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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2006 Volume 12, Issue 2, Pages 89–100 (Mi fpm936)

This article is cited in 4 papers

On Spechtian varieties of right alternative algebras

A. M. Kuz'min

Moscow State Pedagogical University

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.

UDC: 512.554.5


 English version:
Journal of Mathematical Sciences (New York), 2008, 149:2, 1098–1106

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© Steklov Math. Inst. of RAS, 2026