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, 2018, Volume 57, Number 6, Pages 684–710
DOI: https://doi.org/10.33048/alglog.2018.57.604
(Mi al874)
 

This article is cited in 19 scientific papers (total in 19 papers)

Structure of Quasivariety Lattices. I. Independent Axiomatizability

A. V. Kravchenkoabcd, A. M. Nurakunove, M. V. Schwidefskyad

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Siberian Institute of Management — Branch of the Russian Presidental Academy of National Economics and Public Administration, Novosibirsk
c Novosibirsk State Technical University
d Novosibirsk State University
e Institute of Mathematics of the National Academy of Sciences of the Kyrgyz Republic
References:
Abstract: We find a sufficient condition for a quasivariety $\mathbf{K}$ to have continuum many subquasivarieties that have no independent quasi-equational bases relative to $\mathbf{K}$ but have $\omega$-independent quasi-equational bases relative to $\mathbf{K}$. This condition also implies that $\mathbf{K}$ is $Q$-universal.
Keywords: independent basis, quasi-identity, quasivariety, quasivariety lattice, Q-universality.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6848.2016.1
Received: 21.06.2017
Revised: 02.07.2018
English version:
Algebra and Logic, 2019, Volume 57, Issue 6, Pages 445–462
DOI: https://doi.org/10.1007/s10469-019-09516-4
Bibliographic databases:
Document Type: Article
UDC: 512.57
Language: Russian
Citation: A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of Quasivariety Lattices. I. Independent Axiomatizability”, Algebra Logika, 57:6 (2018), 684–710; Algebra and Logic, 57:6 (2019), 445–462
Citation in format AMSBIB
\Bibitem{KraNurSch18}
\by A.~V.~Kravchenko, A.~M.~Nurakunov, M.~V.~Schwidefsky
\paper Structure of Quasivariety Lattices. I. Independent Axiomatizability
\jour Algebra Logika
\yr 2018
\vol 57
\issue 6
\pages 684--710
\mathnet{http://mi.mathnet.ru/al874}
\crossref{https://doi.org/10.33048/alglog.2018.57.604}
\transl
\jour Algebra and Logic
\yr 2019
\vol 57
\issue 6
\pages 445--462
\crossref{https://doi.org/10.1007/s10469-019-09516-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000463584500004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85063969516}
Linking options:
  • https://www.mathnet.ru/eng/al874
  • https://www.mathnet.ru/eng/al/v57/i6/p684
    Cycle of papers
    This publication is cited in the following 19 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:386
    Full-text PDF :38
    References:67
    First page:25
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024