The Properties of Positive Jonsson's Theories and Their Models
A.R. Yeshkeev · International journal of mathematics and computation · 2013
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.