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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 2, Pages 89–100
(Mi fpm936)
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This article is cited in 4 scientific papers (total 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.
Citation:
A. M. Kuz'min, “On Spechtian varieties of right alternative algebras”, Fundam. Prikl. Mat., 12:2 (2006), 89–100; J. Math. Sci., 149:2 (2008), 1098–1106
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https://www.mathnet.ru/eng/fpm936 https://www.mathnet.ru/eng/fpm/v12/i2/p89
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Abstract page: | 280 | Full-text PDF : | 125 | References: | 45 | First page: | 1 |
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