STUDY OF QUOTIENT NEAR-RINGS WITH ADDITIVE MAPS

被引:0
|
作者
Boua, Abdelkarim [1 ]
Raji, Abderrahmane [2 ]
Zerbane, Abdelilah [1 ]
机构
[1] Taza Sidi Mohammed Ben Abdellah Univ, Polydisciplinary Fac, Dept Math, LSI, Fes, Morocco
[2] Sultan Moulay Slimane Univ, Fac Sci & Technol, LMACS Lab, Beni Mellal, Morocco
来源
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 39卷 / 02期
关键词
Prime near-rings; derivations; left multipliers; commutativity; COMMUTATIVITY; DERIVATIONS; IDEALS;
D O I
10.4134/CKMS.c230233
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider N to be a 3 -prime field and P to be a prime ideal of N . In this paper, we study the commutativity of the quotient near -ring N / P with left multipliers and derivations satisfying certain identities on P , generalizing some well-known results in the literature. Furthermore, an example is given to illustrate the necessity of our hypotheses.
引用
收藏
页码:353 / 361
页数:9
相关论文
共 50 条
  • [1] On derivations and commutativity in prime near-rings
    Ashraf, Mohammed
    Boua, Abdelkarim
    Raji, Abderrahmane
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2014, 8 (03): : 301 - 306
  • [2] Commutativity of near-rings with (σ, τ)-derivations
    Kamal, Ahmed A. M.
    Al-Shaalan, Khalid H.
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2013, 21 (01): : 121 - 141
  • [3] On some properties of near-rings
    Al-Shaalan, Khalid H.
    ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (01) : 21 - 29
  • [4] Jordan ideals and derivations in prime near-rings
    Boua, Abdelkarim
    Oukhtite, Lahcen
    Raji, Abderrahmane
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2014, 55 (02): : 131 - 139
  • [5] 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
  • [6] SOME IDENTITIES IN RINGS AND NEAR-RINGS WITH DERIVATIONS
    Boua, Abdelkarim
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (01): : 75 - 80
  • [7] SOME COMMUTATIVITY THEOREMS FOR NEAR-RINGS WITH LEFT MULTIPLIERS
    Boua, A.
    Abdelwanis, A. Y.
    Chillali, A.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2020, 44 (02): : 205 - 216
  • [8] Some algebraic identities in 3-prime near-rings
    En-guady, Adel
    Boua, Abdelkarim
    Raji, Abderrahmane
    ADVANCES IN PURE AND APPLIED MATHEMATICS, 2024, 15 (01) : 118 - 128
  • [9] (?, ?)-P-derivations on left near-rings
    Mouhssine, Samir
    Boua, Abdelkarim
    NOTE DI MATEMATICA, 2022, 42 (02): : 93 - 107
  • [10] Derivations, products of derivations, and commutativity in near-rings
    Bell, HE
    Argaç, N
    ALGEBRA COLLOQUIUM, 2001, 8 (04) : 399 - 407