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On some equations related to derivations in rings

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  • Joso Vukman
  • Irena Kosi-Ulbl

Abstract

Let m and n be positive integers with m + n ≠0 , and let R be an ( m + n + 2 ) ! -torsion free semiprime ring with identity element. Suppose there exists an additive mapping D : R → R , such that D ( x m + n + 1 ) = ( m + n + 1 ) x m D ( x ) x n is fulfilled for all x ∈ R , then D is a derivation which maps R into its center.

Suggested Citation

  • Joso Vukman & Irena Kosi-Ulbl, 2005. "On some equations related to derivations in rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:161546
    DOI: 10.1155/IJMMS.2005.2703
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