2016-10-042016-10-042003Fernández Lebrón, M.M. y Narváez Macarro, L. (2003). Conservation of the noetherianity by perfect transcendental field extensions. Revista Matemática Iberoamericana, 19 (2), 355-366.0213-2230http://hdl.handle.net/11441/46813Let 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Perfect-power series ringNoetherian ringPerfect extensionComplete local ringinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.4171/RMI/351https://idus.us.es/xmlui/handle/11441/46813