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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)
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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
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 5, Pages 99–128
DOI: https://doi.org/10.4213/sm7302
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”, Mat. Sb., 200:5 (2009), 99–128; Sb. Math., 200:5 (2009), 723–751
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v200/i5/p99
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:450
    Russian version PDF:178
    English version PDF:10
    References:45
    First page:6
     
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