Mathematics

The quandles with two operations

D. A. Fedoseev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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 of unequivalency of two knots is presented.

Key words: quandle, distributive grouppoid, biquandle, long virtual knot, virtual trefoil, colourings invariant.

UDC: 511

Received: 20.10.2010

Bibliographic databases:

• 
•