Extended Artin-Schreier theory of fields

DOI10.1216/RMJ-1984-14-4-881zbMath0563.12023OpenAlexW2033525457MaRDI QIDQ1057322

Eberhard Becker

Publication date: 1984

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1984-14-4-881

zbMATH Keywords

surveydecidabilitymodel theoryformally real fieldorderings of higher levelsignaturesreduced Witt ringreal holomorphy ringabsolute Galois groupsmodel completenessKadison-Dubois theorempreordering of finite exponentreal closed Nullstellensatzreal valuation ringsuniqueness of real closuresWaring numbers

Mathematics Subject Classification ID

Decidability and field theory (12L05) Model-theoretic algebra (03C60) Forms of degree higher than two (11E76) Separable extensions, Galois theory (12F10) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Model theory of fields (12L12) Normed fields (12J05) Real algebraic and real-analytic geometry (14Pxx) Research exposition (monographs, survey articles) pertaining to field theory (12-02)

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