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Algebra i logika, 2020, Volume 59, Number 3, Pages 323–333
DOI: https://doi.org/10.33048/alglog.2020.59.303
(Mi al2617)
 

This article is cited in 10 scientific papers (total in 10 papers)

Structure of quasivariety lattices. III. Finitely partitionable bases

A. V. Kravchenkoabcd, A. M. Nurakunove, M. V. Schwidefskydbc

a Siberian Institute of Management — Branch of the Russian Presidental Academy of National Economics and Public Administration, Novosibirsk
b Novosibirsk State Technical University
c Novosibirsk State University
d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
e Institute of Mathematics of the National Academy of Sciences of the Kyrgyz Republic
References:
Abstract: We prove that each quasivariety containing a B-class has continuum many subquasivarieties with finitely partitionable ω-independent quasi-equational basis.
Keywords: independent basis, quasi-identity, quasivariety, finitely partitionable basis.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.1, проект № 0314-2019-0003
Ministry of Education and Science of the Republic of Kazakhstan AP05132349
Russian Science Foundation 19-11-00209
A. V. Kravchenko and M. V. Schwidefsky are Supported by SB RAS Fundamental Research Program I.1.1, project No. 0314-2019-0003. A. M. Nurakunov is Supported by MES RK, project No. AP05132349 “Computability, interpretability and algebraic structure.” M. V. Schwidefsky is Supported by Russian Science Foundation, project No. 19-11-00209 (results of Sec. 9).
Received: 30.05.2019
Revised: 21.10.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 3, Pages 222–229
DOI: https://doi.org/10.1007/s10469-020-09594-9
Bibliographic databases:
Document Type: Article
UDC: 512.57
Language: Russian
Citation: A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of quasivariety lattices. III. Finitely partitionable bases”, Algebra Logika, 59:3 (2020), 323–333; Algebra and Logic, 59:3 (2020), 222–229
Citation in format AMSBIB
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\by A.~V.~Kravchenko, A.~M.~Nurakunov, M.~V.~Schwidefsky
\paper Structure of quasivariety lattices. III. Finitely partitionable bases
\jour Algebra Logika
\yr 2020
\vol 59
\issue 3
\pages 323--333
\mathnet{http://mi.mathnet.ru/al2617}
\crossref{https://doi.org/10.33048/alglog.2020.59.303}
\transl
\jour Algebra and Logic
\yr 2020
\vol 59
\issue 3
\pages 222--229
\crossref{https://doi.org/10.1007/s10469-020-09594-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000585009100007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094651068}
Linking options:
  • https://www.mathnet.ru/eng/al2617
  • https://www.mathnet.ru/eng/al/v59/i3/p323
    Cycle of papers
    This publication is cited in the following 10 articles:
    1. M. V. Schwidefsky, “Existence of Independent Quasi-Equational Bases. II”, Algebra Logic, 2024  crossref
    2. M. V. Schwidefsky, “The complexity of quasivariety lattices. II”, Sib. elektron. matem. izv., 20:1 (2023), 501–513  mathnet  crossref
    3. Anvar M. Nurakunov, Marina V. Schwidefsky, “Profinite Locally Finite Quasivarieties”, Stud Logica, 2023  crossref
    4. A. I. Budkin, “On the independent axiomatizability of quasivarieties of nilpotent groups”, Siberian Math. J., 64:1 (2023), 22–32  mathnet  mathnet  crossref  crossref
    5. M. V. Shvidefski, “O suschestvovanii nezavisimykh bazisov kvazitozhdestv. II”, Algebra i logika, 62:6 (2023), 762–785  mathnet  crossref
    6. A. V. Kravchenko, “On directed and finitely partitionable bases for quasi-identities”, Sib. elektron. matem. izv., 19:2 (2022), 741–746  mathnet  crossref  mathscinet
    7. A. V. Kravchenko, M. V. Schwidefsky, “On nonstandard quasivarieties of differential groupoids and unary algebras”, Sib. elektron. matem. izv., 19:2 (2022), 768–783  mathnet  crossref  mathscinet
    8. Kira Adaricheva, Jennifer Hyndman, J. B. Nation, Joy N. Nishida, CMS/CAIMS Books in Mathematics, 3, A Primer of Subquasivariety Lattices, 2022, 1  crossref
    9. A. I. Budkin, “Independent axiomatizability of quasivarieties of torsion-free nilpotent groups”, Algebra and Logic, 60:2 (2021), 79–88  mathnet  crossref  crossref  isi
    10. A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of quasivariety lattices. IV. Nonstandard quasivarieties”, Siberian Math. J., 62:5 (2021), 850–858  mathnet  crossref  crossref  isi  elib
    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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