2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213152Let $I$ be an $m$-generated complete intersection monomial ideal in $S=K[x_1,...,x_n]$. We show that the Stanley depth of $I$ is $n-\floor{\frac{m}{2}}$. We also study the upper-discrete structure for monomial ideals and prove that if $I$ is a squarefree monomial ideal minimally generated by 3 elements, then the Stanley depth of $I$ is $n-1$.Updated version. 9 pages. To appear in Journal of AlgebraCommutative AlgebraPrimary 13C13, Secondary 05E99, 06A07text