Fans, real valuations, and hereditarily-Pythagorean fields

DOI10.2140/pjm.1981.93.95zbMath0485.12016OpenAlexW2116593543WikidataQ114045272 ScholiaQ114045272MaRDI QIDQ1164096

Bill Jacob

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.93.95

zbMATH Keywords

valuation ringsfanformally real fieldssums of 2n-th powersHarrison preprimesm- Pythagoren fields

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10)

Related Items (8)

Rigid elements, valuations, and realization of Witt rings ⋮ Chain signatures and higher level Witt rings ⋮ Null- and Positivstellensätze for generalized real closed fields ⋮ Number of connected components of a real variety and \(\mathbb{R}\)-places ⋮ Sums of mixed powers in fields and orderings of prescribed level ⋮ On graphs and valuations. ⋮ Valuation fans and residually closed Henselian fields ⋮ On a class of preorderings of higher level

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