摘要

In this paper we prove the following result: let m, n >= 1 be distinct integers, let R be an mn(m + n)vertical bar m - n vertical bar-torsion free semiprime ring and let D : R -> R be an (m, n)-Jordan derivation, that is an additive mapping satisfying the relation (m + n)D(x(2)) = 2mD(x)x + 2nxD(x) for x is an element of R. Then D is a derivation which maps R into its centre.

  • 出版日期2016-4