concerning strongly divisible, strongly fixed, and strongly z-ideals in rl

As usual, the ring of continuous real-valued func tions on a frame l is denoted by rl. we determine the rela tion among strongly z-ideals, strongly divisible ideals and uniformly closed ideals in the ring rl. we characterize lindel¨of frames based on strongly fixed ideals in rl. we observe that a weakly spatial frame l is lindel¨of if and only if every strongly divisible ideal in rl is strongly fixed; if and only if every closed ideal in rl is strongly fixed.