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Article · International journal of mathematics and computation · April 26, 2013

The Properties of Positive Jonsson's Theories and Their Models

Aibat Yeshkeyev
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Abstract

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.

Advanced Topology and Set TheoryRings, Modules, and AlgebrasAdvanced Algebra and Logicatomic modelssyntactic similaritysemantic similarity

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