\(n\)-Lie algebras. (English) Zbl 0594.17002

Filippov, V. T.

Sib. Math. J. 26, 879-891 (1985).

Translation from Sib. Mat. Zh. 26, No. 6(154), 126–140 (Russian) (1985; Zbl 0585.17002).

MSC:

17A42	Other \(n\)-ary compositions \((n \ge 3)\)
17A36	Automorphisms, derivations, other operators (nonassociative rings and algebras)
17A65	Radical theory (nonassociative rings and algebras)
17B60	Lie (super)algebras associated with other structures (associative, Jordan, etc.)

Keywords:

linear omega-algebras; n-ary multilinear operation; prime; characteristic not two; inner derivations; n-Lie algebra; anticommutative; n-ary operation; polynomial algebra; radicals; characteristic zero; non-solvable n-Lie algebras

Citations:

Zbl 0585.17002

References:

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[9]	V. T. Filippov, ?On one generalization of Lie algebras,? Preprint No. 64, Mathematics Inst., Siberian Branch, Acad. Sci. of the USSR, Novosibirsk (1984).