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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 8 scientific papers (total in 8 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
Full-text PDF (238 kB) Citations (8)
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DOI: https://doi.org/10.33048/alglog.2020.59.303
Abstract: We prove that each quasivariety containing a $\mathrm{B}$-class has continuum many subquasivarieties with finitely partitionable $\omega$-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}
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    This publication is cited in the following 8 articles:
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    		Алгебра и логика Algebra and Logic
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