A Galois correspondence for radical extensions of fields

DOI10.1016/0022-4049(86)90067-8zbMath0607.12015OpenAlexW1970042668MaRDI QIDQ1085210

Cornelius Greither, David K. Harrison

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90067-8

zbMATH Keywords

radical extensionsfinite field extensionCogalois theory

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (14)

On subfÌields of radical extensions ⋮ A More General Framework for CoGalois Theory ⋮ Unnamed Item ⋮ INFINITE FIELD EXTENSIONS WITH COGALOIS CORRESPONDENCE ⋮ Allowable groups and cogalois extensions ⋮ Radical extensions for the Carlitz module ⋮ Cogalois theory and drinfeld modules ⋮ On cogalois extensions ⋮ From Field Theoretic to Abstract Co-Galois Theory ⋮ SOME EXAMPLES IN COGALOIS THEORY WITH APPLICATIONS TO ELEMENTARY FIELD ARITHMETIC ⋮ PÓLYA FIELDS THAT ARE SPLITTING FIELDS OF S3-FIELDS ⋮ Cogalois extensions via strongly graded fields ⋮ On Kneser extensions ⋮ INFINITE COGALOIS THEORY, CLIFFORD EXTENSIONS, AND HOPF ALGEBRAS

Cites Work

• The torsion group of a radical extension
• The lattice of subfields of a radical extension
• Hopf algebras and Galois theory
• Unnamed Item
• Unnamed Item

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