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IMCS/Publications/BASM/Issues/BASM n.2 (33), 2000/

On nilpotency of finite-generated 3-Lie algebras. (Russian)

Authors: Sandu N. I.

Abstract

It is proved that the free $n$-generated $3$-Lie algebra over the ring of characteristic 3 (respect. $\neq 3$) variety, determined by the identities (3), (4) (respect. by identity (3)) is nilpotent of index $n - 1$ (respect. $\leq \left[{n - 1}\over 2 \right] + 1$).

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