Globalization of Partial Actions of Ordered Groupoids on Rings
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910770006065152 |
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| author | Lautenschlaeger, Wesley G. Tamusiunas, Thaísa |
| author_facet | Lautenschlaeger, Wesley G. Tamusiunas, Thaísa |
| contents | We provide a necessary and sufficient condition to the existence of an ordered globalization of a partial ordered action of an ordered groupoid on a ring and we also present criteria to obtain uniqueness. Furthermore, we apply those results to obtain a Morita context and to show that an inverse semigroup partial action has a globalization (unique up to isomorphism) if, and only if, it is unital. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16758 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Globalization of Partial Actions of Ordered Groupoids on Rings Lautenschlaeger, Wesley G. Tamusiunas, Thaísa Rings and Algebras We provide a necessary and sufficient condition to the existence of an ordered globalization of a partial ordered action of an ordered groupoid on a ring and we also present criteria to obtain uniqueness. Furthermore, we apply those results to obtain a Morita context and to show that an inverse semigroup partial action has a globalization (unique up to isomorphism) if, and only if, it is unital. |
| title | Globalization of Partial Actions of Ordered Groupoids on Rings |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2402.16758 |