S. V. Sudoplatov, “Combinations related to classes of finite and countably categorical structures and their theories”, Сиб. электрон. матем. изв., 2017, том 14,страницы 135

Эта публикация цитируется в 8 статьях

Математическая логика, алгебра и теория чисел

Combinations related to classes of finite and countably categorical structures and their theories

S. V. Sudoplatov^abcd

^a Sobolev Institute of Mathematics, Academician Koptyug avenue, 4, 630090, Novosibirsk, Russia
^b Novosibirsk State Technical University, K. Marx avenue, 20, 630073, Novosibirsk, Russia
^c Institute of Mathematics and Mathematical Modeling, Pushkina Street, 125, 050010, Almaty, Kazakhstan
^d Novosibirsk State University, Pirogova street, 1, 630090, Novosibirsk, Russia

Аннотация: We consider and characterize classes of finite and countably categorical structures and their theories preserved under $E$-operators and $P$-operators. We describe $e$-spectra and families of finite cardinalities for structures belonging to closures with respect to $E$-operators and $P$-operators.

Ключевые слова: finite structure, countably categorical structure, elementary theory, $E$-operator, $P$-operator, $e$-spectrum.

УДК: 510.67

MSC: 03C30, 03C15, 03C50, 54A05

Поступила 31 января 2017 г., опубликована 22 февраля 2017 г.

Язык публикации: английский

DOI: 10.17377/semi.2017.14.014