Monobricks in extriangulated length categories
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908707142500352 |
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| author | Mei, Yuxia Wang, Li Wei, Jiaqun |
| author_facet | Mei, Yuxia Wang, Li Wei, Jiaqun |
| contents | In this paper, we introduce the notation of monobricks in an extriangulated length category as a generalization of the semibricks. We prove that there is a bijection between monobricks and left Schur subcategories. Then we show that this bijection restricts to bijection between cofinally closed monobricks and torsion-free classes. These extend the results of Enomoto for abelian length categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11211 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monobricks in extriangulated length categories Mei, Yuxia Wang, Li Wei, Jiaqun Category Theory In this paper, we introduce the notation of monobricks in an extriangulated length category as a generalization of the semibricks. We prove that there is a bijection between monobricks and left Schur subcategories. Then we show that this bijection restricts to bijection between cofinally closed monobricks and torsion-free classes. These extend the results of Enomoto for abelian length categories. |
| title | Monobricks in extriangulated length categories |
| topic | Category Theory |
| url | https://arxiv.org/abs/2512.11211 |