(n + 1)-ary derivations of semisimple Filippov algebras |
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| Authors: | I B Kaygorodov |
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| Institution: | 1. Sobolev Institute of Mathematics, Novosibirsk, Russia Universidade de S?o Paulo, Instituto de Matemática e Estatística, S?o Paulo, Brazil
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| Abstract: | 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. |
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