Cozero complemented frames

The Tychonoff spaces X for which the minimal prime ideal space Min ( C ( X ) ) is compact have an internal characterization, namely that for every cozero set U of X there is a cozero set Vsuch that U ∩ V = ∅ and U ∪ V is dense. For this reason they are called cozero complemented. In the setting of frames one also has that Min ( R L ) is compact precisely if for every c ∈ Coz L , there is a d ∈ Coz L with c ∧ d = 0 and c ∨ d dense. Our aim in this paper is to examine how far the spatial characterizations extend to the larger terrain of pointfree topology.