Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollements
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911191353262080 |
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| author | Wang, Yongduo Luo, Hongyang Liu, Yu-Zhe He, Jian Wu, Dejun |
| author_facet | Wang, Yongduo Luo, Hongyang Liu, Yu-Zhe He, Jian Wu, Dejun |
| contents | In this article, we prove that if (A, B, C) is a recollement of abelian categories, then Wakamatsu tilting (resp. weak support tau-tilting) subcategories in A and C can induce Wakamatsu tilting (resp. weak support tau-tilting) subcategories in B, and the converses hold under natural assumptions. As an application, we mainly consider the relationship of tau-cotorsion torsion triples in (A, B, C). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07026 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollements Wang, Yongduo Luo, Hongyang Liu, Yu-Zhe He, Jian Wu, Dejun Representation Theory Category Theory K-Theory and Homology 18G80, 18E10, 18E40 In this article, we prove that if (A, B, C) is a recollement of abelian categories, then Wakamatsu tilting (resp. weak support tau-tilting) subcategories in A and C can induce Wakamatsu tilting (resp. weak support tau-tilting) subcategories in B, and the converses hold under natural assumptions. As an application, we mainly consider the relationship of tau-cotorsion torsion triples in (A, B, C). |
| title | Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollements |
| topic | Representation Theory Category Theory K-Theory and Homology 18G80, 18E10, 18E40 |
| url | https://arxiv.org/abs/2409.07026 |