S. V. Sudoplatov, “Relative $e$-spectra and relative closures for families of theories”, Сиб. электрон. матем. изв., 2017, том 14,страницы 296

Эта публикация цитируется в 8 статьях

Математическая логика, алгебра и теория чисел

Relative $e$-spectra and relative closures for families of theories

S. V. Sudoplatov^abcd

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

Аннотация: We define the notions of relative $e$-spectra, with respect to $E$-operators, relative closures, and relative generating sets. We study properties connected with relative $e$-spectra and relative generating sets.

Ключевые слова: $E$-operator, combination of theories, relative $e$-spectrum, disjoint families of theories, relative closure, relative generating set.

УДК: 510.67

MSC: 03C30, 03C50, 54A05

Поступила 31 января 2017 г., опубликована 30 марта 2017 г.

Язык публикации: английский

DOI: 10.17377/semi.2017.14.027