Abstract: In 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 ▫$F_2 = 0$▫.Keywords: matematika, prakolobar, polprakolobar, odvajanje, posplošeno odvajanje, mathematics, prime ring, semiprime ring, derivation, generalized derivationPublished in DKUM: 10.07.2015; Views: 1212; Downloads: 110 Link to full text
