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Liftable and Unliftable Diagrams

In: Lattice Theory: Special Topics and Applications

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  • Friedrich Wehrung

    (University of Caen, Department of Mathematics)

Abstract

Due to the positive solution of the countable version of CLP (see, for instance, Theorem 7-3.19), first-order sentences are not sufficient to separate congruence semilattices of lattices from arbitrary distributive semilattices. For infinitary sentences, the situation changes radically, and non-representation results can be proved.

Suggested Citation

  • Friedrich Wehrung, 2014. "Liftable and Unliftable Diagrams," Springer Books, in: George Grätzer & Friedrich Wehrung (ed.), Lattice Theory: Special Topics and Applications, edition 127, chapter 0, pages 337-392, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-06413-0_9
    DOI: 10.1007/978-3-319-06413-0_9
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