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Topologies, Ranks, and Closures for Families of Theories. II. / Markhabatov, N. D.; Sudoplatov, S. V.

In: Algebra and Logic, Vol. 60, 01.03.2021, p. 38-52.

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Markhabatov ND, Sudoplatov SV. Topologies, Ranks, and Closures for Families of Theories. II. Algebra and Logic. 2021 Mar 1;60:38-52. doi: 10.1007/s10469-021-09626-y

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Markhabatov, N. D. ; Sudoplatov, S. V. / Topologies, Ranks, and Closures for Families of Theories. II. In: Algebra and Logic. 2021 ; Vol. 60. pp. 38-52.

BibTeX

@article{c99b35de99ab4ebbb2df0e15e740092f,
title = "Topologies, Ranks, and Closures for Families of Theories. II",
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.",
author = "Markhabatov, {N. D.} and Sudoplatov, {S. V.}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2021",
month = mar,
day = "1",
doi = "10.1007/s10469-021-09626-y",
language = "English",
volume = "60",
pages = "38--52",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",

}

RIS

TY - JOUR

T1 - Topologies, Ranks, and Closures for Families of Theories. II

AU - Markhabatov, N. D.

AU - Sudoplatov, S. V.

N1 - Publisher Copyright: © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2021/3/1

Y1 - 2021/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85107751738&partnerID=8YFLogxK

U2 - 10.1007/s10469-021-09626-y

DO - 10.1007/s10469-021-09626-y

M3 - Article

AN - SCOPUS:85107751738

VL - 60

SP - 38

EP - 52

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

ER -

ID: 34109516