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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.11606 |
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| _version_ | 1866912073482502144 |
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| author | Li, Yao |
| author_facet | Li, Yao |
| contents | The coprimary filtration is a basic construction in commutative algebra. In this article, we prove the existence and uniqueness of coprimary filtration of modules (not necessarily finitely generated) over a Noetherian ring. Moreover, we also prove the existence and uniqueness of coprimary filtrations of coherent sheaves over a locally Noetherian scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11606 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Coprimary Filtrations Li, Yao Commutative Algebra Algebraic Geometry The coprimary filtration is a basic construction in commutative algebra. In this article, we prove the existence and uniqueness of coprimary filtration of modules (not necessarily finitely generated) over a Noetherian ring. Moreover, we also prove the existence and uniqueness of coprimary filtrations of coherent sheaves over a locally Noetherian scheme. |
| title | On Coprimary Filtrations |
| topic | Commutative Algebra Algebraic Geometry |
| url | https://arxiv.org/abs/2410.11606 |