On some equations related to derivations in ringsVukman, Joso (Avtor) Kosi-Ulbl, Irena (Avtor) mathematicsalgebraassociative rings and algebrasderivationsprime ringssemiprime ringsLet ▫$m$▫ and ▫$n$▫ be positive integers with ▫$m+n?0$▫, and let ▫$R$▫ be an ▫$(m+n+2)!$▫-torsion free semiprime ring with identity element. suppose there exists an additive mapping ▫$D:R? R$▫, such that ▫$D (x m+n+1)=(m+n+1)xmD (x)xn$▫ is fulfilled for all ▫$x?R$▫, then ▫$D$▫ is a derivation which maps $▫R$▫ into its center.20052017-06-14 12:13:25Članek v reviji66195ISSN: 0161-1712UDK: 512.552OceCobissID: 25648128COBISS_ID: 14298632DOI: 10.1155/IJMMS.2005.2703ISSN pri članku: 0161-1712NUK URN: URN:SI:UM:DK:JHDCOB8Fsl