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

Sociocultural factors and drug use

Norms and values are particularly relevant when considering how to use drugs, and very often a set of visibly contradictory norms and values define conditions such as:- which drugs are acceptable for use;- who is allowed to use the substances;- where and where the drugs should/should be used;- which style of behaviour related to the use of psychoactive substances is allowed and acceptable