Conservation of the noetherianity by perfect transcendental field extensions
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⊗kk(t)per is noetherian when A is the ring of formal power series in n indeterminates over k.
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2003 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/46813 |
| Acesso em linha: | http://hdl.handle.net/11441/46813 https://doi.org/10.4171/RMI/351 |
| Access Level: | acceso abierto |
| Palavra-chave: | Perfect-power series ring Noetherian ring Perfect extension Complete local ring |
| Resumo: | 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⊗kk(t)per is noetherian when A is the ring of formal power series in n indeterminates over k. |
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