Baydar Yarbil, NihanDe Filippis, Vincenzo2020-12-012020-12-0120200308-10871563-51390308-10871563-5139https://doi.org/10.1080/03081087.2020.1773376https://hdl.handle.net/11454/62261Let R be a prime ring of characteristic different from 2, U the Utumi quotient ring of R, C the extended centroid of R, F and G non-zero generalized derivations of R and f (x(1),..., x(n)) a multilinear polynomial over C. Suppose that f (x(1),..., x(n)) is not central valued on R, and R does not embed in M-2(K), the algebra of 2 x 2 matrices over a field K. We describe all possible forms of F and G in the case [f(g(f(r(1) ...r(n)))), f(r(1),...,r(n))] = 0 for any r(1),..., r(n) is an element of R.en10.1080/03081087.2020.1773376info:eu-repo/semantics/closedAccessGeneralized derivationprime ringArticleWOS:0005420227000012-s2.0-85087088654N/AQ1