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On (m, n)-Jordan derivations and commutativity of prime rings

Vukman J.

Demonstratio Mathematica

2008

Vol. 41, nr 4

773-778

On alfa-derivations of prime and semiprime rings

Vukman J.

Demonstratio Mathematica

2005

Vol. 38, nr 2

283--290

In this paper we investigate identities with alfa-derivations on prime and semiprime rings. We prove, for example, the following result. If D : R - R is an alfa-derivation of a 2 and 3-torsion free semiprime ring R such that [D(x},x2] = 0 holds, for all x is an element of R, then D maps R into its center. The results of this paper are motivated by the work of Thaheem and Samman [20].