RIGHT (σ,τ)-DERIVATIONS ON LEFT IDEALS

Abstract

Let R be a prime ring and I a nonzero left Ideal of R which is a semi prime as a ring. For a right (σ,τ) – derivations δ:R → R, we prove the following results:(1) If δ acts as a homomorphism on I, then δ= 0 on R.(2) If δ acts as an anti- homomorphism on I, then either δ = 0 on R or I Z(R).