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

Companions of fragments in admissible enrichments

Aibat R. Yeshkeyev, G.E. Zhumabekova

Aibat Yeshkeyev
Open via DOIPDFDOI 10.31489/2018m4/105-111

Abstract

Companions of fragments in admissible enrichmentsIn this paper, model-theoretic properties of companions of fragments of special subsets in admissible enrichments are considered.Admissible enrichments are understood as enrichments of a signature that preserve the basic syntactic properties of the Jonsson theory under consideration.The study of the properties of companions of the Jonsson theory is related to the classical problematics of studying inductive theories, which was determined at the time by one of the founders of the theory of models A. Robinson.In this paper, the main properties of companion fragments of definable subsets of the semantic model of a given Jonsson theory is categoricity and it is considered.

Advanced Topology and Set TheoryRings, Modules, and AlgebrasAdvanced Algebra and Logicinductive theorysemantic models

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