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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{EMJ_2018_9_2_a7,
     author = {A. R. Yeshkeyev and M. T. Kasymetova and N. K. Shamatayeva},
     title = {Model-theoretic properties of the \#-companion of a {Jonsson} set},
     journal = {Eurasian mathematical journal},
     pages = {68--81},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2018_9_2_a7/}
}
TY  - JOUR
AU  - A. R. Yeshkeyev
AU  - M. T. Kasymetova
AU  - N. K. Shamatayeva
TI  - Model-theoretic properties of the \#-companion of a Jonsson set
JO  - Eurasian mathematical journal
PY  - 2018
SP  - 68
EP  - 81
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2018_9_2_a7/
LA  - en
ID  - EMJ_2018_9_2_a7
ER  - 
%0 Journal Article
%A A. R. Yeshkeyev
%A M. T. Kasymetova
%A N. K. Shamatayeva
%T Model-theoretic properties of the \#-companion of a Jonsson set
%J Eurasian mathematical journal
%D 2018
%P 68-81
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2018_9_2_a7/
%G en
%F EMJ_2018_9_2_a7
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/