Concerning some cylindric algebra versions of the downward Löwenheim- Skolem theorem (Q1109770)

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scientific article; zbMATH DE number 4070897
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Concerning some cylindric algebra versions of the downward Löwenheim- Skolem theorem
scientific article; zbMATH DE number 4070897

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    Concerning some cylindric algebra versions of the downward Löwenheim- Skolem theorem (English)
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    1988
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    The cylindric-algebra version of the downward Löwenheim-Skolem theorem found in the book of \textit{L. Henkin}, \textit{J. D. Monk}, \textit{A. Tarski}, \textit{H. Andréka}, and \textit{I. Németi} [Cylindric set algebras (1981; Zbl 0497.03025)] left several questions open. The author answers most of these questions, either by extending that theorem, or providing counterexamples to possible extensions.
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    cylindric algebra
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    downward Löwenheim-Skolem theorem
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