Commutativity of some factor rings arising from additive mappings

被引：0
|
作者：
Bouchannafa, Karim [1 ]
Idrissi, My Abdallah [2 ]
Oukhtite, Lahcen [1 ]
机构：
[1] Technol Univ S M Ben Abdellah, Fac Sci, Dept Math, Fes, Morocco
[2] Sultan Moulay Slimane Univ, Dept Math & Informat, Polydisciplinary Fac, Box 592, Beni Mellal, Morocco
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 08期
关键词：
Ring; prime ideal; generalized derivations; commutativity; DERIVATIONS;
D O I：
10.1142/S1793557123501516
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to study certain central-valued identities on a factor ring with respect to a prime ideal P of a ring R, involving some specific mappings of R. In addition, examples are given to demonstrate that the constraints imposed in the assumptions of our theorems are not superfluous.
引用
收藏
页数：12
相关论文
共 50 条
  • [41] SOME COMMUTATIVITY RESULTS FOR RINGS WITH 2-VARIABLE CONSTRAINTS
    BELL, HE
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 53 (02) : 280 - 284
  • [42] 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
  • [43] Additive maps preserving commutativity up to a factor on nest algebras
    Jiao, Meiyan
    Qi, Xiaofei
    LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (06): : 1242 - 1256
  • [44] ADDITIVE MAPPINGS SATISFYING CERTAIN ALGEBRAIC EQUATIONS IN PRIME RINGS
    El Mir, Hajar
    Mamouni, Abdellah
    Oukhtite, Lahcen
    MISKOLC MATHEMATICAL NOTES, 2023, 24 (03) : 1329 - 1336
  • [45] ALMOST BUCHSBAUMNESS OF SOME RINGS ARISING FROM COMPLEXES WITH ISOLATED SINGULARITIES
    Sawaske, Connor
    JOURNAL OF COMMUTATIVE ALGEBRA, 2020, 12 (01) : 115 - 133
  • [46] SOME BOUNDS FOR THE DOMINATION NUMBER OF A CLASS OF GRAPHS ARISING FROM RINGS
    Chin, A. Y. M.
    Kiani, S.
    Maimani, H. R.
    Pournaki, M. R.
    UTILITAS MATHEMATICA, 2020, 117 : 159 - 168
  • [47] Some additive Galois cohomology rings
    Künzer, M
    Weber, H
    COMMUNICATIONS IN ALGEBRA, 2005, 33 (12) : 4415 - 4455
  • [48] SOME COMMUTATIVITY THEOREMS OF PRIME RINGS WITH GENERALIZED (sigma, tau)-DERIVATION
    Golbasi, Oznur
    Koc, Emine
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 26 (03): : 445 - 454
  • [49] Some commutativity criteria for prime rings with differential identities on Jordan ideals
    Mamouni, A.
    Oukhtite, L.
    Nejjar, B.
    Al Jaraden, J. J.
    COMMUNICATIONS IN ALGEBRA, 2019, 47 (01) : 355 - 361
  • [50] Some commutativity criteria for 3-prime near-rings
    Raji, A.
    ALGEBRA AND DISCRETE MATHEMATICS, 2021, 32 (02): : 280 - 298
12345