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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 5, Pages 1049–1060
DOI: https://doi.org/10.33048/smzh.2021.62.507 (Mi smj7613) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Structure of quasivariety lattices. IV. Nonstandard quasivarieties

A. V. Kravchenkoab, A. M. Nurakunovc, M. V. Schwidefskya

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University of Economics and Management, Novosibirsk, Russia
c Institute of Mathematics, Bishkek, Kyrgyzstan
Full-text PDF (475 kB) Citations (5)
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DOI: https://doi.org/10.33048/smzh.2021.62.507
Abstract: In the previous articles of this series, some sufficient conditions were found for a quasivariety to possess continuum many subquasivarieties with certain properties. Here we prove that these conditions also imply the existence of continuum many nonstandard subquasivarieties. We present a few applications of this result.
Keywords: quasivariety, topological structure, inverse limit.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences 0314-2019-0003
Russian Science Foundation 19-11-00209
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314–2019–0003). Theorem 5 was obtained in the framework of the Russian Science Foundation under Grant 19–11–00209.
Received: 01.05.2021
Revised: 01.05.2021
Accepted: 11.06.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 5, Pages 850–858
DOI: https://doi.org/10.1134/S0037446621050074
Bibliographic databases:
Document Type: Article
UDC: 512.57
MSC: 35R30
Language: Russian
Citation: A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of quasivariety lattices. IV. Nonstandard quasivarieties”, Sibirsk. Mat. Zh., 62:5 (2021), 1049–1060; Siberian Math. J., 62:5 (2021), 850–858
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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