Left Schur subcategories in recollements
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917024552189952 |
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| author | Zhang, Yingying Song, Dajun |
| author_facet | Zhang, Yingying Song, Dajun |
| contents | Recently left Schur subcategories in a length abelian category were introduced by Enomoto, which unify torsion-free classes and wide subcategories. In this paper, we show the construction of left Schur subcategories in the recollements of length abelian categories. Moreover, we show the construction restricts to wide subcategories and torsion-free classes. As an application, we give an explicit construction of cofinally closed monobricks in recollements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Left Schur subcategories in recollements Zhang, Yingying Song, Dajun Representation Theory 16G10, 18A40, 18E10 Recently left Schur subcategories in a length abelian category were introduced by Enomoto, which unify torsion-free classes and wide subcategories. In this paper, we show the construction of left Schur subcategories in the recollements of length abelian categories. Moreover, we show the construction restricts to wide subcategories and torsion-free classes. As an application, we give an explicit construction of cofinally closed monobricks in recollements. |
| title | Left Schur subcategories in recollements |
| topic | Representation Theory 16G10, 18A40, 18E10 |
| url | https://arxiv.org/abs/2510.16436 |