On generalized Jordan triple ([alpha], [beta]) [sup] [ast]-derivations and related mappingsAli, Shakir (Avtor) Fošner, Ajda (Avtor) Fošner, Maja (Avtor) Khan, Mohammad Salahuddin (Avtor) mathematicsalgebrasemiprime ▫$\ast$▫-ring▫$H^\ast$▫-algebraJordan triple ▫$(\alpha\beta)^\ast$▫-derivationgeneralized Jordan triple ▫$(\alpha\beta)^\ast$▫-derivationJordan triple left ▫$\alpha^\ast$▫-centralizerLet ▫$R$▫ be a 2-torsion free semiprime ▫$\ast$▫-ring and let ▫$\alpha, \beta$▫ be surjective endomorphisms of ▫$R$▫. The aim of the paper is to show that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation on ▫$R$▫ is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫-derivation. This result makes it possible to prove that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation on a semisimple ▫$H^\ast$▫-algebra is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫-derivation. Finally, we prove that every Jordan triple left ▫$\alpha^\ast$▫-centralizer on a 2-torsion free semiprime ring is a Jordan left ▫$\alpha^\ast$▫-centralizer.20132013-10-15 12:06:18Delo ni kategorizirano1697ISSN: 1660-5446UDK: 512.552COBISS.SI-ID: 16660825sl