On image ideals of nice and quasi-nice derivations over a UFD
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917948773367808 |
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| author | Dasgupta, Nikhilesh Lahiri, Animesh |
| author_facet | Dasgupta, Nikhilesh Lahiri, Animesh |
| contents | In this paper, for a field $k$ of characteristic zero and a finitely generated $k$-algebra $R$, we give a set of generators for the image ideals of irreducible nice and quasi-nice $R$-derivations on the polynomial ring $R[X,Y]$, where $R$ is a UFD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13787 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On image ideals of nice and quasi-nice derivations over a UFD Dasgupta, Nikhilesh Lahiri, Animesh Commutative Algebra In this paper, for a field $k$ of characteristic zero and a finitely generated $k$-algebra $R$, we give a set of generators for the image ideals of irreducible nice and quasi-nice $R$-derivations on the polynomial ring $R[X,Y]$, where $R$ is a UFD. |
| title | On image ideals of nice and quasi-nice derivations over a UFD |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2302.13787 |