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 |
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Shahid Beheshti University
2015-07-01
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| Series: | Categories and General Algebraic Structures with Applications |
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| Online Access: | http://www.cgasa.ir/article_10031_d6b54d9be2f2a6c5a9c0ff061f40bc88.pdf |
| _version_ | 1811218258145050624 |
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| author | Halimeh Moghbeli Damaneh |
| author_facet | Halimeh Moghbeli Damaneh |
| author_sort | Halimeh Moghbeli Damaneh |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T07:07:56Z |
| format | Article |
| id | doaj.art-0940a62854b742c7a593967083e26f9b |
| institution | Directory Open Access Journal |
| issn | 2345-5853 2345-5861 |
| language | English |
| last_indexed | 2024-04-12T07:07:56Z |
| publishDate | 2015-07-01 |
| publisher | Shahid Beheshti University |
| record_format | Article |
| series | Categories and General Algebraic Structures with Applications |
| spelling | doaj.art-0940a62854b742c7a593967083e26f9b2022-12-22T03:42:44ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612015-07-0131214210031Actions of a separately strict cpo-monoid on pointed directed complete posetsHalimeh Moghbeli Damaneh0Shahid Beheshti University 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.http://www.cgasa.ir/article_10031_d6b54d9be2f2a6c5a9c0ff061f40bc88.pdfDirected complete partially ordered setProductcoproductcartesian closed |
| spellingShingle | Halimeh Moghbeli Damaneh Actions of a separately strict cpo-monoid on pointed directed complete posets Categories and General Algebraic Structures with Applications Directed complete partially ordered set Product coproduct cartesian closed |
| title | Actions of a separately strict cpo-monoid on pointed directed complete posets |
| title_full | Actions of a separately strict cpo-monoid on pointed directed complete posets |
| title_fullStr | Actions of a separately strict cpo-monoid on pointed directed complete posets |
| title_full_unstemmed | Actions of a separately strict cpo-monoid on pointed directed complete posets |
| title_short | Actions of a separately strict cpo-monoid on pointed directed complete posets |
| title_sort | actions of a separately strict cpo monoid on pointed directed complete posets |
| topic | Directed complete partially ordered set Product coproduct cartesian closed |
| url | http://www.cgasa.ir/article_10031_d6b54d9be2f2a6c5a9c0ff061f40bc88.pdf |
| work_keys_str_mv | AT halimehmoghbelidamaneh actionsofaseparatelystrictcpomonoidonpointeddirectedcompleteposets |