ON RIGHT GENERALIZED (α, β)-DERIVATIONS IN PRIME RINGS

Mohammad Tammam El-Sayiad, Najat Muthana, Zakeyah Alkhamisi

Abstract


Breˇsar proved that the only semiderivations of prime rings are derivations and mappings of the form D(x) = λ(x − α(x)), where α is an endomorphism and λ is an element in the extended centroid. De Filippis, Mamouni and Oukhtite extended this result to generalized semiderivations. The aim of this note is to extend their results to right generaliged (α, β)-derivations with reduction of some conditions, where α is an epimorphism and β is an endomorphism.

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