Filters of Coz(X)

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 cozultrafilters 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.