2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129099In this paper we give an algorithmic characterization of rank two locally nilpotent derivations in dimension three. Together with an algorithm for computing the plinth ideal, this gives a method for computing the rank of a locally nilpotent derivation in dimension three.9 pages; Maple implementation available under requestCommutative AlgebraAlgebraic Geometry14R10; 13P10Characterization of rank two locally nilpotent derivations in dimension threetext