on f′c-spaces

A space x is an fc′-space if for each f ∈ cc(x), pos f and neg f have disjoint closures. it is shown that a strongly zero-dimensional space x is an f′-space if and only if x is an fc′-space. fc′-spaces are characterized. we observe that x is an fc′-space if and only if for every p ∈ x, the ideal ocp is prime if and only if every zc-embedded subspace (or, cozero-set incc(x)) is cf -embedded in its closure.