On symmetric left bi-(σ,t)‎-derivation on gamma rings

Abstract EN

In this paper ,we introduce the concept of symmetric left bi- (σ,σ )- derivation on gamma rings and study this concept on completely prime Gamma ring also we study it if acts as homomorphism and we show that if D nonzero Jordan left bi- (σ,σ )derivation on 2-torsion free completely prime gamma ring M then M is commutative or D be left bi- (σ,σ ) derivation.