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The Properties of Positive Jonsson's Theories and Their Models

A. R. Yeshkeev


Actually, we study the connections of the Delta-PJ-theories with their centers. The properties of various companions of some Delta-PJ-theories and their connection with this theory are considered. Also the similarity of the central types of Delta-PJ-theories in the enriched language is considered. In the class of perfect Delta-PJ-theories the conditions of coincidence of algebraic primeness with some sort of atomic models are found. In the class of Delta-PJ-theories, the concepts of syntactic and semantic similarities are introduced and the results on the relationship of these similarities in this class with their centers are obtained.


Jonsson's theory, semantic model, companion, model completeness, syntactic and semantic similarities, atomic and algebraically prime models, existentially closed model, lattice of existential formulas.

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