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Topologies, Ranks, and Closures for Families of Theories. II Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2021, Volume: 60, Number: 1, Pages: 38-52 Pages count : 19 DOI: 10.1007/s10469-021-09626-y
Tags topology, rank, closure, family of theories
Authors Мархабатов Н.Д. 1 , Sudoplatov Sergei Vladimirovich 1,2,3
Affiliations
1 Novosibirsk State Technical University
2 Sobolev Institute of Mathematics
3 Novosibirsk State University

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. , 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
Original: 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
Dates:
Submitted: May 22, 2020
Accepted: May 31, 2021
Published print: Jun 13, 2021
Published online: Jun 13, 2021
Identifiers:
Web of science: WOS:000660800700002
Scopus: 2-s2.0-85107751738
Elibrary: 46854103
OpenAlex: W3138937165
Citing:
DB Citing
Web of science 4
Scopus 4
Elibrary 8
OpenAlex 4
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