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

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.

References in corpus (4)

• Generalized derivations of (color) n-ary algebras
• A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations
• Generalized Derivations of Hom-Lie Superalgebras
• Generalized derivations of n-Hom Lie superalgebras

Cited by in corpus (4)

• BiHom-Lie colour algebras structures
• $k$-Modules over linear spaces by $n$-linear maps admitting a multiplicative basis
• $n$-Ary generalized Lie-type color algebras admitting a quasi-multiplicative basis
• $\frac{1}{2}$-derivations of Lie algebras and transposed Poisson algebras