Geodesic
Products of quandles
Algebra i logika, Tome 63 (2024) no. 2, pp. 111-142

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : quandle, quandle structure, multiplication of quandles. 
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     author = {V. G. Bardakov and D. A. Fedoseev},
     title = {Products of quandles},
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     publisher = {mathdoc},
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     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2024_63_2_a0/}
}
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V. G. Bardakov; D. A. Fedoseev. Products of quandles. Algebra i logika, Tome 63 (2024) no. 2, pp. 111-142. http://geodesic.mathdoc.fr/item/AL_2024_63_2_a0/