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The Quandles with Two Operations / Fedoseev D.A. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 6. P. 11-15 [Moscow Univ. Math. Bulletin. Vol. 66, N 6, 2011.]. Virtual quandles with two operations and the corresponding invariants of long virtual knots are discussed. A certain knot invariant is constructed and an example of proof that two knots are not equivalent in terms of this invariant is presented.
Key words: quandle, distributive grouppoid, biquandle, long virtual knot,
virtual trefoil, colourings invariant.
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