizing commutativity of 3-prime near-rings by derivations (semi-derivations) have been generalized. Furthermore, examples proving the necessity of the 3-primeness hypothesis are given.
引用
收藏
页码:1379 / 1393
页数:15
相关论文
共 14 条
  • [1] Arga? N., 2004, TURK J MATH, V28, P195
  • [2] Ashraf M., 2008, Sarajevo J. Math., V4, P23
  • [3] SEMIGROUP IDEALS AND COMMUTATIVITY IN 3-PRIME NEAR RINGS
    Bell, H. E.
    Boua, A.
    Oukhtite, L.
    [J]. COMMUNICATIONS IN ALGEBRA, 2015, 43 (05) : 1757 - 1770
  • [4] Bell H. E., 1997, DERIVATIONS NEAR RIN
  • [5] Bell H. E., 2013, Asian Eur.J.Math, V6, P1350050, DOI [10.1142/s1793557113500502, DOI 10.1142/S1793557113500502]
  • [6] Bell H. E., 1992, Math. J. Okayama Univ., V34, P135
  • [7] Bell HE, 2001, ALGEBR COLLOQ, V8, P399
  • [8] Bell HE., 1987, NEAR RINGS NEAR FIEL, V137, P31
  • [9] DERIVATIONS IN PRIME-RINGS
    BERGEN, J
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1983, 26 (03): : 267 - 270
  • [10] Boua A., 2011, Int. J. Open Probl. Comput. Sci. Math., V4, P162