2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65961Let R be a standard graded ring over a commutative Noetherian ring with unity and I a graded ideal of R. Let M be a finitely generated graded R-module. We prove that there exist integers e and ρ_M(I) such that for all large n, reg(I^nM)= ρ_M(I)n+e.7 pagesCommutative Algebratext