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Fundam. Prikl. Mat., 2013, Volume 18, Issue 4, Pages 197–218 (Mi fpm1538)  

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

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.

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English version:
Journal of Mathematical Sciences (New York), 2015, 206:6, 742–757

Bibliographic databases:

UDC: 512.563

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://www.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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84956807015}


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