2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158523Gotzmann proved the persistence for minimal growth for ideals. His theorem is called Gotzmann's persistence theorem. In this paper, based on the combinatorics on binomial coefficients, a simple combinatorial proof of Gotzmann's persistence theorem in the special case of monomial ideals is given.CombinatoricsCommutative Algebra05E99, 13F20text