GENERALIZED DERIVATIONS ON IDEALS OF PRIME RINGS

Let R be a prime ring. By a generalized derivation we mean an additive mapping g : R -> R such that g(xy) = g(x)y + xd(y) for all x, y is an element of R where d is a derivation of R. In the present paper our main goal is to generalize some results concerning derivations of prime rings to generalized derivations of prime rings.