On some equations related to derivations in rings

Joso Vukman and Irena Kosi-Ulbl

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:161546

DOI: 10.1155/IJMMS.2005.2703

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