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

Abstract

In 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.