Some results concerning additive mappings and derivations on semiprime rings

• Autores: Ajda Fosner, Joso Vukman
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 3-4, 2011, págs. 575-581
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4792
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let R be a 2-torsion free semiprime ring and let f : R ! R be an additive mapping satisfying the relation [f(x); x2] = 0 for all x 2 R. We prove that in this case [f(x); x] = 0 holds for all x 2 R. This result makes it possible to prove the following result. Let R be a 2-torsion free semiprime ring and let D;G : R ! R be derivations.

    Suppose that the relation [D2(x) + G(x); x2] = 0 holds for all x 2 R. Then D and G both map R into its center.