107 research outputs found
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
-superderivations of semisimple Jordan superalgebras
We described -derivations and -superderivations of simple and
semisimple finite-dimensional Jordan superalgebras over algebraic closed fields
with characteristic . We constructed new examples of 1/2-derivations
and 1/2-superderivations of simple Zelmanov's superalgebra Comment: 9 pages [in Russian
- …