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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
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Kaygorodov et al. (2015) studied this question.
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