• REVERSE DERIVATIONS IN PRIME RINGS WITH RIGHT IDEALS

Abstract

In this paper we present some results on the reverse derivations in prime rings with right ideals. We prove that if a reverse derivation d acts as a homomorphism or an antihomomorphism on a nonzero right ideal U of a prime ring R, then d = 0. Also, we show that if [d(x), x] = 0 or [d(x), d(y)]=0 or [d(x), d(y)] = [x,y] for all x,y ÎU, then R is commutative.