On Higher gn, hn-derivations
Abstract
In this article, we introduce the concepts of higher gn, hn-derivation and Jordan higher gn, hn-derivation, and then we give a characterization of higher gn, hn-derivations in terms of g, h-derivations. Using this result, we prove that every Jordan higher gn, hn-derivation on a semiprime algebra is a higher gn, hn-derivation.
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