فهرست نشریات علمی دسترسی آزاد ایران

    In this article we investigate filters of cozero sets for real-valued continuous functions, called $coz$-filters. Much is known for $z$-ultrafilters and their correspondence with maximal ideals of $C(X)$.  Similarly, a correspondence will be established between $coz$-ultrafilters and minimal prime ideals of $C(X)$.  We will further notice various properties of $coz$-ultrafilters in relation to $P$-spaces and  $F$-spaces.  In the last two sections, the collection of $coz$-ultrafilters will be topologized, and then compared to the hull-kernel and the inverse topologies placed on the collection of minimal prime ideals of $C(X)$ and general lattice-ordered groups.