On dependent elements in ringsVukman, Joso (Avtor) Kosi-Ulbl, Irena (Avtor) mathematicsalgebraringsalgebrasderivationJordan derivationleft centralizerright centralizeradditive mappingdependent elementsLet R be an associative ring. An element ▫$a\in R$▫ is said to be dependent on a mapping ▫$F:R\to R$▫ in case ▫$F(x)a=ax$▫ holds for all ▫$x\in R$▫. In this paper, elements dependent on certain mappings on prime and semiprime rings are investigated. We prove, for example, that in case we have a semiprime ring R, there are no nonzero elements which are dependent on the mapping ▫$\alpha + \beta$▫, where an ▫$\alpha$▫ and ▫$\beta$▫ are automorphisms of R20042017-06-14 12:08:40Članek v reviji66194ISSN: 0161-1712UDK: 512.552OceCobissID: 25648128COBISS_ID: 13796360DOI: 10.1155/S0161171204311221ISSN pri članku: 0161-1712NUK URN: URN:SI:UM:DK:OQQZ33RZsl