Smooth sequences and overring operators
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915626772070400 |
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| author | Spirito, Dario |
| author_facet | Spirito, Dario |
| contents | We introduce smooth sequences of integral domains as well-ordered ascending chains that behave well at limit ordinals. Subsequently, we use this notion to give some conditions on the freeness of kernels of extension maps between groups of invertible ideals of Prüfer domains. We also define overring operators to construct smooth sequences in a recursive way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Smooth sequences and overring operators Spirito, Dario Commutative Algebra We introduce smooth sequences of integral domains as well-ordered ascending chains that behave well at limit ordinals. Subsequently, we use this notion to give some conditions on the freeness of kernels of extension maps between groups of invertible ideals of Prüfer domains. We also define overring operators to construct smooth sequences in a recursive way. |
| title | Smooth sequences and overring operators |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2511.15319 |