Abstract
Let R be a prime ring of characteristic not equal to 2 or 3 and let L be a noncentral Lie ideal of R. Suppose that σ is a Lie automorphism on L such that σ4 is not the identity map. Then the additive subgroup generated by the set {[x σ, x] ∣ x ∈ L} contains a noncentral Lie ideal of R.
Acknowledgment
The author would like to express her sincere thanks to professors Chebotar and Ke for valuable discussions and their help in writing this paper.