Forcing companions of Jonsson AP-theories
Йонсондық AP-теориялардың форсинг-компаньондерi
Форсинг-компаньоны йонсоновских AP-теорий
Yeshkeyev A.R. Tungushbayeva I.O. Omarova M.T.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#107Issue 3152 - 163 pp.
This article is devoted to the study of the forcing companions of the Jonsson AP-theories in the enriched signature. It is proved that the forcing companion of the theory does not change when expanding the theories under consideration, which have some properties, by adding new predicate and constant symbols to the language. The model-theoretic results obtained in this paper in general form are supported by examples from differential algebra. An approach in combining a Jonsson and non-Jonsson theories is demonstrated. In this paper, for the first time in the history of Model Theory. This will allow us to further develop the methods of research of Jonsson theories and expand the apparatus for studying incomplete theories.
AP-theory , differential field , differentially closed field , differentially perfect field , enrichment of a signature , expanding theory , forcing , forcing companion , Jonsson theory , perfect Jonsson theory
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Karagandy University of the name of academician E.A. Buketov, Karaganda, Kazakhstan
Karaganda University of Kazpotrebsoyuz, Karaganda, Kazakhstan
Karagandy University of the name of academician E.A. Buketov
Karaganda University of Kazpotrebsoyuz
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