%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