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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:
 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.)
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##### References:
 [1] A. G. Kurosh, ?Free sums of multioperator algebras,? Sib. Mat. Zh., No. 1, 62-70 (1960). · Zbl 0096.25304 [2] A. G. Kurosh, ?Multioperator rings and algebras,? Usp. Mat. Nauk,24, No. 1, 3-15 (1969). · Zbl 0204.35701 [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). · Zbl 0271.08001 [7] N. Jacobson, Lie Algebras [Russian translation], Mir, Moscow (1969). · Zbl 0253.17013 [8] M. Goto and F. Grosshans, Semisimple Lie Algebras [Russian translation], Mir, Moscow (1981). · Zbl 0528.17001 [9] V. T. Filippov, ?On one generalization of Lie algebras,? Preprint No. 64, Mathematics Inst., Siberian Branch, Acad. Sci. of the USSR, Novosibirsk (1984).
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