  We consider ideals $I$ in a Stanley-Reisner ring $k[\Delta]$ over the
simplical complex $\Delta$, such that the tight closure of $I$, $I^*$, is equal
to $\mathfrak{m}$, the standard graded maximal ideal of $k[\Delta]$. We
determine the minimal number of generators of $I$ to be the $\dim \Delta+1$ and
note the important role this value plays in bounding the intersection of all
such ideals $I$. We make mention of this intersection in special cases of
Stanley-Reisner rings. We conclude with a description of how this work relates
to integral closure.
