On [(m, n)]-Jordan derivations and commutativity of prime ringsVukman, Joso (Avtor) prime ringsderivationJordan derivationcommutativityThe purpose of this paper is to prove the following result. Let ▫$ m\geq\ge 1$▫, ▫$n \geq\ge 1$▫ be some fixed integers with ▫$m \ne n$▫, and let R be a prime ring with ▫$char (R) \ne 2mn (m+n) l, \vert m-n l, \vert$▫. Suppose there exists a nonzero additive mapping ▫$D : R \to R$▫ satisfying the relation ▫$(m + n)D(x^2) = 2mD(x)x + 2nxD(x)$▫ for all ▫$x \in R ((m,n)-Jordan derivation)$▫. If either ▫$char(R) = 0$▫ or ▫$char(R) \geq 3$▫ then D is a derivation and R is commutative.Warsaw University of Technology20082017-03-31 09:42:03Znanstveno delo65329ISSN: 0420-1213UDK: 517.2OceCobissID: 14069256COBISS_ID: 16481032ISSN pri članku: 0420-1213NUK URN: URN:SI:UM:DK:ITL1XC4Asl