2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65474This article first presents two examples of algorithms that extracts information on scheme out of its defining equations. We also give a review on the notion of Castelnuovo-Mumford regularity, its main properties (in particular its relation to computational issues) and different ways that were used to estimate it.Commutative AlgebraAlgebraic Geometry13P10; 14Q20; 13D45; 13D02text