Identities with generalized derivations in prime ringsFošner, Maja (Avtor) Vukman, Joso (Avtor) matematikaprakolobarpolprakolobarodvajanjeposplošeno odvajanjemathematicsprime ringsemiprime ringderivationgeneralized derivationIn this paper we investigate identities with two generalized derivations in prime rings. We prove, for example, the following result. Let ▫$R$▫ be a prime ring of characteristic different from two and let ▫$F_1, F_2 colon R to R$▫ be generalized derivations satisfying the relation ▫$F_1(x)F_2(x) + F_2(x)F_1(x) = 0$▫ for all ▫$x in R$▫. In this case either ▫$F_1 = 0$▫ or ▫$F_2 = 0$▫.20122015-07-10 15:35:24Delo ni kategorizirano52023sl