%0 Journal Article %T Actions of a separately strict cpo-monoid on pointed directed complete posets %J Categories and General Algebraic Structures with Applications %I Shahid Beheshti University %Z 2345-5853 %A Moghbeli Damaneh, Halimeh %D 2015 %\ 07/01/2015 %V 3 %N 1 %P 21-42 %! Actions of a separately strict cpo-monoid on pointed directed complete posets %K Directed complete partially ordered set %K Product %K coproduct %K cartesian closed %R %X ‎ 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.      %U https://cgasa.sbu.ac.ir/article_10031_d6b54d9be2f2a6c5a9c0ff061f40bc88.pdf