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Algebra i logika, 2019, Volume 58, Number 6, Pages 769–803
DOI: https://doi.org/10.33048/alglog.2019.58.606 (Mi al928) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Existence of independent quasi-equational bases

M. V. Schwidefskyabc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State Technical University
c Novosibirsk State University
Full-text PDF (385 kB) Citations (6)
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DOI: https://doi.org/10.33048/alglog.2019.58.606
Abstract: We give a sufficient condition for a quasivariety KK, weaker than the one found earlier by A. V. Kravchenko, A. M. Nurakunov, and the author, which ensures that KK contains continuum many subquasivarieties with no independent quasi-equational basis relative to KK. This condition holds, in particular, for any almost ffff-universal quasivariety KK.
Keywords: quasivariety, independent quasi-equational basis.
Funding agency Grant number
Russian Science Foundation 19-11-00209
Siberian Branch of Russian Academy of Sciences I.1.1, проект 0314-2019-0003
Supported by Russian Science Foundation (project No. 19-11-00209) and by SB RAS Fundamental Research Program I.1.1 (project No. 0314-2019-0003).
Received: 13.07.2019
Revised: 12.02.2020
English version:
Algebra and Logic, 2020, Volume 58, Issue 6, Pages 514–537
DOI: https://doi.org/10.1007/s10469-020-09570-3
Bibliographic databases:
Document Type: Article
UDC: 512.57
Language: Russian
Citation: M. V. Schwidefsky, “Existence of independent quasi-equational bases”, Algebra Logika, 58:6 (2019), 769–803; Algebra and Logic, 58:6 (2020), 514–537
Citation in format AMSBIB
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\by M.~V.~Schwidefsky
\paper Existence of independent quasi-equational bases
\jour Algebra Logika
\yr 2019
\vol 58
\issue 6
\pages 769--803
\mathnet{http://mi.mathnet.ru/al928}
\crossref{https://doi.org/10.33048/alglog.2019.58.606}
\transl
\jour Algebra and Logic
\yr 2020
\vol 58
\issue 6
\pages 514--537
\crossref{https://doi.org/10.1007/s10469-020-09570-3}
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  • https://www.mathnet.ru/eng/al928
  • https://www.mathnet.ru/eng/al/v58/i6/p769
    Cycle of papers
    This publication is cited in the following 6 articles:
    1. M. V. Schwidefsky, “Existence of Independent Quasi-Equational Bases. II”, Algebra Logic, 2024  crossref
    2. A. I. Budkin, “On the independent axiomatizability of quasivarieties of nilpotent groups”, Siberian Math. J., 64:1 (2023), 22–32  mathnet  crossref  crossref  mathscinet
    3. M. V. Schwidefsky, “The complexity of quasivariety lattices. II”, Sib. elektron. matem. izv., 20:1 (2023), 501–513  mathnet  crossref
    4. M. V. Shvidefski, “O suschestvovanii nezavisimykh bazisov kvazitozhdestv. II”, Algebra i logika, 62:6 (2023), 762–785  mathnet  crossref
    5. M. E. Adams, W. Dziobiak, H. P. Sankappanavar, “A relatively finite-to-finite universal but not Q-universal quasivariety”, Algebra Univers., 83:3 (2022)  crossref
    6. M. V. Schwidefsky, “On sufficient conditions for QQ-universality”, Sib. elektron. matem. izv., 17 (2020), 1043–1051  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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