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Vestnik Chelyabinsk. Gos. Univ., 2012, Issue 15, Pages 119–124 (Mi vchgu31)  

Geometry and Topology

The order of prime summands for virtual knots

F. G. Korablev

Chelyabinsk State University

Abstract: 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.

Funding Agency Grant Number
Russian Foundation for Basic Research 12-01-31276
Ministry of Education and Science of the Russian Federation -1414.2012.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations 12--1-1003/2


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Citation: F. G. Korablev, “The order of prime summands for virtual knots”, Vestnik Chelyabinsk. Gos. Univ., 2012, no. 15, 119–124

Citation in format AMSBIB
\Bibitem{Kor12}
\by F.~G.~Korablev
\paper The order of prime summands for virtual knots
\jour Vestnik Chelyabinsk. Gos. Univ.
\yr 2012
\issue 15
\pages 119--124
\mathnet{http://mi.mathnet.ru/vchgu31}


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  • Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
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