Generalized derivations of (color)<i>n</i>-ary algebras

Abstract

We generalize the results of Leger and Luks about generalized derivations of Lie algebras to the case of color -ary -algebras. Particularly, we prove some properties of generalized derivations of color -ary algebras; prove that a quasi-derivation algebra of a color -ary -algebra can be embedded into the derivation algebra of a larger color -ary -algebra, and describe (anti)commutative -ary algebras satisfying the condition