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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2207.04437 |
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| _version_ | 1866917675144314880 |
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| author | Zhang, Peiyu Wang, Xinyu Liu, Dajun Wang, Li Wei, Jiaqun |
| author_facet | Zhang, Peiyu Wang, Xinyu Liu, Dajun Wang, Li Wei, Jiaqun |
| contents | In this paper, we first give a characterization of silting objects in the comma category Assume that C1 and C2 are two subcategories of left R-modules, D1 and D2 be two subcategories of left S-modules. We mainly prove that (C1, C2) and (D1, D2) are torsion pairs if and only if the induced two pairs in the special comma category are torsion pairs under certain conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_04437 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Silting objects and torsion pairs in comma categories Zhang, Peiyu Wang, Xinyu Liu, Dajun Wang, Li Wei, Jiaqun Rings and Algebras In this paper, we first give a characterization of silting objects in the comma category Assume that C1 and C2 are two subcategories of left R-modules, D1 and D2 be two subcategories of left S-modules. We mainly prove that (C1, C2) and (D1, D2) are torsion pairs if and only if the induced two pairs in the special comma category are torsion pairs under certain conditions. |
| title | Silting objects and torsion pairs in comma categories |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2207.04437 |