2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149812For several computational procedures such as finding radicals and Noether normalizations, it is important to choose as sparse as possible a system of parameters in a polynomial ideal or modulo a polynomial ideal. We describe new strategies for these tasks, thus providing solutions to problems (1) and (2) posed in [Eisenbud-Huneke-Vasconcelos 1992].15 pages, plainTEXAlgebraic GeometryCommutative Algebratext