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Izvestiya: Mathematics, 2001, Volume 65, Issue 5, Pages 1041–1071
DOI: https://doi.org/10.1070/IM2001v065n05ABEH000362 (Mi im362) 		 
This article is cited in 18 scientific papers (total in 18 papers)

The finite basis property of $T$-spaces over fields of characteristic zero

V. V. Shchigolev

M. V. Lomonosov Moscow State University
English version PDF (379 kB) Citations (18) Russian version article
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DOI: https://doi.org/10.1070/IM2001v065n05ABEH000362
Abstract: In this paper we prove that any $T$-space over a field of characteristic zero has a finite basis. This result generalizes Kemer's theorem on the existence of a finite basis for any system of associative identities over a field of characteristic zero.
Received: 02.06.2000
Bibliographic databases:
MSC: Primary 16R10; Secondary 16R50
Language: English
Original paper language: Russian
Citation: V. V. Shchigolev, “The finite basis property of $T$-spaces over fields of characteristic zero”, Izv. Math., 65:5 (2001), 1041–1071
Citation in format AMSBIB
\Bibitem{Shc01}
\by V.~V.~Shchigolev
\paper The finite basis property of $T$-spaces over fields of characteristic zero
\jour Izv. Math.
\yr 2001
\vol 65
\issue 5
\pages 1041--1071
\mathnet{http://mi.mathnet.ru//eng/im362}
\crossref{https://doi.org/10.1070/IM2001v065n05ABEH000362}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1874359}
\zmath{https://zbmath.org/?q=an:1026.16008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33645954805}
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  • https://www.mathnet.ru/eng/im/v65/i5/p191
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:444
    Russian version PDF:240
    English version PDF:30
    References:58
    First page:1
     
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