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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2000 Volume 191, Number 6, Pages 127–144 (Mi sm486)

This article is cited in 9 papers

An almost Spechtian variety of alternative algebras over a field of characteristic 3

S. V. Pchelintsev

Moscow City Pedagogical University

Abstract: We prove that the variety of strict centre-by-metabelian alternative algebras with trivial commutant over an infinite field of characteristic 3 is almost Spechtian, that is, it is not finitely based, but every proper subvariety of it is finitely based.

UDC: 512.554.5

MSC: Primary 17D05; Secondary 17A70

Received: 16.06.1999

DOI: 10.4213/sm486


 English version:
Sbornik: Mathematics, 2000, 191:6, 909–925

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© Steklov Math. Inst. of RAS, 2025