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

Authors

  • Abderrahmane Raji
  • Mohamed Oukessou
  • Abdelkarim Belharrate

DOI:

https://doi.org/10.1285/i15900932v42n2p43

Keywords:

prime near-rings, multiplicative derivations, commutativity

Abstract

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.

Downloads

Published

12-04-2023

Issue

Volume 42, issue 2 (2022)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode