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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 1, Pages 62–71
DOI: https://doi.org/10.33048/semi.2023.20.006 (Mi semr1570) 		 
Mathematical logic, algebra and number theory

Quasivarieties generated by small suborder lattices. I. Equational bases

O. A. Kadyrova, M. V. Schwidefsky

Novosibirsk State University, Pirogova str., 1, 630090 Novosibirsk, Russia
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DOI: https://doi.org/10.33048/semi.2023.20.006
Abstract: For each cardinal $\kappa>0$, the quasivariety generated by the suborder lattice of $M_\kappa$ is a finitely based variety. An equational basis for this variety is found.
Keywords: lattice, quasivariety, variety, poset.
Funding agency Grant number
Russian Science Foundation 22-21-00104
The research was carried out under the support of the Russian Science Foundation, project no. 22-21-00104.
Received August 17, 2022, published February 7, 2023
Document Type: Article
UDC: 515.56
MSC: 06B20, 08B05, 08C15
Language: English
Citation: O. A. Kadyrova, M. V. Schwidefsky, “Quasivarieties generated by small suborder lattices. I. Equational bases”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 62–71
Citation in format AMSBIB
\Bibitem{KadSch23}
\by O.~A.~Kadyrova, M.~V.~Schwidefsky
\paper Quasivarieties generated by small suborder lattices. I. Equational bases
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 1
\pages 62--71
\mathnet{http://mi.mathnet.ru/semr1570}
\crossref{https://doi.org/10.33048/semi.2023.20.006}
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