Additivity of Multiplicative Mixed Skew Lie(Jordan)Derivations on Prime*-Rings
Let R be a 2-torsion free unital prime*-ring containing a nontrivial projection.In order to study the additivity of multiplicative mixed skew Lie(Jordan)derivations on R,using method of algebraic decomposition,we proved that every multiplicative mixed skew Lie(Jordan)derivation on R is an automatically additive mapping.As an application,it is proved that every multiplicative mixed skew Lie(Jordan)derivation on factor von Neumann algebras is 0.These enriched the content and conclusions of multiplicative mappings.
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