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Open AccessArticle

Involutory Quandles and Dichromatic Links

Jordan University of Science and Technology, Department of Mathematics and Statistics, Irbid 22110, Jordan
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Symmetry 2020, 12(1), 111; https://doi.org/10.3390/sym12010111
Received: 28 November 2019 / Revised: 26 December 2019 / Accepted: 27 December 2019 / Published: 6 January 2020
We define a new algebraic structure for two-component dichromatic links. This definition extends the notion of a kei (or involutory quandle) from regular links to dichromatic links. We call this structure a dikei that results from the generalized Reidemeister moves representing dichromatic isotopy. We give several examples on dikei and show that the set of colorings by these algebraic structures is an invariant of dichromatic links. As an application, we distinguish several pairs of dichromatic links that are symmetric as monochromatic links. View Full-Text
Keywords: knots and links; dichromatic links; quandles; groups knots and links; dichromatic links; quandles; groups
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Bataineh, K.; Saidi, I. Involutory Quandles and Dichromatic Links. Symmetry 2020, 12, 111.

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