A. O. Basheyeva, M. V. Schwidefsky, “The quasivariety $\mathbf{SP}(L_6)$. II: A duality result”, Sibirsk. Mat. Zh., 65:3 (2024), 446

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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)

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

A. O. Basheyeva^a, M. V. Schwidefsky^b

^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

Received: 07.04.2023
Revised: 26.02.2024
Accepted: 08.04.2024

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

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}

\crossref{https://doi.org/10.33048/smzh.2024.65.302}

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https://www.mathnet.ru/eng/smj/v65/i3/p446

Cycle of papers

The quasivariety $\mathbf{S}\mathbf{P}(L_6)$. I. An equational basis
A. O. Basheyeva, M. V. Schwidefsky, K. D. Sultankulov
Sib. Èlektron. Mat. Izv., 2022, 19:2, 902–911
The quasivariety $\mathbf{SP}(L_6)$. II: A duality result
A. O. Basheyeva, M. V. Schwidefsky
Sibirsk. Mat. Zh., 2024, 65:3, 446–454

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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