The symmetric monoidal closed category of cpo $M$-sets
In this paper, we show that the category of directed complete posets with bottom elements (cpos) endowed with an action of a monoid $M$ on them forms a monoidal category. It is also proved that this category is symmetric closed.
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Shahid Beheshti University
2020-07-01
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| Series: | Categories and General Algebraic Structures with Applications |
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| Online Access: | https://cgasa.sbu.ac.ir/article_87434_145bf46136675b89ce591ca594d1d767.pdf |
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doaj-51c25001c2e840dd982d00be30dd4ad02021-03-04T23:21:41ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612020-07-0113110512410.29252/cgasa.13.1.10587434The symmetric monoidal closed category of cpo $M$-setsHalimeh Moghbeli0Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, IranIn this paper, we show that the category of directed complete posets with bottom elements (cpos) endowed with an action of a monoid $M$ on them forms a monoidal category. It is also proved that this category is symmetric closed.https://cgasa.sbu.ac.ir/article_87434_145bf46136675b89ce591ca594d1d767.pdfdirected complete partially ordered set$m$-setssymmetric monoidal closed category |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Halimeh Moghbeli |
| spellingShingle |
Halimeh Moghbeli The symmetric monoidal closed category of cpo $M$-sets Categories and General Algebraic Structures with Applications directed complete partially ordered set $m$-sets symmetric monoidal closed category |
| author_facet |
Halimeh Moghbeli |
| author_sort |
Halimeh Moghbeli |
| title |
The symmetric monoidal closed category of cpo $M$-sets |
| title_short |
The symmetric monoidal closed category of cpo $M$-sets |
| title_full |
The symmetric monoidal closed category of cpo $M$-sets |
| title_fullStr |
The symmetric monoidal closed category of cpo $M$-sets |
| title_full_unstemmed |
The symmetric monoidal closed category of cpo $M$-sets |
| title_sort |
symmetric monoidal closed category of cpo $m$-sets |
| publisher |
Shahid Beheshti University |
| series |
Categories and General Algebraic Structures with Applications |
| issn |
2345-5853 2345-5861 |
| publishDate |
2020-07-01 |
| description |
In this paper, we show that the category of directed complete posets with bottom elements (cpos) endowed with an action of a monoid $M$ on them forms a monoidal category. It is also proved that this category is symmetric closed. |
| topic |
directed complete partially ordered set $m$-sets symmetric monoidal closed category |
| url |
https://cgasa.sbu.ac.ir/article_87434_145bf46136675b89ce591ca594d1d767.pdf |
| work_keys_str_mv |
AT halimehmoghbeli thesymmetricmonoidalclosedcategoryofcpomsets AT halimehmoghbeli symmetricmonoidalclosedcategoryofcpomsets |
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1724231576926027776 |