Generalized derivations of (color)n-ary algebras

2015/08/12 by Ivan Kaygorodov, Yury Popov · 5 citations
Mathematics · Biochemistry, Genetics and Molecular Biology · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Sphingolipid Metabolism and Signaling

paper · doi:10.1080/03081087.2015.1072492

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

Cited by

• Generalized Derivations and Rota-Baxter Operators of \varvecn-ary Hom-Nambu Superalgebras
• Quasi-derivations of Witt and related algebras
• Double derivations of n-Hom-Lie color algebras
• BiHom-Lie colour algebras structures
• Generalized derivations of Complex ω-Lie Superalgebras

Related

• n-dervations of Lie color algebras
• Extended derivations of algebras
• Generalized δ-Derivations
• Simple Lie Color Algebras of Weyl Type
• Additive Lie (ξ-Lie) Derivations and Generalized Lie (ξ-Lie) Derivations on Prime Algebras