Algebraically complete lattices

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1983 English Publisher:Springer Science and Business Media LLCJournal:Algebra Universalis, volume 17, pages 135-142 (issn: 0002-5240, eissn: 1420-8911,

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Authors: Schmitt, P. H.;

doi: 10.1007/bf01194523

Algebraically complete lattices

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Abstract

It is proved that the existentially closed lattices do not form an elementary class and therefore the class of all lattices has no model companion. It is also remarked that there are locally finite finitely generic lattices.

Related Organizations

Heidelberg University
Germany

Keywords

Properties of classes of models, model companion, existentially closed lattices, Lattices, Models of other mathematical theories, locally finite finitely generic lattices

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