2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140984Bounds for the maximal degree of certain Gröbner bases of simplicial toric ideals are given. These bounds are close to the bound stated in Eisenbud-Goto's Conjecture on the Castelnuovo-Mumford regularity.Commutative Algebra13P10; 13F20; 14M25text