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Becker, Eberhard

Hereditarily-Pythagorean fields and orderings of higher level. (English) Zbl 0509.12020

Monografias de Matematica, 29. Rio de Janeiro: Instituto de Matematica Pura e Aplicada, Conselho Nacional de Desenvolvimento Cientifico e Tecnologico. V, 175 p. (1978).
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scan of Zbl 0509.12020

Cited in 12 Reviews
Cited in 49 Documents

MSC:

12D15 Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
12J20 General valuation theory for fields
12J15 Ordered fields
12-02 Research exposition (monographs, survey articles) pertaining to field theory
14F22 Brauer groups of schemes
11E16 General binary quadratic forms
12J10 Valued fields
11E76 Forms of degree higher than two

Keywords:

Artin-Schreier theory; formally real fields; real closed fields; orderings of higher level; Harrison prime; Hilbert’s 17th problem; valuation-theoretic methods; Henselian valuation; Phythagorean fields; existence of Kummer theory; relative Brauer group; quaternion algebras; stability index; reduced Witt ring; semi-orderings; fans
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