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Algebra i logika, 2024, Volume 63, Number 2, Pages 111–142
DOI: https://doi.org/10.33048/alglog.2024.63.201 (Mi al2798) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Products of quandles

V. G. Bardakova, D. A. Fedoseevb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Lomonosov Moscow State University
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DOI: https://doi.org/10.33048/alglog.2024.63.201
Abstract: We generalize the constructions of $Q$- and $G$-families of quandles introduced in the paper of A. Ishii et al. in [Ill. J. Math., 57, No. 3, 817—838 (2013)], and establish how they are related to other constructions of quandles. A composition of structures of quandles defined on the same set is specified, and conditions are found under which this composition yields a quandle. It is proved that under such a multiplication we obtain a group that will be Abelian. Also a direct product of quandles is examined.
Keywords: rack, quandle, quandle structure, multiplication of quandles.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1392
V. G. Bardakov and D. A. Fedoseev are supported by RF Ministry of Education and Science, Agreement No. 075-02-2021-1392.
Received: 11.02.2023
Revised: 06.12.2024
English version:
Algebra and Logic, 2024, Volume 63, Issue 2, Pages 75–97
DOI: https://doi.org/10.1007/s10469-025-09773-6
Document Type: Article
UDC: 512.56
Language: Russian
Citation: V. G. Bardakov, D. A. Fedoseev, “Products of quandles”, Algebra Logika, 63:2 (2024), 111–142; Algebra and Logic, 63:2 (2024), 75–97
Citation in format AMSBIB
\Bibitem{BarFed24}
\by V.~G.~Bardakov, D.~A.~Fedoseev
\paper Products of quandles
\jour Algebra Logika
\yr 2024
\vol 63
\issue 2
\pages 111--142
\mathnet{http://mi.mathnet.ru/al2798}
\transl
\jour Algebra and Logic
\yr 2024
\vol 63
\issue 2
\pages 75--97
\crossref{https://doi.org/10.1007/s10469-025-09773-6}
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    • This publication is cited in the following 1 articles:
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    		Алгебра и логика Algebra and Logic
     
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