On derivations of prime and semi-prime Gamma rings

Abstract

The concept of $\Gamma$-ring is a generalization of ring. Two important classes of $\Gamma$-rings are prime and semi-prime $\Gamma$-rings. In this paper, we consider the concept of derivations on prime and semi-prime $\Gamma$-rings and we study some of their properties.

Keywords

• $\Gamma$-ring
• derivation
• bi-$(\sigma , \tau )$ derivation
• trace