Original Articles

Higher Derivations and a Theorem By Herstein

Published in: Quaestiones Mathematicae
Volume 25 , issue 2 , 2002 , pages: 249–257

DOI: 10.2989/16073600209486012

Author(s): Miguel Ferrero , Claus Haetinger

Keywords: HIGHER DERIVATIONS , LIE IDEALS , SEMIPRIME RINGS

Abstract

In this paper we extend to the higher derivations a well-known result proved by Herstein concerning derivations in prime rings. We prove results which imply that every Jordan higher derivation of a 2-torsion-free semiprime ring is a higher derivation.

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