Compactness, the löwenheim‐skolem property and the direct product of lattices of truth values

Mathematical Logic Quarterly 38 (1):521-524 (1992)

Abstract
We show that compactness is preserved by arbitrary direct products of lattices of truth values and that the Löwenheim-Skolem property is preserved by finite direct products of lattices of truth values
Keywords many‐valued logic  Compactness  Löwenheim‐Skolem property
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DOI 10.1002/malq.19920380147
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Model Theory.C. C. Chang & H. J. Keisler - 1976 - Journal of Symbolic Logic 41 (3):697-699.

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