* Derivations in Prime Gamma Nearrings

Dr. D. Bharathi, K. Sreenivasulu

Abstract: Let N be a prime ?-nearring of a 2-torsion free and let D1 and D2 be a * derivations with the condition D1(a)?D2(b)=D2(b)?D1(a) for all a, b?N and ??? on N. Then D1D2 is a * derivation on N if and only if either D1=0 or D2=0.

Keywords: * derivation, ?-nearring, 2-torsion free