Actions of a separately strict cpo-monoid on pointed directed complete posets

‎ in the present article‎, ‎we study some categorical properties of the category {bf‎ cpo_{sep}-s} of all {separately strict s-cpo's}; cpo's equipped with‎ a compatible right action of a separately strict cpo-monoid s which is‎ strict continuous in each component‎. ‎in particular‎, we show that this category is reflective and coreflective in the‎ category of $s$-cpo's‎, ‎find the free and cofree functors‎, characterize products and coproducts‎. ‎furthermore‎, ‎epimorphisms and‎  monomorphisms in {$bf cpo_{sep}-s} are studied‎, ‎and show that‎ {bf cpo_{sep}-s} is not cartesian closed‎.