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Körper, über denen alle algebraischen Erweiterungen der Kummer'schen Theorie genügen

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Publication:1141185
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DOI10.1016/0021-8693(80)90152-0zbMath0437.12019OpenAlexW2090239416MaRDI QIDQ1141185

Franz Halter-Koch

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90152-0


zbMATH Keywords

real fieldhereditarily pythagorean fieldKummer field


Mathematics Subject Classification ID

Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Cyclotomic extensions (11R18)


Related Items (2)

Radicals of binomial ideals ⋮ From Field Theoretic to Abstract Co-Galois Theory



Cites Work

  • Formal-reelle Körper mit streng-auflösbarer absoluter Galoisgruppe
  • Unendliche algebraische Zahlkörper, über denen jede Gleichung auflösbar von beschränkter Stufe ist
  • Arithmetische Theorie der Normalkörper von 2-Potenzgrad mit Diedergruppe. (Arithmetic theory of normal fields of 2-power degree with dihedral group)
  • Lineare Abhängigkeit von Wurzeln
  • Endliche Gruppen I
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