Equations related to derivations on prime ringsFošner, Maja (Avtor) Vukman, Joso (Avtor) matematikaprakolobarfunkcijska identitetaodvajanjemathematicsprime ringfunctional identityderivationIn this paper we prove the following result. Let ▫$m ge 0$▫ and ▫$nge 0$▫ be integers with ▫$m+n ne 0$▫ and let ▫$R$▫ be a prime ring with ▫$char(R)=0$▫ or ▫$m+n+1 le char(R) ne 2$▫. Suppose there exists a nonzero additive mapping ▫$D:R to R$▫ satisfying the relation ▫$D(x^{m+n+1}) = (m+n+1)x^m D(x)x^n$▫ for all ▫$x in R$▫. In this case ▫$D$▫ is a derivation and ▫$R$▫ is commutative.20112015-07-10 15:35:22Delo ni kategorizirano52021UDK: 512.552OceCobissID: 1036559COBISS_ID: 18432520ISSN pri članku: 0017-095XNUK URN: URN:SI:UM:DK:0GNNI8E6sl