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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/2404.10377 |
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| _version_ | 1866910978620260352 |
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| author | Buchacher, Manfred |
| author_facet | Buchacher, Manfred |
| contents | We present a semi-algorithm which for any irreducible $p\in\mathbb{K}[x,y]$ finds all elements of $\mathbb{K}(x) + \mathbb{K}(y)$ that are of the form $qp$ for some $q\in\mathbb{K}(x,y)$ whose denominator is not divisible by $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10377 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Separating Variables in Bivariate Polynomial Ideals: the Local Case Buchacher, Manfred Commutative Algebra F.2.2; I.1.2 We present a semi-algorithm which for any irreducible $p\in\mathbb{K}[x,y]$ finds all elements of $\mathbb{K}(x) + \mathbb{K}(y)$ that are of the form $qp$ for some $q\in\mathbb{K}(x,y)$ whose denominator is not divisible by $p$. |
| title | Separating Variables in Bivariate Polynomial Ideals: the Local Case |
| topic | Commutative Algebra F.2.2; I.1.2 |
| url | https://arxiv.org/abs/2404.10377 |