On the Problem of Separating Variables in Multivariate Polynomial Ideals
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909212873850880 |
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| author | Buchacher, Manfred Kauers, Manuel |
| author_facet | Buchacher, Manfred Kauers, Manuel |
| contents | For a given ideal I in K[x_1,...,x_n,y_1,...,y_m] in a polynomial ring with n+m variables, we want to find all elements that can be written as f-g for some f in K[x_1,...,x_n] and some g in K[y_1,...,y_m], i.e., all elements of I that contain no term involving at the same time one of the x_1,...,x_n and one of the y_1,...,y_m. For principal ideals and for ideals of dimension zero, we give a algorithms that compute all these polynomials in a finite number of steps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19223 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Problem of Separating Variables in Multivariate Polynomial Ideals Buchacher, Manfred Kauers, Manuel Symbolic Computation For a given ideal I in K[x_1,...,x_n,y_1,...,y_m] in a polynomial ring with n+m variables, we want to find all elements that can be written as f-g for some f in K[x_1,...,x_n] and some g in K[y_1,...,y_m], i.e., all elements of I that contain no term involving at the same time one of the x_1,...,x_n and one of the y_1,...,y_m. For principal ideals and for ideals of dimension zero, we give a algorithms that compute all these polynomials in a finite number of steps. |
| title | On the Problem of Separating Variables in Multivariate Polynomial Ideals |
| topic | Symbolic Computation |
| url | https://arxiv.org/abs/2405.19223 |