2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65186This paper characterizes the Castelnuovo-Mumford regularity by evaluating the initial ideal with respect to the reverse lexicographic order.Commutative AlgebraAlgebraic Geometry13D02; 13P10Evaluations of initial ideals and Castelnuovo-Mumford regularitytext