Titre : Some algebraic identities in 3-prime near-rings 

Auteurs : Adel En-guady
, Abdelkarim Boua
, Abderrahmane Raji,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Issue 1 (January 2024) 

Volume : 15 

Date : 2024/01/5 

DOI : 10.21494/ISTE.OP.2023.1047 

ISSN : 1869-6090 

Résumé : In this paper, we study the commutativity of 3-prime near-rings satisfying some differential identities on Jordan ideals involving certain additive maps. Some well-known results characterizing the commutativity of 3-prime nearrings by derivations and left multipliers are extended to right multipliers and left generalized derivations. Furthermore, an example is given showing the necessity of the 3-primeness mentioned in the assumptions of our theorems is given. 

Éditeur : ISTE OpenScience