Henselian valued stable fields
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Publication:1270410
DOI10.1006/jabr.1997.7396zbMath0919.16010OpenAlexW1984875010MaRDI QIDQ1270410
Publication date: 7 September 1999
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1997.7396
exponentindexfinite-dimensional central division algebrasfinite field extensionscyclic \(p\)-extensionsstable fields with Henselian valuations
Related Items (6)
Class field theory for strictly quasilocal fields with Henselian discrete valuations ⋮ ON THE GALOIS COHOMOLOGICAL DIMENSIONS OF STABLE FIELDS WITH HENSELIAN VALUATIONS ⋮ On the Brauer \(p\)-dimension of Henselian discrete valued fields of residual characteristic \(p > 0\) ⋮ Henselian discrete valued stable fields ⋮ On the residue fields of Henselian valued stable fields ⋮ Noncyclic division algebras over fields of Brauer dimension one
Cites Work
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- Division algebras over Henselian fields.
- Equivalent forms of Hensel's lemma
- Demuškin groups of rank \(\aleph{}_ 0\) as absolute Galois groups
- On the classification of central division algebras of linearly bounded degree over global fields and local fields
- Co-Henselian extensions and Henselizations of skew fields
- Valuation theory
- On quasi algebraic closure
- Brauer groups of fields
- Ostrwoski's theorem for Henselian valued skew fields.
- Extending Valuations to Finite Dimensional Division Algebras
- Henselian valued quasi-local fields with totally indivisible value groups
- ON THE GALOIS COHOMOLOGICAL DIMENSIONS OF STABLE FIELDS WITH HENSELIAN VALUATIONS
- Classification of Demushkin Groups
- Demuškin groups of rank $\aleph_0$
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