actions of a separately strict cpo-monoid on pointed directed complete posets
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abstract
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.
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Journal title:
categories and general algebraic structures with applicationsPublisher: shahid beheshti university
ISSN 2345-5853
volume 3
issue 1 2015
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