Lam, T. Y. Orderings, valuations and quadratic forms. (English) Zbl 0516.12001 Regional Conference Series in Mathematics 52. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-0702-1). vii, 143 p. (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 80 Documents MSC: 12-02 Research exposition (monographs, survey articles) pertaining to field theory 12D15 Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) 11E10 Forms over real fields 12J15 Ordered fields 12J10 Valued fields 11E16 General binary quadratic forms 12J20 General valuation theory for fields 14Pxx Real algebraic and real-analytic geometry 13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations Keywords:Bibliography; cone of ordering; reduced theory of quadratic forms; signature; reduced T-forms; Henselian valuation; fan; superpythagorean fields; superordered fields; representation theorem; Hasse-Minkowski families; preordering; chain lengths; real holomorphy ring; Pruefer ring; real spectrum; T- semiordering; anisotropic T-module; Pasch preordering; strong approximation property; weak approximation property; bibliography; formally real fields; valuation theory; reduced Witt ring PDF BibTeX XML Cite \textit{T. Y. Lam}, Orderings, valuations and quadratic forms. Providence, RI: American Mathematical Society (AMS) (1983; Zbl 0516.12001)