Semiderivations with Power Values on Lie Ideals in Prime Rings

Abstract

Let R be a prime ring, let L a noncentral Lie ideal, and let f be a nonzero semiderivation associated with an automorphism σ such that f(u) ⁿ  = 0 for all u ∈ L; where n is a fixed positive integer. If either Char R > n + 1 or Char R = 0; then R satisfies s ₄; the standard identity in four variables.