Globalization of partial inverse semigroupoid actions on sets
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929330981961728 |
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| author | Demeneghi, Paulinho Tasca, Felipe Augusto |
| author_facet | Demeneghi, Paulinho Tasca, Felipe Augusto |
| contents | We prove that every partial action of an inverse semigroupoid on a set admits a universal globalization. Moreover, we show that our construction gives a reflector from the category of partial actions on the full subcategory of global actions. Finally, we investigate if the mediating function given by the universal property of our construction is injective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08693 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Globalization of partial inverse semigroupoid actions on sets Demeneghi, Paulinho Tasca, Felipe Augusto Operator Algebras Category Theory Dynamical Systems Rings and Algebras 18B40 (Primary), 20M30 (Secundary) We prove that every partial action of an inverse semigroupoid on a set admits a universal globalization. Moreover, we show that our construction gives a reflector from the category of partial actions on the full subcategory of global actions. Finally, we investigate if the mediating function given by the universal property of our construction is injective. |
| title | Globalization of partial inverse semigroupoid actions on sets |
| topic | Operator Algebras Category Theory Dynamical Systems Rings and Algebras 18B40 (Primary), 20M30 (Secundary) |
| url | https://arxiv.org/abs/2310.08693 |