2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63095The noncommutative A-ideal of a knot is a generalization of the A-polynomial, defined using Kauffman bracket skein modules. In this paper we show that any knot that has the same noncommutative A-ideal as the (2,2p+1)-torus knot has the same colored Jones polynomials. This is a consequence of the orthogonality relation, which yields a recursive relation for computing all colored Jones polynomials of the knot.15 pages, Latex, 13 figuresGeometric TopologyQuantum Algebra57M27text