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    Electronic Resource
    Electronic Resource
    Amalgamation in finite dimensional cylindric algebras (2000)
    Springer
    Algebra universalis 43 (2000), S. 41-49 
    Details
    ISSN: 1420-8911
    Keywords: Key words and phrases: Cylindric algebras, amalgamation, interpolation.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. For every finite n 〉 1, the embedding property fails in the class of all n-dimensional cylindric type algebras which satisfy the following. Their boolean reducts are boolean algebras and two of the cylindrifications are normal, additive and commute. This result also holds for all subclasses containing the representable n-dimensional cylindric algebras. This considerably strengthens a result of S. Comer on CA n and provides a strong counterexample for interpolation in finite variable fragments of first order logic. We provide a new modern proof, using an argument inspired by modal logic.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s000120050144
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