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Article · BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS · June 30, 2018

On structures in hypergraphs of models of a theory

B. Sh. Kulpeshov, Sergey Vladimirovich Sudoplatov

Beibut Kulpeshov
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Abstract

On structures in hypergraphs of models of a theoryHypergraphs of models of a theory are derived objects allowing toobtain an essential structural information about both giventheories and related semantic objects including graph ones.In the present paper we define and study structural properties of hypergraphs of modelsof a theory including lattice ones.Characterizations for thelattice properties of hypergraphs of models of a theory, as wellas for structures on sets of isomorphism types of models of atheory, are given.

Advanced Topology and Set TheoryAdvanced Algebra and LogicRings, Modules, and Algebrasmodel theorylattice propertiessemantic objects

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