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A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations
Moens proved that a finite-dimensional Lie algebra over field of
characteristic zero is nilpotent if and only if it has an invertible
Leibniz-derivation. In this article we prove the analogous results for
finite-dimensional Malcev, Jordan, (-1,1)-, quasiassociative, quasialternative,
right alternative and Malcev-admissible noncommutative Jordan algebras over the
field of characteristic zero. Also, we describe all Leibniz-derivations of
semisimple Jordan, right alternative and Malcev algebras
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