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,...
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Format: | Article |
Language: | English |
Published: |
Shahid Beheshti University
2015-07-01
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Series: | Categories and General Algebraic Structures with Applications |
Subjects: | |
Online Access: | http://www.cgasa.ir/article_10031_d6b54d9be2f2a6c5a9c0ff061f40bc88.pdf |
Summary: | 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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ISSN: | 2345-5853 2345-5861 |