3. Some Results on 3-Prime Near-Rings Involving Derivations

1Usman A., 2Garba A. I., 2Magami M. S., 2Almu A. and 1Sayyadi N. Pages 15-18
1 Department of Mathematics and Statistics, Umaru Musa Yar’adua University, P.M.B. 2218 Katsina, Nigeria.
2 Department of Mathematics, Usmanu Danfodiyo University, P.M.B. 2346 Sokoto, Nigeria.

Abstract

This research work deals some new results on near-rings through derivations and present the commutativity of a 3-prime near-ring satisfying some differential and algebraic identities on nonzero Jordan ideals of 2-torsion free involving derivations by considering two derivations instead of one derivation and also prove some result on special class of near-rings with suitable constraints of its subsets.

Keywords: Derivation, 3-prime near-rings, 2-torsion free, Jordan ideal.