On certain functional equation in prime ringsFošner, Maja (Avtor) Marcen, Benjamin (Avtor) Vukman, Joso (Avtor) prime ringderivationJordan derivationfunctional equationalgebraThe purpose of this paper is to prove the following result. Let R be prime ring of characteristic different from two and three, and let F:R→R be an additive mapping satisfying the relation F(x3)=F(x2)x−xF(x)x+xF(x2) for all x∈R. In this case, F is of the form 4F(x)=D(x)+qx+xq for all x∈R, where D:R→R is a derivation, and q is some fixed element from the symmetric Martindale ring of quotients of R.De Gruyter Open20222024-06-12 14:29:03Znanstveno delo89089sl