Argac, NurcanDe Filippis, Vincenzo2019-10-272019-10-2720100019-5588https://doi.org/10.1007/s13226-010-0029-6https://hdl.handle.net/11454/43799Let R be a prime ring with charR not equal 2, L a non-central Lie ideal of R, d,g non-zero derivations of R, n >= 1 a fixed integer. We prove that if (d(x)x - xg(x))(n) = 0 for all x is an element of L, then either d = g = 0 or R satisfies the standard identity 84 and d, g are inner derivations, induced respectively by the elements a and b such that a + b is an element of Z(R).en10.1007/s13226-010-0029-6info:eu-repo/semantics/closedAccessPrime ringsDifferential identitiesGeneralized derivationsArticle413475483WOS:000280877100003Q4