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arXiv · 1506.00734

Generalized derivations of (color) n-ary algebras

Ivan Kaygorodov·Yury Popov
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Abstract

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

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Ivan Kaygorodov, Yury Popov. 2015-06-02. Generalized derivations of (color) n-ary algebras. https://doi.org/10.1080/03081087.2015.1072492

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