Algebra i logika
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


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i logika, 2021, Volume 60, Number 4, Pages 400–424
DOI: https://doi.org/10.33048/alglog.2021.60.402 (Mi al2674) 		 
This article is cited in 6 scientific papers (total in 6 papers)

$T_1$-separable numberings of subdirectly indecomposable algebras

N. Kh. Kasymova, A. S. Morozovb, I. A. Khodzhamuratovaa

a National University of Uzbekistan named after M. Ulugbek, Tashkent
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (277 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.33048/alglog.2021.60.402
Abstract: We prove the existence of a natural subclass of subdirectly indecomposable algebras all of whose Hausdorff numberings are negative. We also construct a $T_1$-separable nonnegative subdirectly indecomposable algebra with Artin congruence lattice.
Keywords: subdirect indecomposability, Artinianness, Noetherianness, computable and enumerable topologies, topological numbered algebras, translational precompleteness, positivity, negativity, effective separability.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.1, проект № 0314-2019-0003
Russian Foundation for Basic Research 20-01-00300
A. S. Morozov is supported by SB RAS Fundamental Research Program I.1.1 (project No. 0314-2019-0003) and by RFBR (project No. 20-01-00300).
Received: 16.12.2020
Revised: 26.11.2021
English version:
Algebra and Logic, 2021, Volume 60, Issue 4, Pages 263–278
DOI: https://doi.org/10.1007/s10469-021-09651-x
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: N. Kh. Kasymov, A. S. Morozov, I. A. Khodzhamuratova, “$T_1$-separable numberings of subdirectly indecomposable algebras”, Algebra Logika, 60:4 (2021), 400–424; Algebra and Logic, 60:4 (2021), 263–278
Citation in format AMSBIB
\Bibitem{KasMorKho21}
\by N.~Kh.~Kasymov, A.~S.~Morozov, I.~A.~Khodzhamuratova
\paper $T_1$-separable numberings of subdirectly indecomposable algebras
\jour Algebra Logika
\yr 2021
\vol 60
\issue 4
\pages 400--424
\mathnet{http://mi.mathnet.ru/al2674}
\crossref{https://doi.org/10.33048/alglog.2021.60.402}
\transl
\jour Algebra and Logic
\yr 2021
\vol 60
\issue 4
\pages 263--278
\crossref{https://doi.org/10.1007/s10469-021-09651-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000725412800006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85120739252}
Linking options:
  • https://www.mathnet.ru/eng/al2674
  • https://www.mathnet.ru/eng/al/v60/i4/p400
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:232
    Full-text PDF :25
    References:15
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024