2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130919We show that the defining ideal of every monomial curve in the affine or projective three-dimensional space can be set-theoretically defined by three binomial equations, two of which set-theoretically define a determinantal ideal generated by the 2-minors of a $2\times 3$ matrix with monomial entries.Algebraic GeometryCommutative Algebra13C40; 14H50; 14M25text