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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.02691 |
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| _version_ | 1866909806191706112 |
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| author | Liang, Li Ma, Yajun Yang, Gang |
| author_facet | Liang, Li Ma, Yajun Yang, Gang |
| contents | We study the behavior of the Gorenstein weak global dimension under a cleft extension of rings; we prove that under some mild conditons the finiteness of the Gorenstein weak global dimension is invariant. Moreover, we compare the relative singularity categories with respect to flat-cotorsion modules under a cleft extension of rings. Some applications to θ-extensions and Morita context rings are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02691 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homological invariant properties under cleft extensions Liang, Li Ma, Yajun Yang, Gang Category Theory Rings and Algebras We study the behavior of the Gorenstein weak global dimension under a cleft extension of rings; we prove that under some mild conditons the finiteness of the Gorenstein weak global dimension is invariant. Moreover, we compare the relative singularity categories with respect to flat-cotorsion modules under a cleft extension of rings. Some applications to θ-extensions and Morita context rings are given. |
| title | Homological invariant properties under cleft extensions |
| topic | Category Theory Rings and Algebras |
| url | https://arxiv.org/abs/2506.02691 |