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Sbornik: Mathematics, 2009, Volume 200, Issue 5, Pages 723–751
DOI: https://doi.org/10.1070/SM2009v200n05ABEH004017 (Mi sm7302) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Algebraic algebras and prime varieties of associative algebras

L. M. Samoilov

Ulyanovsk State University
English version PDF (398 kB) Citations (1) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2009v200n05ABEH004017
Abstract: The following problem of Kemer is solved for prime varieties of associative algebras with unit: it is shown that over an infinite field of positive characteristic, each prime variety of associative algebras with unit is generated by an algebraic algebra of bounded algebraicity index over this field.
Bibliography: 10 titles.
Keywords: polynomial identities, varieties of algebras, algebraic algebras.
Received: 23.09.2008
Bibliographic databases:
UDC: 512.552.4
MSC: Primary 16R10; Secondary 16N20, 16N40
Language: English
Original paper language: Russian
Citation: L. M. Samoilov, “Algebraic algebras and prime varieties of associative algebras”, Sb. Math., 200:5 (2009), 723–751
Citation in format AMSBIB
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\by L.~M.~Samoilov
\paper Algebraic algebras and prime varieties of associative algebras
\jour Sb. Math.
\yr 2009
\vol 200
\issue 5
\pages 723--751
\mathnet{http://mi.mathnet.ru/eng/sm7302}
\crossref{https://doi.org/10.1070/SM2009v200n05ABEH004017}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2541224}
\zmath{https://zbmath.org/?q=an:1187.16022}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009SbMat.200..723S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269865000006}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350136261}
Linking options:
  • https://www.mathnet.ru/eng/sm7302
  • https://doi.org/10.1070/SM2009v200n05ABEH004017
  • https://www.mathnet.ru/eng/sm/v200/i5/p99
    • This publication is cited in the following 1 articles:
    1. L. M. Samoǐlov, “The unitary closure property of the prime varieties of associative algebras”, Siberian Math. J., 51:4 (2010), 712–722  mathnet  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:507
    Russian version PDF:193
    English version PDF:19
    References:60
    First page:6
     
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