Abstract

Let R be a prime ring of characteristic ≠2 with a derivation d≠0, L a noncentral Lie ideal of R such that [d(u),u]ⁿ is central, for all u in L. We prove that R must satisfy s₄ the standard identity in 4 variables. We also examine the case R is a 2-torsion free semiprime ring and [d([x,y]),[x,y]]ⁿ is central, for all x,y in R.

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