A result concerning derivations in prime ringsFošner, Maja (Avtor) Peršin, Nina (Avtor) prakolobarpolprakolobarodvajanjejordansko odvajanjejordansko trojno odvajanjefunkcijska identitetaprime ringsemiprime ringderivationJordan derivationJordan triple derivationfunctional identityA classical result of Herstein asserts that any Jordan derivation on a prime ring of characteristic different from two is a derivation. It is our aim in this paper to prove the following result, which is in the spirit of Herstein's theorem. Let ▫$R$▫ be a prime ring with ▫$text{char}(R) = 0$▫ or ▫$4 < text{char}(R)$▫, and let ▫$D colon R to R$▫ be an additive mapping satisfying either the relation ▫$D(x^3) = D(x^2)x + x^2D(x)$▫ or the relation ▫$D(x^3) = D(x)x^2 + xD(x^2)$▫ for all ▫$x in R$▫. In both cases ▫$D$▫ is a derivation.20132015-07-10 12:33:34Delo ni kategorizirano49939sl