Liftable and Unliftable Diagrams

Friedrich Wehrung
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Friedrich Wehrung: University of Caen, Department of Mathematics

Chapter Chapter 9 in Lattice Theory: Special Topics and Applications, 2014, pp 337-392 from Springer

Abstract: 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.

Keywords: Congruence Lattice; Modular Lattice; Congruence Class; Subgroup Lattice; Algebraic Lattice (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-06413-0_9

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