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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
Full-text PDF (326 kB) Citations (19)
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DOI: https://doi.org/10.33048/alglog.2018.57.604
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
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\paper Structure of Quasivariety Lattices. I. Independent Axiomatizability
\jour Algebra Logika
\yr 2018
\vol 57
\issue 6
\pages 684--710
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\crossref{https://doi.org/10.33048/alglog.2018.57.604}
\transl
\jour Algebra and Logic
\yr 2019
\vol 57
\issue 6
\pages 445--462
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    This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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