2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73290We prove that the initial ideal of the defining ideal of a monomial curve that corresponds to an almost arithmetic sequence of positive integers is Ratliff-Rush closed.8 pages. Submitted to the Rocky Mountain J. of MathematicsCommutative Algebra13P99The Ratliff-Rush Closure of Initial Ideals of Certain Prime Idealstext