(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 2, PAGES 89-100

On Spechtian varieties of right alternative algebras

A. M. Kuz'min

Abstract

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A sufficient condition is proved for the Specht property of varieties of right alternative metabelian algebras over a field of characteristic distinct from $2$. As a consequence, the Specht property of some varieties generated by right alternative metabelian algebras $\mathcal A$ satisfying a commutator identity is stated. In particular, it is proved that if $\mathcal A\left(-\right)$ is a binary Lie algebra, then $var \left(\mathcal A\right)$ is Spechtian.

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