An Ehresmann-Schein-Nambooripad-type theorem for left restriction semigroupoids
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918242413445120 |
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| author | Haag, Rafael Lautenschlaeger, Wesley G. Tamusiunas, Thaísa |
| author_facet | Haag, Rafael Lautenschlaeger, Wesley G. Tamusiunas, Thaísa |
| contents | We introduce the concept of locally inductive constellations and establish isomorphisms between the categories of left restriction semigroupoids and locally inductive constellations. This construction offers an alternative to the celebrated Ehresmann-Schein-Nambooripad (ESN) Theorem and, in particular, generalizes results for one-sided restriction semigroups. We also obtain ESN-type theorems for one-sided restriction categories and inverse semigroupoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09881 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Ehresmann-Schein-Nambooripad-type theorem for left restriction semigroupoids Haag, Rafael Lautenschlaeger, Wesley G. Tamusiunas, Thaísa Rings and Algebras 20M50, 20M75 We introduce the concept of locally inductive constellations and establish isomorphisms between the categories of left restriction semigroupoids and locally inductive constellations. This construction offers an alternative to the celebrated Ehresmann-Schein-Nambooripad (ESN) Theorem and, in particular, generalizes results for one-sided restriction semigroups. We also obtain ESN-type theorems for one-sided restriction categories and inverse semigroupoids. |
| title | An Ehresmann-Schein-Nambooripad-type theorem for left restriction semigroupoids |
| topic | Rings and Algebras 20M50, 20M75 |
| url | https://arxiv.org/abs/2512.09881 |