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

A.R. Yeshkeyev | Zendy; A.K. Issayeva | Zendy; N.K. Shamatayeva | Zendy

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

Author(s) -

A.R. Yeshkeyev,

A.K. Issayeva,

N.K. Shamatayeva

Publication year - 2021

Publication title -

bulletin of the karaganda university-mathematics

Language(s) - English

Resource type - Journals

eISSN - 2663-5011

pISSN - 2518-7929

DOI - 10.31489/2021m3/124-130

Subject(s) - closure (psychology) , mathematics , equivalence (formal languages) , prime (order theory) , coincidence , pure mathematics , discrete mathematics , algebra over a field , combinatorics , medicine , alternative medicine , pathology , economics , market economy

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.

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