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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/2401.04668 |
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| _version_ | 1866909067091378176 |
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| author | Dung, Le Xuan |
| author_facet | Dung, Le Xuan |
| contents | Let $M$ be a finitely generated module of dimention d over a Noetherian local ring (A,m) and I an m-primary ideal. Let be a pair of good I-filtrations F and F' of M. We show that the Hilbert coefficients e_i(F) are bounded below and above in terms of i, e_0(F'),...,e_i(F'), and reduction numbers of F and F', for all i \ge 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04668 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hilbert coefficients of good I-Filtrations of modules Dung, Le Xuan Commutative Algebra Let $M$ be a finitely generated module of dimention d over a Noetherian local ring (A,m) and I an m-primary ideal. Let be a pair of good I-filtrations F and F' of M. We show that the Hilbert coefficients e_i(F) are bounded below and above in terms of i, e_0(F'),...,e_i(F'), and reduction numbers of F and F', for all i \ge 1. |
| title | Hilbert coefficients of good I-Filtrations of modules |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2401.04668 |