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

Sibirskii Matematicheskii Zhurnal

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

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

Full-text PDF (260 kB) First page

References:

PDF

HTML

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}

Linking options:

https://www.mathnet.ru/eng/smj7865

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

Statistics & downloads:
Abstract page:	39
Full-text PDF :	6
References:	11
First page:	3

Что такое QR-код?

Registration to the website

Logotypes