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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
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.
Received: 01.05.2021 Revised: 01.05.2021 Accepted: 11.06.2021
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
Linking options:
https://www.mathnet.ru/eng/smj7613 https://www.mathnet.ru/eng/smj/v62/i5/p1049
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Abstract page: | 267 | Full-text PDF : | 57 | References: | 28 | First page: | 9 |
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