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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 741–746
DOI: https://doi.org/10.33048/semi.2022.19.061 (Mi semr1535) 		 
Mathematical logic, algebra and number theory

On directed and finitely partitionable bases for quasi-identities

A. V. Kravchenko

Novosibirsk State University of Economics and Management, ul. Kamenskaya, 56, 630099, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.061
Abstract: We prove that, under certain conditions on a quasivariety, there exists continuum many subquasivarieties of this quasivariety with both finitely partitionable (independent) and directed bases for quasi-identities. We also notice that such a situation is impossible for bases for anti-identities.
Keywords: quasivariety, basis for quasi-identities.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0012
Russian Science Foundation 22-21-00104
The research was carried out in the framework of the state contract of Sobolev Institute of Mathematics SB RAS, project no. FWNF-2022-0012. The results of Section 3 were obtained under the support of the Russian Science Foundation, project number 22-21-00104.
Received May 3, 2022, published November 11, 2022
Bibliographic databases:
Document Type: Article
UDC: 512.57
MSC: 08C15
Language: English
Citation: A. V. Kravchenko, “On directed and finitely partitionable bases for quasi-identities”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 741–746
Citation in format AMSBIB
\Bibitem{Kra22}
\by A.~V.~Kravchenko
\paper On directed and finitely partitionable bases for quasi-identities
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 741--746
\mathnet{http://mi.mathnet.ru/semr1535}
\crossref{https://doi.org/10.33048/semi.2022.19.061}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4508344}
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