Families of k-derivations on k-algebras
| dc.creator | Bonnet, Philippe | |
| dc.date | 2006-02-10 | |
| dc.date.accessioned | 2026-07-07T07:03:17Z | |
| dc.date.available | 2026-07-07T07:03:17Z | |
| dc.description | Let $A$ be an integral $k$-algebra of finite type over a field $k$ of characteristic zero. Let ${\cal{F}}$ be a family of $k$-derivations on $A$ and $M_{\cal{F}}$ the $A$-module spanned by ${\cal{F}}$. In this paper, we generalize a result due to A. Nowicki and construct an element $\partial$ of $M_{\cal{F}}$ such that $\ker \partial=\cap_{d\in {\cal{F}}} \ker d$. Such a derivation is called ${\cal{F}}$-minimal. Then we establish a density theorem for ${\cal{F}}$-minimal derivations in $M_{\cal{F}}$. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602220 | |
| dc.identifier | http://arxiv.org/abs/math/0602220 | |
| dc.identifier | Journal of Pure and Applied Algebra 199 (2005) 11-26 | |
| dc.identifier | doi:10.1016/j.jppa.2004.12.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108918 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13N15; 13A99; 13A50 | |
| dc.title | Families of k-derivations on k-algebras | |
| dc.type | text |