Generalized derivations on ideals of prime rings

Abstract

Let R be a prime ring. By a generalized derivation we mean an additive mapping g W R ! R such that g.xy/ D g.x/y C xd.y/ for all x; y 2 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.