2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114026We establish a uniform bound for the Castelnuovo-Mumford regularity of associated graded rings of parameter ideals in a generalized Cohen-Macaulay ring. As consequences, we obtain uniform bounds for the relation type and the postulation number. Moreover, we show that generalized Cohen-Macaulay rings can be characterized by the existence of such uniform bounds.12 pagesCommutative Algebra13H10Uniform bounds in generalized Cohen-Macaulay ringstext