* Derivations in Nearrings

Dr. D. Bharathi, K. Sreenivasulu

Abstract: Let N be a non-commutative prime nearing, U be a nonzero semi group ideal of N, and D?0, a * derivation associated with D of N such that D [x, y]- [x, y]=0 for all x, y?U. Then F is trivial and D [x, y]+ [x, y]=0, for all x, y?U. Then D is trivial.

Keywords: derivations, * derivations, nearrings, associative and prime nearrings