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arXiv · 1305.6844

Algebraic geometry over Boolean algebras in the language with constants

Artem N. Shevlyakov
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Abstract

We study equations over boolean algebras with distinguished elements. We prove the criteria, when a boolean algebra is equationally Noetherian, weakly equationally Noetherian, $\mathbf{q}_ω$-compact or $\mathbf{u}_ω$-compact. Also we solve the problem of geometric equivalence in the class of boolean algebras with distinguished elements.

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Artem N. Shevlyakov. 2013-05-24. Algebraic geometry over Boolean algebras in the language with constants. https://arxiv.org/abs/1305.6844

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