Complete representations in algebraic logic

    by R. Hirsch and I. Hodkinson

    J. Symbolic Logic vol 62, number 3, Sept 1997, pages 816 - 847.

    A boolean algebra is shown to be completely representable if and only if it is atomic, whereas it is shown that neither the class of completely representable relation algebras nor the class of completely representable cylindric algebras of any fixed dimension are elementary.

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