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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.17516 |
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| _version_ | 1866912463347253248 |
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| author | Huerta, Mindy Y. |
| author_facet | Huerta, Mindy Y. |
| contents | In this paper, we provide an interpretation of the existing reduction process for extriangulated categories in general. This process allows us to obtain a new category which, for well-known cases, admits a triangulated structure. We will show that in general this new category is extriangulated but not necessarily triangulated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17516 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Iyama-Yoshino reduction in extriangulated categories Huerta, Mindy Y. Representation Theory 18G80 (Primary) 18G10, 18G25 (Secondary) In this paper, we provide an interpretation of the existing reduction process for extriangulated categories in general. This process allows us to obtain a new category which, for well-known cases, admits a triangulated structure. We will show that in general this new category is extriangulated but not necessarily triangulated. |
| title | On the Iyama-Yoshino reduction in extriangulated categories |
| topic | Representation Theory 18G80 (Primary) 18G10, 18G25 (Secondary) |
| url | https://arxiv.org/abs/2401.17516 |