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, 2016, Volume 57, Number 6, Pages 1361–1375
DOI: https://doi.org/10.17377/smzh.2016.57.613 (Mi smj2829) 		 
Finitely-axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width

D. E. Pal'chunovab, A. V. Trofimovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (345 kB)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2016.57.613
Abstract: We give a description of finitely axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width. Criteria are obtained for the elementary equivalence of superatomic Boolean algebras with distinguished dense subalgebra of finite width and the decidability of their elementary theories.
Keywords: Boolean algebra, Boolean algebra with distinguished subalgebra, local algebra, elementary theory, finitely axiomatizable theory, decidable theory, elementary equivalence.
Funding agency Grant number
Russian Foundation for Basic Research 14-07-00903-а
The authors were supported by the Russian Foundation for Basic Research (Grant 14-07-00903-а).
Received: 24.03.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 6, Pages 1066–1076
DOI: https://doi.org/10.1134/S0037446616060136
Bibliographic databases:
Document Type: Article
UDC: 512.563
Language: Russian
Citation: D. E. Pal'chunov, A. V. Trofimov, “Finitely-axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width”, Sibirsk. Mat. Zh., 57:6 (2016), 1361–1375; Siberian Math. J., 57:6 (2016), 1066–1076
Citation in format AMSBIB
\Bibitem{PalTro16}
\by D.~E.~Pal'chunov, A.~V.~Trofimov
\paper Finitely-axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width
\jour Sibirsk. Mat. Zh.
\yr 2016
\vol 57
\issue 6
\pages 1361--1375
\mathnet{http://mi.mathnet.ru/smj2829}
\crossref{https://doi.org/10.17377/smzh.2016.57.613}
\elib{https://elibrary.ru/item.asp?id=27380124}
\transl
\jour Siberian Math. J.
\yr 2016
\vol 57
\issue 6
\pages 1066--1076
\crossref{https://doi.org/10.1134/S0037446616060136}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391768100013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85007092857}
Linking options:
  • https://www.mathnet.ru/eng/smj2829
  • https://www.mathnet.ru/eng/smj/v57/i6/p1361
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024