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
来源
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2021年 / 49卷 / 02期
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
  • [21] Results on 3-prime near-rings with generalized derivations
    Raji, A.
    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2016, 57 (04): : 823 - 829
  • [22] Generalized derivations and commutativity of prime rings
    Quadri, MA
    Khan, MS
    Rehman, N
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (09) : 1393 - 1396
  • [23] Note on sigma-derivations in Near-rings and Reduced Near-rings
    Asokkumar, Arjunan
    KYUNGPOOK MATHEMATICAL JOURNAL, 2007, 47 (01): : 151 - 154
  • [24] NOTES ON THE COMMUTATIVITY OF PRIME NEAR-RINGS
    Koc, Emine
    MISKOLC MATHEMATICAL NOTES, 2011, 12 (02) : 193 - 200
  • [25] On prime near-rings with generalized (σ, τ)-derivations (vol 45, pg 249, 2005)
    Al Hwaeer, Hassan J.
    Albkwre, Gbrel
    Turgay, Neset Deniz
    KYUNGPOOK MATHEMATICAL JOURNAL, 2020, 60 (02): : 415 - 421
  • [26] SEMIPRIME NEAR-RINGS WITH ORTHOGONAL DERIVATIONS
    Park, Kyoo-Hong
    Jung, Yong-Soo
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2006, 13 (04): : 303 - 310
  • [27] ON n-DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS
    Jabeen, Aisha
    MISKOLC MATHEMATICAL NOTES, 2024, 25 (02) : 777 - 791
  • [28] COMMUTATIVITY FOR RINGS WITH INVOLUTION INVOLVING GENERALIZED DERIVATIONS
    Boua, Abdelkarim
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2018, 40 (04): : 587 - 603
  • [29] Multiplicative Lie n-derivations of triangular rings
    Benkovic, Dominik
    Eremita, Daniel
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (11) : 4223 - 4240
  • [30] SOME RESULTS ON SYMMETRIC BI-(σ, τ)- DERIVATIONS IN NEAR-RINGS
    Ozturk, Mehmet Ali
    Yazarli, Hasret
    MISKOLC MATHEMATICAL NOTES, 2010, 11 (02) : 169 - 173