Semigroup ideals with multiplicative semiderivations and commutativity of 3-prime near-rings

被引：0

作者：

Raji, Abderrahmane ^{[1
]}

Oukessou, Mohamed ^{[1
]}

Belharrate, Abdelkarim ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Fac Sci & Technol Beni Mellal, LMACS Lab, POB 523, Beni Mellal 23000, Morocco

来源：

NOTE DI MATEMATICA | 2022年 / 42卷 / 02期

关键词：

prime near-rings; multiplicative derivations; commutativity; DERIVATIONS;

D O I：

10.1285/i15900932v42n2p43

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we introduce the notion of multiplicative semiderivation and prove some theorems in the setting of a semigroup ideal of a 3-prime near-ring admitting a multiplicative semiderivation. Thereby, it is shown that under appropriate additional hypotheses a near-ring must be a commutative ring. Furthermore, an example is given to illustrate that the 3-primeness hypothesis is not superfluous.

引用

页码：43 / 52

页数：10

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