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Algebraically complete lattices

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Abstract

We prove that the class of existentially complete lattices is not an elementary class; thus the theory of lattices does not have a model-companion. Finally we observe that there is a locally finite finitely generic lattice.

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Authors and Affiliations

  1. Universität Heidelberg, Heidelberg, West Germany

    P. H. Schmitt

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  1. P. H. Schmitt
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Schmitt, P.H. Algebraically complete lattices. Algebra Universalis 17, 135–142 (1983). https://doi.org/10.1007/BF01194523

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  • DOI: https://doi.org/10.1007/BF01194523

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