On lattice of existential formulas for fragment of Jonsson set

Abstract

This paper its content associated with the study of model - theoretic properties of Jonsson theories and their semantic models. In particular, considering Jonsson sets concerning of their definable circuit described fragments and their relationship to their centers. In the article considered Jonsson analogue of the question A.D.Taymanov of the existence of a sequence of Boolean algebras isomorphic to the corresponding algebras Lindenbaum-Tarski considered a complete theory. When Jonsson theory instead of Boolean algebras are considered lattices of existential formulas. Is studied the connection of companions of fragment of Jonsson set with respect to the conservation of properties of stability.