(n+1)-Ary derivations os semisimple Filippov algebras
  We defined (n+1)-ary derivations of $n$-ary algebras. We described (n+1)-derivations of simple and semisimple finite-dimensional Filippov algebras over algebraically closed field zero characteristic. We constructed new examples of non-trivial (n+1)-ary derivations of Filippov algebras. 
Ivan Kaygorodov
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