On ∗-(σ, τ)-Lie ideals of ∗-prime rings with derivation

Let R be a ∗−prime ring with characteristic not 2, U be a nonzero ∗ − (σ, τ )−Lie ideal of R and d be a nonzero derivation of R. Suppose σ, τ be two automorphisms of R such that σd = dσ, τ d = dτ and ∗ commutes with σ, τ, d. In the present paper it is shown that if d2(U) = (0), then U ⊆ Z.