Cyclic 2-structures and spaces of orderings of power series fields in two variables

DOI10.1016/j.jalgebra.2011.02.026zbMath1254.12003OpenAlexW1972783413WikidataQ56269710 ScholiaQ56269710MaRDI QIDQ655386

Salma Kuhlmann, Katarzyna Osiak, Murray A. Marshall

Publication date: 4 January 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.026

zbMATH Keywords

orderingsformal power seriesreal places

Mathematics Subject Classification ID

Real algebraic sets (14P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Real algebra (13J30)

Cites Work

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• Cyclic orders
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• On the theory of quadratic forms over formally real fields
• The pp conjecture for the space of orderings of the field \(\mathbb R(x,y)\)
• Sums of squares on real algebraic surfaces
• Every real closed field has an integer part
• Positivity in power series rings
• THE pp CONJECTURE FOR SPACES OF ORDERINGS OF RATIONAL CONICS
• Cyclically ordered sets
• Extension of an order to a simple transcendental extension
• Valuations and real places in the theory of formally real fields

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