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This article is cited in 9 scientific papers (total in 9 papers)
Varieties of solvable index-two alternative algebras over a field of characteristic three
S. V. Pchelintsev Moscow City Pedagogical University
Abstract:
The subvarieties of the variety $\mathrm{Alt}_2$ of solvable index-two alternative algebras over an arbitrary field of characteristic 3 are studied. The main types of such varieties are singled out in the language of identities, and inclusions between these types are established. The main results is the following.
Theorem.
{\it The topological rank of the variety $\mathrm{Alt}_2$ of solvable index-two alternative algebras over an arbitrary field of characteristic $3$ is equal to five}.
Received: 10.06.1998
Citation:
S. V. Pchelintsev, “Varieties of solvable index-two alternative algebras over a field of characteristic three”, Mat. Zametki, 66:4 (1999), 556–566; Math. Notes, 66:4 (1999), 455–463
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https://www.mathnet.ru/eng/mzm3988https://doi.org/10.4213/mzm3988 https://www.mathnet.ru/eng/mzm/v66/i4/p556
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Abstract page: | 285 | Full-text PDF : | 170 | References: | 37 | First page: | 1 |
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