Generalized derivations of (color) n-ary algebras

Author(s)

Kaygorodov, Ivan ^{[1, 2, 3]} ; Popov, Yury ^{[1, 4]}

Affiliation

^[1] Sobolev Inst Math, Novosibirsk - Russia

^[2] Univ Sao Paulo, IME, Sao Paulo - Brazil

^[3] Univ Fed ABC, CMCC, Santo Andre - Brazil

^[4] Novosibirsk State Univ, Mech & Math, Novosibirsk 630090 - Russia

• Document type: Journal article
• Source: LINEAR & MULTILINEAR ALGEBRA; v. 64, n. 6, p. 1086-1106, JUN 2 2016.
• Web of Science Citations: 6

Abstract

We generalize the results of Leger and Luks about generalized derivations of Lie algebras to the case of color {[}GRAPHICS] -ary {[}GRAPHICS] -algebras. Particularly, we prove some properties of generalized derivations of color {[}GRAPHICS] -ary algebras; prove that a quasi-derivation algebra of a color {[}GRAPHICS] -ary {[}GRAPHICS] -algebra can be embedded into the derivation algebra of a larger color {[}GRAPHICS] -ary {[}GRAPHICS] -algebra, and describe (anti)commutative {[}GRAPHICS] -ary algebras satisfying the condition {[}GRAPHICS] (AU)

• FAPESP's process: 14/24519-8 - Generalized derivations of non associative algebras and superalgebras
• Grantee: Ivan Kaygorodov
• Support Opportunities: Regular Research Grants