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ON THE ALGEBRAIC STRUCTURE OF THE SET OF LONG VIRTUAL MOY GRAPHS

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In \cite{lk}, we showed the set of long flat virtual knots with connected-sum operation is a noncommutative monoid. In this paper, we give two binary operations for the set of long virtual MOY graphs and detect the algebraic structure as a semiring.

Abstract

In \cite{lk}, we showed the set of long flat virtual knots with connected-sum operation is a noncommutative monoid. In this paper, we give two binary operations for the set of long virtual MOY graphs and detect the algebraic structure as a semiring.

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