GENERALIZED REVERSE DERIVATIONS ON SEMIPRIME RINGS

Abstract

In this paper we extend our ideas from reverse derivation towards the Generalized reverse derivations on semiprime rings. In this Paper, we prove that if d is a non-zero reverse derivation of a semi prime ring R and f is a generalized reverse derivation, then �� is a strong commutativity preserving. Using this, we prove that R is commutative.