Functors Associated to Relations on Hypergroups and Hypermodules
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912244274561024 |
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| author | Afshar, Behnam Ameri, Reza |
| author_facet | Afshar, Behnam Ameri, Reza |
| contents | If H is a strongly regular hypergroup, we show that the set of regular relations on H and the set of subhypergroups containing $0_{H}$ are two lattices that are isomorphic to each other. In the next step, we introduce and study the properties of functors that are constructed by a sequence of strongly regular relations. This helps us to define a specific type of free objects and tensor products on the category of regular hypergroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17467 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Functors Associated to Relations on Hypergroups and Hypermodules Afshar, Behnam Ameri, Reza General Mathematics 20N20, 18A05 If H is a strongly regular hypergroup, we show that the set of regular relations on H and the set of subhypergroups containing $0_{H}$ are two lattices that are isomorphic to each other. In the next step, we introduce and study the properties of functors that are constructed by a sequence of strongly regular relations. This helps us to define a specific type of free objects and tensor products on the category of regular hypergroups. |
| title | Functors Associated to Relations on Hypergroups and Hypermodules |
| topic | General Mathematics 20N20, 18A05 |
| url | https://arxiv.org/abs/2502.17467 |