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Article · BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS · September 30, 2021

On atomic and algebraically prime models obtained by closure of definable sets

Aibat R. Yeshkeyev, A.K. Issayeva, N.K. Shamatayeva

Aibat Yeshkeyev
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Abstract

This article discusses the properties of atomic and prime models obtained with the some closure operator given on definable subsets of the semantic model some fixed Jonsson theory. The main result is to obtain the equivalence of the thus defined atomic and prime models, and this coincidence follows the assumption that there is some model with nice-defined properties.

Advanced Topology and Set TheoryRings, Modules, and AlgebrasAdvanced Algebra and Logicatomic modelsprime modelsclosure operators

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