Abstract:
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 $\mathcal A^{(-)}$ is a binary Lie algebra, then $\operatorname{var}(\mathcal A)$ is Spechtian.