Geodesic
The order of prime summands for virtual knots
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 15 (2012), pp. 119-124

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In this paper we introduce a special class of rigid virtual knots. We prove that for all of these knots the order on the set of primary summands is well define. We construct an example, which show that the rigid property is essential.
Keywords: virtual knot, rigid knot, connecting sum, reduction. 
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     author = {F. G. Korablev},
     title = {The order of prime summands for virtual knots},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {119--124},
     publisher = {mathdoc},
     number = {15},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/VCHGU_2012_15_a8/}
}
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F. G. Korablev. The order of prime summands for virtual knots. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 15 (2012), pp. 119-124. http://geodesic.mathdoc.fr/item/VCHGU_2012_15_a8/