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Топологии, ранги и замыкания для семейств теорий. II Full article

Journal Алгебра и логика
ISSN: 0373-9252
Output data Year: 2021, Volume: 60, Number: 1, Pages: 57-80 Pages count : 24 DOI: 10.33048/alglog.2021.60.104
Tags topology, rank, closure, family of theories
Authors Мархабатов Н.Д. 1 , Sudoplatov Sergei Vladimirovich 1,2,3
Affiliations
1 Новосибирский государственный технический университет
2 Институт математики им. С.Л. Соболева СО РАН
3 Новосибирский государственный университет

Abstract: We describe topological properties, ranks, and closures as well as their dynamics for families of theories. Closures for families of theories are introduced based on sentences of the given theories. We look at properties of these closures and establish their relationship with standard closures. Values of e1-spectra, as well as conditions for the existence of least generating sets, are characterized. Closures for linearly ordered families of theories are examined.
Cite: Мархабатов Н.Д. , Судоплатов С.В.
Топологии, ранги и замыкания для семейств теорий. II
Алгебра и логика. 2021. Т.60. №1. С.57-80. DOI: 10.33048/alglog.2021.60.104 РИНЦ OpenAlex
Translated: Мархабатов Н.Д. , Sudoplatov S.V.
Topologies, Ranks, and Closures for Families of Theories. II
Algebra and Logic. 2021. V.60. N1. P.38-52. DOI: 10.1007/s10469-021-09626-y WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: May 22, 2020
Accepted: May 31, 2021
Published print: Aug 5, 2021
Published online: Aug 5, 2021
Identifiers:
Elibrary: 46263147
OpenAlex: W4245434105
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