Concerning the frame of minimal prime ideals of pointfree function rings

Let l be a completely regular frame and rl be the ring of continuous real-valued functions on l. we study the frame σ(min(rl)) of minimal prime ideals of rl in relation to βl. for i ∈ βl, denote by o^i the ideal {α ∈ rl j coz α ∈ i of rl}. we show that sending i to the set of minimal prime ideals not containing o^i produces a *-dense one-one frame homomorphism βl→ σ(min(rl)) which is an isomorphism if and only if l is basically disconnected.