Kummer theory without roots of unity

DOI10.1016/0022-4049(88)90003-5zbMath0638.13007OpenAlexW1963663418MaRDI QIDQ1099222

Ina Kersten, Johannes Michaliček

Publication date: 1988

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(88)90003-5

zbMATH Keywords

Kummer theoryGalois extensionnormal basis

Mathematics Subject Classification ID

Galois theory (11R32) Galois cohomology (12G05) Galois theory and commutative ring extensions (13B05)

Related Items

Galois extensions of prime degree ⋮ \(\mathbb Z_p\)-extensions of complex multiplication fields ⋮ On Vandiver's conjecture and \({\mathbb{Z}}_ p\)-extensions of \({\mathbb{Q}}(\zeta_{p^ n})\) ⋮ Cyclic Galois Extensions and Normal Bases

Cites Work

• Generic Galois extensions and problems in field theory
• Das Einbettungsproblem für zyklische p**n-Erweiterungen über einem semilokalen Ring
• Kubische galoiserweiterungen mit normalbasis
• Galoiserweiterungen der ordnung p mit normalbasis
• Separable Algebras Over Commutative Rings
• A Cohomological Description of Abelian Galois Extensions
• Galois Extensions as Modules over the Group Ring
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