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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.17477 |
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| _version_ | 1866911784912289792 |
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| author | Cao, Weiqing Wei, Jiaqun |
| author_facet | Cao, Weiqing Wei, Jiaqun |
| contents | We introduce the notion of (strongly) $n$-AIR-tilting modules, which is a high dimension version of support $τ$-tilting modules. The relations between them and $n$-silting modules and $n$-quasi-tilting modules, as well as generalized two-term silting complexes, are investigated. Our results particularly suggest a way to negate the rank question for silting complexes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17477 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strongly $n$-AIR-tilting modules Cao, Weiqing Wei, Jiaqun Representation Theory We introduce the notion of (strongly) $n$-AIR-tilting modules, which is a high dimension version of support $τ$-tilting modules. The relations between them and $n$-silting modules and $n$-quasi-tilting modules, as well as generalized two-term silting complexes, are investigated. Our results particularly suggest a way to negate the rank question for silting complexes. |
| title | Strongly $n$-AIR-tilting modules |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2402.17477 |