The syzygy theorem for Bézout rings
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866929227379507200 |
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| author | Gamanda, Maroua Lombardi, Henri Neuwirth, Stefan Yengui, Ihsen |
| author_facet | Gamanda, Maroua Lombardi, Henri Neuwirth, Stefan Yengui, Ihsen |
| contents | We provide constructive versions of Hilbert's syzygy theorem for Z and Z/nZ following Schreyer's method. Moreover, we extend these results to arbitrary coherent strict Bézout rings with a divisibility test for the case of finitely generated modules whose module of leading terms is finitely generated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_08117 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | The syzygy theorem for Bézout rings Gamanda, Maroua Lombardi, Henri Neuwirth, Stefan Yengui, Ihsen Commutative Algebra 13D02, 13P10, 13C10, 13P20, 14Q20 We provide constructive versions of Hilbert's syzygy theorem for Z and Z/nZ following Schreyer's method. Moreover, we extend these results to arbitrary coherent strict Bézout rings with a divisibility test for the case of finitely generated modules whose module of leading terms is finitely generated. |
| title | The syzygy theorem for Bézout rings |
| topic | Commutative Algebra 13D02, 13P10, 13C10, 13P20, 14Q20 |
| url | https://arxiv.org/abs/1905.08117 |