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arXiv · 1609.07396

Generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color algebras

Patricia Damas Beites·Ivan Kaygorodov·Yury Popov
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Abstract

We generalize the results of Leger and Luks, Zhang R. and Zhang Y.; Chen, Ma, Ni, Niu, Zhou and Fan; Kaygorodov and Popov about generalized derivations of color $n$-ary algebras to the case of $n$-ary Hom-$\Omega$ color algebras. Particularly, we prove some properties of generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color algebras. Moreover, we prove that the quasiderivation algebra of any multiplicative $n$-ary Hom-$\Omega$ color algebra can be embedded into the derivation algebra of a larger multiplicative n-ary Hom-$\Omega$ color algebra.

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Patricia Damas Beites, Ivan Kaygorodov, Yury Popov. 2016-09-23. Generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color algebras. https://doi.org/10.1007/s40840-017-0486-8

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