On centralizers of semiprime rings

• Autores: Joso Vukman, Irena Kosi-Ulbl
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 66, Nº. 3, 2003, págs. 277-283
• Idioma: inglés
• DOI: 10.1007/s00010-003-2681-y
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• Resumen

  • The main result of this paper is the following. Let R be a 2-torsion free semiprime ring and let $ T : R \rightarrow R $ be an additive mapping such that $ 2T(xyx) = T(x)yx + xyT(x) $ holds for all $ x,y \in R $. Then T is a centralizer.