Albas, EmineArgac, NurcanDe Filippis, Vincenzo2019-10-272019-10-2720180354-51800354-5180https://doi.org/10.2298/FIL1804285Ahttps://hdl.handle.net/11454/31118Let R be a non-commutative prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, L a non-central Lie ideal of R, Gamma and G two non-zero generalized derivations of R. If [F(u), u] G(u) = 0 for all u is an element of L, then one of the following holds: (a) there exists lambda is an element of C such that F(x) = lambda x, for all x is an element of R; (b) R subset of M-2(F), the ring of 2 X 2 matrices over a field F, and there exist a 2 U and lambda is an element of C such that F( x) = ax + xa + lambda x, for all x is an element of R.en10.2298/FIL1804285Ainfo:eu-repo/semantics/closedAccessPolynomial identitygeneralized polynomial identityderivationgeneralized derivation(semi-)prime ringArticle32412851301WOS:000444106200014Q2