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n-Lie algebras. (English) Zbl 0594.17002
Translation from Sib. Mat. Zh. 26, No.6(154), 126-140 (Russian) (1985; Zbl 0585.17002).

MSC:
17A42Other n-ary compositions (n3)
17A36Automorphisms, derivations, other operators
17A65Radical theory
References:
[1]A. G. Kurosh, ?Free sums of multioperator algebras,? Sib. Mat. Zh., No. 1, 62-70 (1960).
[2]A. G. Kurosh, ?Multioperator rings and algebras,? Usp. Mat. Nauk,24, No. 1, 3-15 (1969).
[3]T. M. Baranovich and M. S. Burgin, ?Linear ?-algebras,? Usp. Mat. Nauk,30, No. 4, 61-106 (1975).
[4]B. A. Rozenfel’d, Spaces of Higher Dimensions [in Russian], Nauka, Moscow (1966).
[5]N. V. Efimov and E. R. Rozenforn, Linear Algebra and Multidimensional Geometry [in Russian], Nauka, Moscow (1974).
[6]A. G. Kurosh, Lectures in General Algebra [in Russian], Nauka, Moscow (1973).
[7]N. Jacobson, Lie Algebras [Russian translation], Mir, Moscow (1969).
[8]M. Goto and F. Grosshans, Semisimple Lie Algebras [Russian translation], Mir, Moscow (1981).
[9]V. T. Filippov, ?On one generalization of Lie algebras,? Preprint No. 64, Mathematics Inst., Siberian Branch, Acad. Sci. of the USSR, Novosibirsk (1984).