2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106229The Hilbert function of a module over a positively graded algebra is of quasi-polynomial type (Hilbert--Serre). We derive an upper bound for its grade, i.e. the index from which on its coefficients are constant. As an application, we give a purely algebraic proof of an old combinatorial result (due to Ehrhart, McMullen and Stanley).Commutative AlgebraCombinatoricstext