Functional equations related to higher derivations in semiprime rings

Abstract

We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation. Moreover, we study preservation of the center of the ring by a centrally extended higher derivation.

Keywords

• functional equations
• higher derivations
• semiprime rings
• central ideals
• 47b47
• 16w25
• 16n60