The Category of Hypergroups: seeking for a generalized version of Abelian Categories
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866911145917415424 |
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| author | Roberto, Kaique Matias de Andrade Tenório, Ana Luiza |
| author_facet | Roberto, Kaique Matias de Andrade Tenório, Ana Luiza |
| contents | In this paper we study categorical properties of the category of abelian hypergroups that leads to the notion of hyper (almost) preadditive and hyper (almost) abelian categories. Our goal is to create a path towards a general theory of homological algebra for hyper-algebras. This is a first attempt to achieve this goal. We hope to improve the definitions and results, and provide more examples soon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_02362 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Category of Hypergroups: seeking for a generalized version of Abelian Categories Roberto, Kaique Matias de Andrade Tenório, Ana Luiza Category Theory 20N20 (Primary) 18E99 (Secondary) In this paper we study categorical properties of the category of abelian hypergroups that leads to the notion of hyper (almost) preadditive and hyper (almost) abelian categories. Our goal is to create a path towards a general theory of homological algebra for hyper-algebras. This is a first attempt to achieve this goal. We hope to improve the definitions and results, and provide more examples soon. |
| title | The Category of Hypergroups: seeking for a generalized version of Abelian Categories |
| topic | Category Theory 20N20 (Primary) 18E99 (Secondary) |
| url | https://arxiv.org/abs/2205.02362 |