Finiteness of Leaps in the sense of Hasse-Schmidt of reduced rings
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| author | Bravo, A. Hernández, María de la Paz Tirado |
| author_facet | Bravo, A. Hernández, María de la Paz Tirado |
| contents | We give sufficent conditions for a derivation of a $k$-algebra $A$ of finite type to be $\infty$-integrable in the sense of Hasse-Schmidt, when $A$ is a complete intersection, or when $A$ is reduced and $k$ is a regular ring. As a consequence, we prove that, if in addition $A$ contains a field, then the set of leaps of $A$ is finite along the minimal primes of certain Fitting ideal of $Ω_{A/k}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19093 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finiteness of Leaps in the sense of Hasse-Schmidt of reduced rings Bravo, A. Hernández, María de la Paz Tirado Commutative Algebra 13N15 We give sufficent conditions for a derivation of a $k$-algebra $A$ of finite type to be $\infty$-integrable in the sense of Hasse-Schmidt, when $A$ is a complete intersection, or when $A$ is reduced and $k$ is a regular ring. As a consequence, we prove that, if in addition $A$ contains a field, then the set of leaps of $A$ is finite along the minimal primes of certain Fitting ideal of $Ω_{A/k}$. |
| title | Finiteness of Leaps in the sense of Hasse-Schmidt of reduced rings |
| topic | Commutative Algebra 13N15 |
| url | https://arxiv.org/abs/2409.19093 |