2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64754We develop a method of reducing the size of quantum minors in the algebra of n x n quantum matrices. The method is used to show that quantum determinantal factor rings of n x n quantum matrices over the complex numbers are maximal orders, when the parameter q is transcendental over the rational numbers.16 pagesQuantum AlgebraRings and Algebras16P40; 16W35; 20G42text