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

Abstract

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,τd = dτ and ∗ commutes with σ,τ,d. In the present paper it is shown that if d2(U) = (0), then U ⊆ Z.