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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 3, Pages 446–454
DOI: https://doi.org/10.33048/smzh.2024.65.302 (Mi smj7865) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The quasivariety $\mathbf{SP}(L_6)$. II: A duality result

A. O. Basheyevaa, M. V. Schwidefskyb

a Eurasian National University named after L.N. Gumilyov, Astana
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2024.65.302
Abstract: We prove that the category of the complete bi-algebraic (0, 1)-lattices belonging to the quasivariety generated by a certain finite lattice with complete lattice homomorphisms, considered as a concrete category, is dually equivalent to the category of certain spaces with an additional structure.
Keywords: duality, bi-algebraic lattice, quasivariety.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0012
Ministry of Education and Science of the Republic of Kazakhstan AP13268735
This research was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0012). Basheyeva was supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Grant AP13268735).
Received: 07.04.2023
Revised: 26.02.2024
Accepted: 08.04.2024
English version:
Siberian Mathematical Journal, 2024, Volume 65, Issue 3, Pages 514–521
DOI: https://doi.org/10.1134/S0037446624030029
Document Type: Article
UDC: 512.57
MSC: 35R30
Language: Russian
Citation: A. O. Basheyeva, M. V. Schwidefsky, “The quasivariety $\mathbf{SP}(L_6)$. II: A duality result”, Sibirsk. Mat. Zh., 65:3 (2024), 446–454; Siberian Math. J., 65:3 (2024), 514–521
Citation in format AMSBIB
\Bibitem{BasSch24}
\by A.~O.~Basheyeva, M.~V.~Schwidefsky
\paper The quasivariety $\mathbf{SP}(L_6)$. II: A~duality result
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 3
\pages 446--454
\mathnet{http://mi.mathnet.ru/smj7865}
\transl
\jour Siberian Math. J.
\yr 2024
\vol 65
\issue 3
\pages 514--521
\crossref{https://doi.org/10.1134/S0037446624030029}
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