Abstract
Let R be a prime ring of char R ≠ 2 with a nonzero derivation d and let U be its noncentral Lie ideal. If for some fixed integers n 1 ⩾ 0, n 2 ⩾ 0, n 3 ⩾ 0, (u n1 [d(u), u]u n2)n3 ∈ Z(R) for all u ∈ U, then R satisfies S 4, the standard identity in four variables.
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