Abstract
Let R be a prime ring, L a noncentral Lie ideal of R, F a generalized derivation with associated nonzero derivation d of R. If a is an element of R such that a(d(u)(l1) F(u)(l2) d(u)(l3) F(u)(l4) ... F(u)(lk))(n) = 0 for all u is an element of L, where l(1), l(2), ... , l(k) are fixed non negative integers not all are zero and n is a fixed integer, then either a = 0 or R satisfies s4, the standard identity in four variables.