Three homological invariants under cleft extensions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912864633094144 |
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| author | Ma, Yajun Zheng, Junling Liu, Yu-Zhe |
| author_facet | Ma, Yajun Zheng, Junling Liu, Yu-Zhe |
| contents | In this paper, we investigate the behavior of Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories. We apply our results to Morita context rings, trivial extension rings, tensor rings and arrow removals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07804 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three homological invariants under cleft extensions Ma, Yajun Zheng, Junling Liu, Yu-Zhe Category Theory Rings and Algebras Representation Theory 18G80, 18G25, 16E30 In this paper, we investigate the behavior of Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories. We apply our results to Morita context rings, trivial extension rings, tensor rings and arrow removals. |
| title | Three homological invariants under cleft extensions |
| topic | Category Theory Rings and Algebras Representation Theory 18G80, 18G25, 16E30 |
| url | https://arxiv.org/abs/2411.07804 |