On some classes of Hilbertian fields

DOI10.1007/BF03322485zbMath0547.12016OpenAlexW2096366972MaRDI QIDQ798714

Serban A. Basarab

Publication date: 1984

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322485

zbMATH Keywords

function fieldorderingsHilbertian fieldstotally realmodel completeelimination of quantifiersPrüfer ringNullstellensätzedecidableHilbert's irreducibility theoremp-adically closed fieldspseudo real closed fieldsgeneralized Jacobson ringholomorphy ringmodel companionablerecursively axiomatized classstrongly pseudo real closedtotally transcendental

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Decidability of theories and sets of sentences (03B25) Algebraic number theory: local fields (11S99) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Relevant commutative algebra (14A05) Ordered fields (12J15) Model theory of fields (12L12) Quantifier elimination, model completeness, and related topics (03C10) Field extensions (12F99)

Related Items (2)

Transfer principles for pseudo real closed e-fold ordered fields ⋮ RRC-fields with small absolute Galois groups

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