This article is cited 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}.

UDC: 512.554.5

Received: 10.06.1998

DOI: 10.4213/mzm3988

 English version: Mathematical Notes, 1999, 66:4, 455–463

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