Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 539–571
DOI: https://doi.org/10.33048/smzh.2020.61.305 (Mi smj6000) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Boolean-valued universe as an algebraic system. ii: intensional hierarchies

A. E. Gutmanab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (622 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2020.61.305
Abstract: Under study are the notions of transitivity, regularity, and $\sigma$-regularity for Boolean-valued algebraic systems of set-theoretic signature. The notion of a universe over an arbitrary extensional Boolean-valued system is introduced. Some description is proposed for the structure of the universe by means of various hierarchies. The results are used for proving the uniqueness of a Boolean-valued universe up to a unique isomorphism.
Keywords: Boolean-valued algebraic system, set theory, Boolean-valued analysis, universe, cumulative hierarchy.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.2 (проект № 0314-2019-0005)
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314-2019-0005).
Received: 09.03.2020
Revised: 09.03.2020
Accepted: 08.04.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 426–452
DOI: https://doi.org/10.1134/S0037446620030052
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. E. Gutman, “Boolean-valued universe as an algebraic system. ii: intensional hierarchies”, Sibirsk. Mat. Zh., 61:3 (2020), 539–571; Siberian Math. J., 61:3 (2020), 426–452
Citation in format AMSBIB
\Bibitem{Gut20}
\by A.~E.~Gutman
\paper Boolean-valued universe as an~algebraic system.~ii: intensional hierarchies
\jour Sibirsk. Mat. Zh.
\yr 2020
\vol 61
\issue 3
\pages 539--571
\mathnet{http://mi.mathnet.ru/smj6000}
\crossref{https://doi.org/10.33048/smzh.2020.61.305}
\elib{https://elibrary.ru/item.asp?id=43301129}
\transl
\jour Siberian Math. J.
\yr 2020
\vol 61
\issue 3
\pages 426--452
\crossref{https://doi.org/10.1134/S0037446620030052}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000540148300005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85086333219}
Linking options:
  • https://www.mathnet.ru/eng/smj6000
  • https://www.mathnet.ru/eng/smj/v61/i3/p539
    Cycle of papers
    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:140
    Full-text PDF :66
    References:12
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024