7 research outputs found
\delta-derivations of n-ary algebras
We defined \delta-derivations of n-ary algebras. We described
\delta-derivations of (n+1)-dimensional n-ary Filippov algebras and simple
finite-dimensional Filippov algebras over algebraically closed field zero
characteristic, and simple ternary Malcev algebra M_8. We constructed new
examples of non-trivial \delta-derivations of Filippov algebras and new
examples of non-trivial antiderivations of simple Filippov algebras.Comment: 12 page