Conservation of the noetherianity by perfect transcendental field extensions
| dc.creator | Fernandez-Lebron, M. | |
| dc.creator | Narvaez-Macarro, L. | |
| dc.date | 2001-03-15 | |
| dc.date.accessioned | 2026-07-07T04:40:39Z | |
| dc.date.available | 2026-07-07T04:40:39Z | |
| dc.description | Let $k$ be a perfect field of characteristic $p>0$, $k(t)_{per}$ the perfect closure of $k(t)$ and $A$ a $k$-algebra. We characterize whether the ring $A\otimes_k k(t)_{per}$ is noetherian or not. As a consequence, we prove that the ring $A\otimes_k k(t)_{per}$ is noetherian when $A$ is the ring of formal power series in $n$ indeterminates over $k$. | |
| dc.description | 14 pages, LaTeX (http://www.us.es/da/prepubli/nsprep8.pdf) | |
| dc.identifier | https://arxiv.org/abs/math/0103099 | |
| dc.identifier | http://arxiv.org/abs/math/0103099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61096 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13E05 (Primary) 13B35, 13A35 (Secondary) | |
| dc.title | Conservation of the noetherianity by perfect transcendental field extensions | |
| dc.type | text |