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] Commutativity of near-rings with derivations by using algebraic substructures
    Ahmed A. M. Kamal
    Khalid H. Al-Shaalan
    Indian Journal of Pure and Applied Mathematics, 2012, 43 : 211 - 225
  • [22] α-N-Derivations in Prime Near - Rings
    Adhab, Enaam Farhan
    SECOND INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE, SMART STRUCTURES AND APPLICATIONS (ICMSS-2019), 2019, 2201
  • [23] Some properties of rings and near-rings with derivations and generalized derivations
    Al-Shaalan, Khalid
    GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (03) : 335 - 339
  • [24] Generalized derivations on near-rings with identities
    Boua, Abdelkarim
    Farhan, Enaam
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2022, 25 (08): : 2505 - 2518
  • [25] A study of near-rings with generalized derivations
    Samman, M.
    Oukhtite, L.
    Boua, A.
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2015, 9 (03): : 407 - 413
  • [26] STRUCTURE OF 3-PRIME NEAR RINGS WITH GENERALIZED (σ, τ)-n-DERIVATIONS
    Ali, Asma
    Boua, Abdelkarim
    Ul Huque, Inzamam
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2023, 47 (06): : 891 - 909
  • [27] ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS
    Park, Kyoo-Hong
    Jung, Yong-Soo
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 25 (01): : 1 - 9
  • [28] TRACES OF PERMUTING GENERALIZED N-DERIVATIONS OF RINGS
    Ashraf, Mohammad
    Khan, Almas
    Jamal, Malik Rashid
    MISKOLC MATHEMATICAL NOTES, 2018, 19 (02) : 731 - 740
  • [29] On Generalized (alpha, beta)-n-Derivations in Rings
    Ashraf, Mohammad
    Parveen, Nazia
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2016, 40 (06) : 783 - 796
  • [30] SOME RESULTS ON NEAR-RINGS WITH GENERALIZED DERIVATIONS
    Golbasi, Oznur
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2005, 54 (02): : 21 - 26
12345