In this paper we provide a proof of the algebraic case of a conjecture of Nakanishi concerning a proposed unknotting operation. Specifically, we show, using only basic knot theory techniques, that any algebraic knot or link can be unknotted by a sequence of so-called (2,2)-moves.
"The Algebraic Case of a Conjecture of Nakanishi." Missouri J. Math. Sci. 21 (2) 127 - 135, May 2009. https://doi.org/10.35834/mjms/1316027245