TY - JOUR ID - 10031 TI - Actions of a separately strict cpo-monoid on pointed directed complete posets JO - Categories and General Algebraic Structures with Applications JA - CGASA LA - en SN - 2345-5853 AU - Moghbeli Damaneh, Halimeh AD - Shahid Beheshti University Y1 - 2015 PY - 2015 VL - 3 IS - 1 SP - 21 EP - 42 KW - Directed complete partially ordered set KW - Product KW - coproduct KW - cartesian closed DO - N2 - ‎ 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.      UR - https://cgasa.sbu.ac.ir/article_10031.html L1 - https://cgasa.sbu.ac.ir/article_10031_d6b54d9be2f2a6c5a9c0ff061f40bc88.pdf ER -