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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.00920 |
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| _version_ | 1866909732852203520 |
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| author | Sun, Yongliang Zhang, Yaohua |
| author_facet | Sun, Yongliang Zhang, Yaohua |
| contents | Based on the recent works of M. Saorin and A. Zvonoreva on gluing (co)silting objects and of L. Angeler Hugel, R. Laking, J. Stovicek and J. Vitoria on mutating (co)silting objects, we first study further on gluing pure-injective cosilting objects in algebraically compactly generated triangulated categories and gluing cosilting complexes in the derived categories of rings. Then we discuss the compatibility of cosilting gluing and cosilting mutation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00920 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on gluing cosilting objects Sun, Yongliang Zhang, Yaohua Representation Theory (2020):18G80, 18E10 Based on the recent works of M. Saorin and A. Zvonoreva on gluing (co)silting objects and of L. Angeler Hugel, R. Laking, J. Stovicek and J. Vitoria on mutating (co)silting objects, we first study further on gluing pure-injective cosilting objects in algebraically compactly generated triangulated categories and gluing cosilting complexes in the derived categories of rings. Then we discuss the compatibility of cosilting gluing and cosilting mutation. |
| title | A note on gluing cosilting objects |
| topic | Representation Theory (2020):18G80, 18E10 |
| url | https://arxiv.org/abs/2311.00920 |