2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209713Let $R$ be a commutative integral domain and let $\star$ be a semistar operation of finite type on $R$, and $I$ be a quasi-$\star$-ideal of $R$. We show that, if every minimal prime ideal of $I$ is the radical of a $\star$-finite ideal, then the set $\Min(I)$ of minimal prime ideals over $I$ is finite.Accepted in the Rocky mountain Journal MathCommutative Algebra13A15, 13G05text