The Number of Fragments of the Perfect Class of the Jonsson Spectrum
Yeshkeyev A.R. Ulbrikht O.I. Omarova M.T.
December 2022Pleiades Publishing
Lobachevskii Journal of Mathematics
2022#43Issue 123658 - 3673 pp.
Abstract: In this article, we consider the notion of the Jonsson spectrum of some subclass of existentially closed models of a fixed Jonsson theory. For an arbitrary model of an arbitrary signature, the class of existentially closed models in that signature is considered, in which this arbitrary model is isomorphically embedded. The model-theoretical properties of the Kaiser Hull of this class are studied. In the language of central types of permissible enrichments, the properties of the considered fragments for special definable subsets of the semantic model of a fixed Jonsson theory are studied. The main result of this work is an estimate of the number of such fragments.
a fragment of Jonsson set , essential base of the central types , hereditary class of theories , J-strongly minimal formula and theory , J-ϕ(x)-convex class of theories , perfect Jonsson spectrum
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Karaganda Buketov University, Karaganda, 100028, Kazakhstan
Karaganda University of Kazpotrebsoyuz, Karaganda, 100009, Kazakhstan
Karaganda Buketov University
Karaganda University of Kazpotrebsoyuz
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