On 2-Commutative Derivations of Semi-prime Rings

Othman Al-Basheer

Sudan University of Science and Technology, Faculty of Science, Khartoum, Sudan

Abstract

The main purpose of this paper is to study some results concerning the generalized derivation D defined on semi-prime ring R, we obtain a derivation d which commuting and 2-commuting on R. Also, we present many examples to clarify the validity of our work.

Keywords: ring; semi-prime ring; commutative ring; derivation