The axioms for right (n+2)-angulated categories
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929492487831552 |
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| author | He, Jing Li, Jiangsha |
| author_facet | He, Jing Li, Jiangsha |
| contents | Drawing inspiration from the works of Beligiannis-Marmaridis and Lin, we refine the axioms for a right $(n+2)$-angulated category and give some examples of such categories. Interestingly, we show that the morphism axiom for a right $(n+2)$-angulated category is actually redundant. Moreover, we prove that the higher octahedral axiom is equivalent to the mapping cone axiom for a right $(n+2)$-angulated category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05561 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The axioms for right (n+2)-angulated categories He, Jing Li, Jiangsha Representation Theory Category Theory Drawing inspiration from the works of Beligiannis-Marmaridis and Lin, we refine the axioms for a right $(n+2)$-angulated category and give some examples of such categories. Interestingly, we show that the morphism axiom for a right $(n+2)$-angulated category is actually redundant. Moreover, we prove that the higher octahedral axiom is equivalent to the mapping cone axiom for a right $(n+2)$-angulated category. |
| title | The axioms for right (n+2)-angulated categories |
| topic | Representation Theory Category Theory |
| url | https://arxiv.org/abs/2409.05561 |