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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 4, Pages 197–218 (Mi fpm1538)  

This article is cited in 6 scientific papers (total in 6 papers)

Algebraic geometry over Boolean algebras in the language with constants

A. N. Shevlyakov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk, Russia
Full-text PDF (242 kB) Citations (6)
References:
Abstract: We study equations over Boolean algebras with distinguished elements. We prove criteria for when a Boolean algebra is equationally Noetherian, weakly equationally Noetherian, $\mathbf q_\omega$-compact, or $\mathbf u_\omega$-compact. Also we solve the problem of geometric equivalence in the class of Boolean algebras with distinguished elements.
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 206, Issue 6, Pages 742–757
DOI: https://doi.org/10.1007/s10958-015-2350-4
Bibliographic databases:
Document Type: Article
UDC: 512.563
Language: Russian
Citation: A. N. Shevlyakov, “Algebraic geometry over Boolean algebras in the language with constants”, Fundam. Prikl. Mat., 18:4 (2013), 197–218; J. Math. Sci., 206:6 (2015), 742–757
Citation in format AMSBIB
\Bibitem{She13}
\by A.~N.~Shevlyakov
\paper Algebraic geometry over Boolean algebras in the language with constants
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 4
\pages 197--218
\mathnet{http://mi.mathnet.ru/fpm1538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431841}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 206
\issue 6
\pages 742--757
\crossref{https://doi.org/10.1007/s10958-015-2350-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84956807015}
Linking options:
  • https://www.mathnet.ru/eng/fpm1538
  • https://www.mathnet.ru/eng/fpm/v18/i4/p197
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:276
    Full-text PDF :127
    References:47
     
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