Ivan Kaygorodov
Sobolev Institute of Mathematics, Russia / IME-USP
(n+1)-Ary derivations of n-ary algebras.
Abstract: Ternary derivation, as generalization of usual derivation, was introduced by J.M. Pérez-Izquierdo and C.Jiménez-Gestal. We consider analogue of ternary derivation for n-ary algebras. We describe (n+1)-ary derivations of semisimple Filippov algebras and simple ternary Malcev algebra M8.