  Let $R$ 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.
