Quotients of extriangulated categories induced by selforthogonal subcategories
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913480507916288 |
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| author | Zhang, Peiyu Shi, Yiwen Liu, Dajun Wang, Li Wei, Jiaqun |
| author_facet | Zhang, Peiyu Shi, Yiwen Liu, Dajun Wang, Li Wei, Jiaqun |
| contents | Let C be an extriangulated category. We prove that two quotient categories of extriangu?lated categories induced by selforthogonal subcategories are equivalent to module categories by restriction of two functors E and Hom, respectively. Moreover, if the selforthogonal sub?category is contravariantly finite, then one of the two quotient categories is abelian. This result can be regarded as a generalization of Demonet-Liu and Zhou-Zhu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14098 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quotients of extriangulated categories induced by selforthogonal subcategories Zhang, Peiyu Shi, Yiwen Liu, Dajun Wang, Li Wei, Jiaqun Rings and Algebras Let C be an extriangulated category. We prove that two quotient categories of extriangu?lated categories induced by selforthogonal subcategories are equivalent to module categories by restriction of two functors E and Hom, respectively. Moreover, if the selforthogonal sub?category is contravariantly finite, then one of the two quotient categories is abelian. This result can be regarded as a generalization of Demonet-Liu and Zhou-Zhu. |
| title | Quotients of extriangulated categories induced by selforthogonal subcategories |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2408.14098 |