Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
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. $\leq \left[{n - 1}\over 2 \right] + 1$).Universitatea de Stat Agrară din Moldova
str. Mirceşti 44, MD-2049 Chişinău, Moldova
str. Mirceşti 44, MD-2049 Chişinău, Moldova
Contents
- On identities and equations in Post algebras. (English)
- On the absence of singular continuous spectrum for some self-adjoint operators. (English)
- Invariant conditions for dimensions of $GL(2,R)$-orbits for quadratic differential system. (English)
- On the classification of tilings on Riemann surfaces of genus two. (English)
- An algorithm of numerical modelling the wave processes in two-component solid media. (English)
- Equivalent quasi-norms on some approximation ideals. (English)
- On nilpotency of finite-generated 3-Lie algebras. (Russian)
- Hardy type inequalities for abstract operators. (English)
- On certain subspaces of a class of Banach spaces. (English)
- An extension of the optimality notion for multicriterion problems. (English)
- Decomposition of algebras with finite special rank. (English)
