Right (σ, τ)‎-derivations on left ideals

الملخص EN

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).