Semiprime Rings with Multiplicative Generalized Derivations on Lie Ideals
Abstract
Let be a torsion free semiprime ring. In [10], a map is called a multiplicative
generalized derivation if there exists a map such that for all . Let be a noncentral square-closed Lie
ideal of and multiplicative generalized
derivations associated to the maps of respectively such that and for all
In the present paper, we shall prove that is commuting map on if any one of the following
holds: i) ii) If any one of the
conditions iii) and iv) for all are satisfied,
Keywords
Semiprime ring,multiplicative generalized derivation,generalized derivation,Lie ideal
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