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Izvestiya: Mathematics, 2010, Volume 74, Issue 1, Pages 1–126
DOI: https://doi.org/10.1070/IM2010v074n01ABEH002481 (Mi im1122) 		 
This article is cited in 27 scientific papers (total in 27 papers)

The local finite basis property and local representability of varieties of associative rings

A. Ya. Belovab

a Moscow Institute of Open Education
b Bar-Ilan University, Ramat Gan, Israel
English version PDF (1159 kB) Citations (27) Russian version article
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DOI: https://doi.org/10.1070/IM2010v074n01ABEH002481
Abstract: We prove the local representability and local finite basis property of varieties of associative rings and algebras over an arbitrary associative-commutative Noetherian ring $\Phi$.
Keywords: $\mathrm{PI}$-algebra, representable algebra, universal algebra, polynomial identity, Hilbert series, Specht problem, non-commutative algebraic geometry, representation theory, quiver.
Received: 26.06.2006
Bibliographic databases:
UDC: 512.552.4+512.554.32+512.664.2
MSC: 16R10, 15A75, 16G20, 16P90, 16R50, 16W55, 17A30
Language: English
Original paper language: Russian
Citation: A. Ya. Belov, “The local finite basis property and local representability of varieties of associative rings”, Izv. Math., 74:1 (2010), 1–126
Citation in format AMSBIB
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\by A.~Ya.~Belov
\paper The local finite basis property and local representability of varieties of associative rings
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\yr 2010
\vol 74
\issue 1
\pages 1--126
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  • https://doi.org/10.1070/IM2010v074n01ABEH002481
  • https://www.mathnet.ru/eng/im/v74/i1/p3
    • This publication is cited in the following 27 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:1381
    Russian version PDF:539
    English version PDF:39
    References:114
    First page:36
     
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