Sous-corps fermés d'un corps valué

DOI10.1016/0021-8693(84)90186-8zbMath0544.12016OpenAlexW1985954180MaRDI QIDQ796577

Marc Reversat, Michel Matignon

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90186-8

zbMATH Keywords

extensions of valuationstranscendental extensioncomplete non-Archimedean valued fieldcontinuous Galois groupdifferent of an infinite field extension

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Transcendental field extensions (12F20) Inseparable field extensions (12F15) Non-Archimedean valued fields (12J25)

Related Items (4)

Factorization over local fields and the irreducibility of generalized difference polynomials ⋮ Perfectoid Spaces: An Annotated Bibliography ⋮ Endomorphisms of power series fields and residue fields of Fargues-Fontaine curves ⋮ Topological transcendence degree

Cites Work

• Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern. I-III.)
• On the zeta function of a hypersurface. I
• On automorphisms of local fields
• Zeros of polynomials over local fields. The Galois action
• Produit Tensoriel Topologique de Corps Values
• Sur les automorphismes continus d'extensions transcendantes valuées.
• Algèbres $L^1$ $p$-adiques
• Continuous derivations of valued fields
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