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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 4, Pages 197–218
(Mi fpm1538)
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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
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.
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
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https://www.mathnet.ru/eng/fpm1538 https://www.mathnet.ru/eng/fpm/v18/i4/p197
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Abstract page: | 257 | Full-text PDF : | 122 | References: | 38 |
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