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Sbornik: Mathematics, 2000, Volume 191, Issue 6, Pages 909–925
DOI: https://doi.org/10.1070/sm2000v191n06ABEH000486
(Mi sm486)
 

This article is cited in 8 scientific papers (total in 8 papers)

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

S. V. Pchelintsev

Moscow City Pedagogical University
References:
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.
Received: 16.06.1999
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 6, Pages 127–144
DOI: https://doi.org/10.4213/sm486
Bibliographic databases:
UDC: 512.554.5
MSC: Primary 17D05; Secondary 17A70
Language: English
Original paper language: Russian
Citation: S. V. Pchelintsev, “An almost Spechtian variety of alternative algebras over a field of characteristic 3”, Mat. Sb., 191:6 (2000), 127–144; Sb. Math., 191:6 (2000), 909–925
Citation in format AMSBIB
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\paper An almost Spechtian variety of alternative algebras over a~field of characteristic~3
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\pages 127--144
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\pages 909--925
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Linking options:
  • https://www.mathnet.ru/eng/sm486
  • https://doi.org/10.1070/sm2000v191n06ABEH000486
  • https://www.mathnet.ru/eng/sm/v191/i6/p127
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:301
    Russian version PDF:159
    English version PDF:19
    References:36
    First page:1
     
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