2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66347The paper contains the computation of the noncommutative A-ideal of the figure-eight knot, a noncommutative generalization of the A-polynomial. We show that if a knot has the same noncommutative A-ideal as the figure-eight knot, then all colored Kauffman brackets are the same as those of the figure-eight knot.21 pages, 12 figuresGeometric TopologyQuantum Algebra57M27The computation of the non-commutative generalization of the A-polynomial for the figure-eight knottext