Chains of existentially closed models of positive (n1, n2)-Jonsson theories

Aibat R. Yeshkeyev, M.T. Omarova

2019

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DOI 10.31489/2019m4/69-74

Data confidence 70 medium

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Abstract

Chains of existentially closed models of positive (n 1 , n 2 )-Jonsson theoriesIn this article are considered model-theoretical properties of chains of positive (n1, n2)-Jonsson theories.Herewith considered theories is perfect in the sense of the existence of appropriate model companion.The main obtained results are as follows: introduced new concepts n2-elimination of quantifier for positive theory, (n1, n2)-Jonsson theory, n1-Jonsson chain; indicated a feature of perfect (n1, n2)-positive Jonsson theory.