Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollement
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...
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| Main Authors | , , , |
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| Format | Journal Article |
| Language | English |
| Published |
11.09.2024
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| Subjects | |
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| Abstract | 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). |
|---|---|
| AbstractList | 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). |
| Author | Luo, Hongyang Wu, Dejun He, Jian Wang, Yongduo |
| Author_xml | – sequence: 1 givenname: Yongduo surname: Wang fullname: Wang, Yongduo – sequence: 2 givenname: Hongyang surname: Luo fullname: Luo, Hongyang – sequence: 3 givenname: Jian surname: He fullname: He, Jian – sequence: 4 givenname: Dejun surname: Wu fullname: Wu, Dejun |
| BackLink | https://doi.org/10.48550/arXiv.2409.07026$$DView paper in arXiv |
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| Snippet | 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... |
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| SourceType | Open Access Repository |
| SubjectTerms | Mathematics - Category Theory Mathematics - K-Theory and Homology Mathematics - Representation Theory |
| Title | Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollement |
| URI | https://arxiv.org/abs/2409.07026 |
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