Geodesic
Model-theoretic properties of the \#-companion of a Jonsson set
Eurasian mathematical journal, Tome 9 (2018) no. 2, pp. 68-81.

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The work is devoted to the model theory. The subject of this article is connected with the study of incomplete inductive theories. In particular, model-theoretic properties of Jonsson theories are considered, which are subclasses of inductive theories. This paper considers a fragment of a certain Jonsson subset of a semantic model of a fixed Jonsson theory, and, as a class of models, all models of the given fragment are considered, namely, the paper considers the model-theoretic properties of countable and uncountable categoricity and the properties of elimination of quantifiers of the given fragment's #-companions. Also the properties of #-companions of the fragment's existential formulas are investigated. 
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A. R. Yeshkeyev; M. T. Kasymetova; N. K. Shamatayeva. Model-theoretic properties of the \#-companion of a Jonsson set. Eurasian mathematical journal, Tome 9 (2018) no. 2, pp. 68-81. http://geodesic.mathdoc.fr/item/EMJ_2018_9_2_a7/

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