Strong Gröbner bases and linear algebra in multivariate polynomial rings over Euclidean domains
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915005161537536 |
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| author | Aichinger, Erhard |
| author_facet | Aichinger, Erhard |
| contents | We provide a self-contained introduction to Gröbner bases of submodules of $R[x_1, \ldots, x_n]^k$, where $R$ is a Euclidean domain, and explain how to use these bases to solve linear systems over $R[x_1, \ldots, x_n]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06994 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong Gröbner bases and linear algebra in multivariate polynomial rings over Euclidean domains Aichinger, Erhard Commutative Algebra 13P10 We provide a self-contained introduction to Gröbner bases of submodules of $R[x_1, \ldots, x_n]^k$, where $R$ is a Euclidean domain, and explain how to use these bases to solve linear systems over $R[x_1, \ldots, x_n]$. |
| title | Strong Gröbner bases and linear algebra in multivariate polynomial rings over Euclidean domains |
| topic | Commutative Algebra 13P10 |
| url | https://arxiv.org/abs/2406.06994 |