δ-derivations of n-ary algebras

Details δ-derivations of n-ary algebras δ-derivations of n-ary algebras

2011-07-22

arxiv.org/abs/1107.4427v1

Mathematics

Rings and Algebras

12 pages

Scientific paper

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.

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