2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65049We find explicit bounds on the primary components and on the Castelnuovo-Mumford regularity of powers of monomial ideals. We also analyze the primary decompositions of Katzman's example.Commutative Algebra13A17, 13A35Linear bounds on growth of associated primestext