On connectedness of sets in the real spectra of polynomial rings

Author:

Lucas F.,Madden J. J.,Schaub D.,Spivakovsky M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference23 articles.

1. Alvis D., Johnston B., Madden J.J.: Local structure of the real spectrum of a surface, infinitely near points and separating ideals. J. Reine Angew. Math. 167, 160–196 (1931)

2. Andradas C., Bröcker L., Ruiz J.M.: Constructible Sets in Real Geometry. Springer, Berlin (1996)

3. Baer, R.: Uber nicht-archimedisch geordnete Körper (Beitrage zur Algebra). Sitz. Ber. Der Heidelberger Akademie, 8 Abhandl. (1927)

4. Birkhoff G., Pierce R.: Lattice-ordered rings. Ann. Acad. Brasil Ciênc. 28, 41–69 (1956)

5. Bochnak J., Coste M., Roy M.-F.: Géométrie algébrique réelle. Springer, Berlin (1987)

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2. On the Pierce–Birkhoff conjecture;Journal of Algebra;2015-08

3. Approximate roots of a valuation and the Pierce-Birkhoff conjecture;Annales de la Faculté des sciences de Toulouse : Mathématiques;2014-02-13

4. Henriksen and Isbell on f-rings;Topology and its Applications;2011-09

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