We study primary ideals of the ring of real-valued continuous functions on a completely regular frame . We observe that prime ideals and primary ideals coincide in a -frame. It is shown that every primary ideal in is contained in a unique maximal ideal, and an ideal in is primary if and only if is a primary ideal in . We show that every pseudo-prime (primary) ideal in is either an essential ideal or a maximal ideal which is at the same time a minimal prime ideal. Finally, we prove that if is a connected frame, then the zero ideal in is decomposable if and only if .
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