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.
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页码：353 / 361
页数：9
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