Model companions of the quasivarieties of polygons
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The author studies the existence problem for model companions of quasivarieties of polygons. Let \(\mathcal H\) be the class of polygons which possesses the amalgamation property and the congruence extension property. In the article under review, the existence of a model companion for \(\mathcal H\) is proven to be equivalent to each of the following two properties: (1) \(\mathcal H\) is coherent; (2) the class Abs(\(\mathcal H\)) of polygons being absolutely pure in \(\mathcal H\) is axiomatizable.
Properties of classes of models, polygon, quasivariety, model companion, amalgamation property, congruence extension property, Models of other mathematical theories, Quasivarieties, axiomatizability
Properties of classes of models, polygon, quasivariety, model companion, amalgamation property, congruence extension property, Models of other mathematical theories, Quasivarieties, axiomatizability
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