Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

ON CROSSING NUMBER OF KNOTS

  • Banerjee, S. (Department of Pure Mathematics University of Calcutta) ;
  • Basak, S. (Department of Pure Mathematics University of Calcutta) ;
  • Adhikari, M.R. (Department of Pure Mathematics University of Calcutta)
  • Received : 2006.10.13
  • Published : 2006.12.31
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Abstract

The aim of this paper is to endow a monoid structure on the set S of all oriented knots(links) under the operation ${\biguplus}$, called addition of knots. Moreover, we prove that there exists a homomorphism of monoids between ($S_d,\;{\biguplus}$) to (N, +), where $S_d$ is a subset of S with an extra condition and N is the monoid of non negative integers under usual addition.

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