@ARTICLE{10.21494/ISTE.OP.2023.1047, TITLE={Some algebraic identities in 3-prime near-rings}, AUTHOR={Adel En-guady , Abdelkarim Boua , Abderrahmane Raji, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={15}, NUMBER={Issue 1 (January 2024)}, YEAR={2024}, URL={http://openscience.fr/Some-algebraic-identities-in-3-prime-near-rings}, DOI={10.21494/ISTE.OP.2023.1047}, ISSN={1869-6090}, ABSTRACT={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.}}