Let be a perfect field of characteristic , the perfect closure of and a -algebra. We characterize whether the ring
is noetherian or not. As a consequence, we prove that the ring is noetherian when is the ring of formal power series in indeterminates over .
Cite this article
Magdalena Fernández Lebrón, Luis Narváez Macarro, Conservation of the noetherianity by perfect transcendental field extensions. Rev. Mat. Iberoam. 19 (2003), no. 2, pp. 355–366DOI 10.4171/RMI/351