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Matematicheskie Zametki, 1999, Volume 66, Issue 4, Pages 556–566
DOI: https://doi.org/10.4213/mzm3988
(Mi mzm3988)
 

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
Full-text PDF (209 kB) Citations (9)
References:
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
English version:
Mathematical Notes, 1999, Volume 66, Issue 4, Pages 455–463
DOI: https://doi.org/10.1007/BF02679096
Bibliographic databases:
UDC: 512.554.5
Language: Russian
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
Citation in format AMSBIB
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\by S.~V.~Pchelintsev
\paper Varieties of solvable index-two alternative algebras over a~field of characteristic three
\jour Mat. Zametki
\yr 1999
\vol 66
\issue 4
\pages 556--566
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\crossref{https://doi.org/10.4213/mzm3988}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1747084}
\transl
\jour Math. Notes
\yr 1999
\vol 66
\issue 4
\pages 455--463
\crossref{https://doi.org/10.1007/BF02679096}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000086188000029}
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  • https://doi.org/10.4213/mzm3988
  • https://www.mathnet.ru/eng/mzm/v66/i4/p556
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Full-text PDF :170
    References:37
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