D-inverse constellations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915464542683136 |
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| author | Gould, Victoria Stokes, Tim |
| author_facet | Gould, Victoria Stokes, Tim |
| contents | We give an algebraic characterisation of ordered groupoids, namely, we show that there is a categorical isomophism between the category of ordered groupoids and the category of $D$-inverse constellations. Here constellations are partial algebras in the sense that they possess a partial product, and a unary operation $D$. We consider constellations in which elements have a suitable notion of inverse, giving the notion of a D-inverse constellation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17282 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | D-inverse constellations Gould, Victoria Stokes, Tim Category Theory 20L05 We give an algebraic characterisation of ordered groupoids, namely, we show that there is a categorical isomophism between the category of ordered groupoids and the category of $D$-inverse constellations. Here constellations are partial algebras in the sense that they possess a partial product, and a unary operation $D$. We consider constellations in which elements have a suitable notion of inverse, giving the notion of a D-inverse constellation. |
| title | D-inverse constellations |
| topic | Category Theory 20L05 |
| url | https://arxiv.org/abs/2403.17282 |