Ranks for families of theories and their spectra Научная публикация
| Журнал |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Вых. Данные | Год: 2021, Том: 42, Номер: 12, Страницы: 2959-2968 Страниц : 10 DOI: 10.1134/S1995080221120313 | ||||
| Ключевые слова | : family of theories, rank, degree, E-closure, e-spectrum | ||||
| Авторы |
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| Организации |
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Реферат:
We define ranks and degrees for families of theories, similar to Morley rank and degree, as well as Cantor–Bendixson rank and degree, and the notion of totally transcendental family of theories. Bounds for e-spectra with respect to ranks and degrees are found. It is shown that the ranks and the degrees are preserved under E-closures and values for the ranks and the degrees are characterized. Criteria for totally transcendental families in terms of cardinality of E-closure and of the e-spectrum value, for a countable language, are proved.
Библиографическая ссылка:
Sudoplatov S.V.
Ranks for families of theories and their spectra
Lobachevskii Journal of Mathematics. 2021. V.42. N12. P.2959-2968. DOI: 10.1134/S1995080221120313 WOS Scopus РИНЦ OpenAlex
Ranks for families of theories and their spectra
Lobachevskii Journal of Mathematics. 2021. V.42. N12. P.2959-2968. DOI: 10.1134/S1995080221120313 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 7 апр. 2021 г. |
| Принята к публикации: | 22 апр. 2021 г. |
| Опубликована в печати: | 15 дек. 2021 г. |
| Опубликована online: | 15 дек. 2021 г. |
Идентификаторы БД:
| Web of science: | WOS:000730385600030 |
| Scopus: | 2-s2.0-85121366319 |
| РИНЦ: | 47327865 |
| OpenAlex: | W4205467473 |