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Article · BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS · December 30, 2019
Chains of existentially closed models of positive (n1, n2)-Jonsson theories
Aibat R. Yeshkeyev, M.T. Omarova
Abstract
Chains of existentially closed models of positive (n 1 , n 2 )-Jonsson theoriesIn 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.
Advanced Topology and Set TheoryRings, Modules, and AlgebrasAdvanced Algebra and Logicpositive theorymodel companionquantifier elimination
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