  Let $D$ be an integral domain with quotient field $K$. A star-operation
$\star$ on $D$ is a closure operation $A \longmapsto A^\star$ on the set of
nonzero fractional ideals, $F(D)$, of $D$ satisfying the properties:
$(xD)^\star = xD$ and $(xA)^\star = xA^\star$ for all $x \in K^\ast$ and $A \in
F(D)$. Let ${\M S}$ be a multiplicatively closed set of ideals of $D$. For $A
\in F(D)$ define $A_{\M S} = \{x \in K \mid xI \subseteq{A}$, for some $I \in
{\M S}\}$. Then $D_{\M S}$ is an overring of $D$ and $A_{\M S}$ is a fractional
ideal of $D_{\M S}$. Let ${\M S}$ be a multiplicative set of finitely generated
nonzero ideals of $D$ and $A \in F(D)$, then the map $A \longmapsto A_{\M S}$
is a finite character star-operation if and only if for each $I \in {\M S}$,
$I_v = D$. We give an example to show that this result is not true if the
ideals are not assumed to be finitely generated. In general, the map $A
\longmapsto A_{\M S}$ is a star-operation if and only if $\bar {\M S}$, the
saturation of ${\M S}$, is a localizing GV-system. We also discuss
star-operations given of the form $A \longmapsto \cap AD_\alpha$, where $D =
\cap D_\alpha$.
