The Szendrei Expansion of 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_ | 1866916712325054464 |
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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 a restriction semigroupoid S, which unifies the notion of restriction semigroups and restriction categories within a single structure. We prove a representation theorem, showing that every restriction semigroupoid can be embedded into a determined category of partial maps. Furthermore, we construct the Szendrei expansion Sz(S) of S and establish that each premorphism between two restriction semigroupoids S and T is uniquely factorized by a morphism between the Szendrei expansion Sz(S) and T. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20217 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Szendrei Expansion of Restriction Semigroupoids Haag, Rafael Lautenschlaeger, Wesley G. Tamusiunas, Thaísa Rings and Algebras 18B40, 18A05 We introduce the concept of a restriction semigroupoid S, which unifies the notion of restriction semigroups and restriction categories within a single structure. We prove a representation theorem, showing that every restriction semigroupoid can be embedded into a determined category of partial maps. Furthermore, we construct the Szendrei expansion Sz(S) of S and establish that each premorphism between two restriction semigroupoids S and T is uniquely factorized by a morphism between the Szendrei expansion Sz(S) and T. |
| title | The Szendrei Expansion of Restriction Semigroupoids |
| topic | Rings and Algebras 18B40, 18A05 |
| url | https://arxiv.org/abs/2504.20217 |