ON COMMUTATIVITY OF NEAR-RINGS WITH GENERALIZED OUTER (σ, τ)-n-DERIVATIONS

被引:0
|
作者
Leerawat, Utsanee [1 ]
Aroonruviwat, Pitipong [1 ]
机构
[1] Kasetsart Univ, Fac Sci, Dept Math, Bangkok 10900, Thailand
关键词
near-ring; commutative; derivation; (sigma; tau)-derivation; outer; tau)-n-derivation;
D O I
10.17654/NT049020167
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the notion of a generalized outer (sigma, tau)-n- derivation in a near-ring N and investigate some results involving generalized outer (sigma, tau)-n- derivations of a prime near-ring making it to be a commutative ring. Moreover, we study additive commutativity of near-rings satisfying certain identities involving generalized outer (sigma, tau)-n- derivations.
引用
收藏
页码:167 / 183
页数:17
相关论文
共 50 条
  • [41] Multiplicative generalized Lie n-derivations of unital rings with idempotents
    Mohammad Ashraf
    Mohammad Afajal Ansari
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [42] ON DERIVATIONS OF CENTRALIZER NEAR-RINGS
    Fong, Y.
    Wang, C. -S.
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (04): : 1437 - 1446
  • [43] On derivations in near-rings, II
    Bell, HW
    NEARRINGS, NEARFIELDS, AND K-LOOPS, 1997, 426 : 191 - 197
  • [44] Multiplicative generalized Lie n-derivations of unital rings with idempotents
    Ashraf, Mohammad
    Ansari, Mohammad Afajal
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (02)
  • [45] Existence of derivations on near-rings
    Kamal, Ahmed A. M.
    Al-Shaalan, Khalid H.
    MATHEMATICA SLOVACA, 2013, 63 (03) : 431 - 448
  • [46] Semiprime Near-Rings with Derivations
    Jin, Xiaocan
    PROCEEDINGS OF 2008 INTERNATIONAL PRE-OLYMPIC CONGRESS ON COMPUTER SCIENCE, VOL I: COMPUTER SCIENCE AND ENGINEERING, 2008, : 107 - 110
  • [47] ON DERIVATIONS OF PRIME NEAR-RINGS
    WANG, XK
    CHINESE SCIENCE BULLETIN, 1992, 37 (10): : 874 - 874
  • [48] DERIVATIONS IN PRIME NEAR-RINGS
    WANG, XK
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 121 (02) : 361 - 366
  • [49] ON DERIVATIONS OF PRIME NEAR-RINGS
    王学宽
    Chinese Science Bulletin, 1992, (10) : 874 - 874
  • [50] On Multiplicative Generalized Derivations in 3-Prime Near-Rings
    Bedir, Zeliha
    Golbas, Oznur
    6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017), 2018, 1926