(n + 1)-ary Derivations of Semisimple Filippov algebras

摘要

The structure of generalized and (n + 1)-ary derivations of simple and semisimple finite-dimensional Filippov algebras over an algebraically closed field of characteristic zero is described. An example of a semisimple ternary Mal'tsev algebra is given which is not a Filippov algebra and admits a nontrivial 4-ary derivation.