Университеттің 85 жылдығына арналған «Қазіргі заманғы математика:
проблемалары және қолданыстары» III халықаралық Тайманов оқуларының
материалдар жинағы, 25 қараша, 2022 жыл
252
Variants of algebraic closures in models of elementary theories are considered, depending
on the finite cardinality of the solution sets of formulas, as well as on the given set of formulas.
The concept of the degree of algebraization is introduced, which depends on a given set of
formulas. The values of these degrees are described. Examples with different values of degrees
are given. Problems related to the considered variants of algebraic closures are formulated.
Keywords:
algebraic closure, model, elementary theory, degree of algebraization.
Список использованной литературы:
1.
Baizhanov B., Kulpeshov B., Zambarnaya T. A.D. Taimanov and model theory in
Kazakhstan. – Siberian Electronic Mathematical Reports, 2020, 17, p. 1–58.
2.
Shelah S. Classification theory and the number of non-isomorphic models. –
Amsterdam : North-Holland, 1990. – 705 p.
3.
Tent K., Ziegler M. A Course in Model Theory. – Cambridge : Cambridge University
Press, 2012. – 248 p.
4.
Судоплатов С.В. Об алгебраических замыканиях в моделях элементарных
теорий. – Международная научная конференция «Математическая логика и
компьютерные науки». – Астана : ЕНУ, 2022.
5.
Hodges W. Model theory. – Cambridge : Cambridge University Press, 1993. – 772 p.
6.
Судоплатов С.В., Овчинникова Е.В. Дискретная математика : учебник и
практикум для вузов. – М. : Юрайт, 2022. – 280 с.
7.
Kulpeshov B.Sh., Macpherson H.D. Minimality conditions on circularly ordered
structures. – Mathematical Logic Quarterly, 2005, 51, № 4, p. 377–399.
ГРНТИ 14.25.09
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