An equation related to two-sided centralizers in prime ringsFošner, Maja (Avtor) Vukman, Joso (Avtor) matematikaalgebraprakolobarfunkcijska identitetadvostranski centralizatormathematicsprime ringfunctional identitytwo-sided centralizerThe purpose of this paper is to prove the following result. Let ▫$m$▫ and ▫$n$▫ be positive integers, and let ▫$R$▫ be a prime ring with char▫$(R)=0$▫ or ▫$m+n+1 le char(R)$▫. Let ▫$T colon R to R$▫ be an additive mapping satisfying the relation ▫$T(x^{m+n+1}) = {x^m}T(x)x^n$▫ for all ▫$x in R$▫. In this case ▫$T$▫ is a two-sided centralizer.20112015-07-10 15:35:23Delo ni kategorizirano52022UDK: 512.552.3OceCobissID: 26332416COBISS_ID: 18547208DOI: 10.1216/RMJ-2011-41-3-765ISSN pri članku: 0035-7596NUK URN: URN:SI:UM:DK:DORXWYKDsl