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Sibirskii Matematicheskii Zhurnal, 2025, Volume 66, Number 4, Pages 583–595
DOI: https://doi.org/10.33048/smzh.2025.66.403 (Mi smj7964) 		 
Compatible structures of generalized Alexander quandles: distributivity and medial identities

A. N. Borodina, M. V. Neshchadimb, A. A. Simonovc

a Gorno-Altaisk State University, Gorno-Altaisk, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/smzh.2025.66.403
Abstract: We study the following question: under what conditions does a group admit two generalized Alexander quandle structures that are compatible with each other via the identity of right distributivity or the generalized medial identity?
Keywords: quandle, generalized Alexander quandle, right distributivity, generalized medial identity, compatible identities, group, automorphism.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0009
Neshchadim was supported by the Fundamental Research Program of the Siberian Branch of the Russian Academy of Sciences (no. I.1.5, Project FWNF–2022-0009).
Received: 17.02.2025
Revised: 02.05.2025
Accepted: 13.05.2025
English version:
Siberian Mathematical Journal, 2025, Volume 66, Issue 4, Pages 903–913
DOI: https://doi.org/10.1134/S0037446625040032
Document Type: Article
UDC: 512.548+515.162.8
MSC: 35R30
Language: Russian
Citation: A. N. Borodin, M. V. Neshchadim, A. A. Simonov, “Compatible structures of generalized Alexander quandles: distributivity and medial identities”, Sibirsk. Mat. Zh., 66:4 (2025), 583–595; Siberian Math. J., 66:4 (2025), 903–913
Citation in format AMSBIB
\Bibitem{BorNesSim25}
\by A.~N.~Borodin, M.~V.~Neshchadim, A.~A.~Simonov
\paper Compatible structures of generalized Alexander quandles: distributivity and medial identities
\jour Sibirsk. Mat. Zh.
\yr 2025
\vol 66
\issue 4
\pages 583--595
\mathnet{http://mi.mathnet.ru/smj7964}
\transl
\jour Siberian Math. J.
\yr 2025
\vol 66
\issue 4
\pages 903--913
\crossref{https://doi.org/10.1134/S0037446625040032}
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