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Pierce-Birkhoff rings

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References

  1. E. Becker, On the real spectrum of a ring and its application to semialgebraic geometry. Bull. Am. Math. Soc.15, 19–60 (1986).

    Google Scholar 

  2. A.Bigard, K.Keimel et S.Wolfenstein, Groupes et anneaux reticules. LNM608, Berlin-Heidelberg-New York 1977.

  3. G. Birkhoff andR. Pierce, Lattice-ordered rings. An. Acad. Brasil Ciênc.28, 41–69 (1956).

    Google Scholar 

  4. R. Brown, Real places and ordered fields. Rocky Mountain I Math.1, 633–636 (1971).

    Google Scholar 

  5. C. N.Delzell, On the Pierce-Birkhoff conjecture over ordered fields. To appear in Rocky Mountain J. Math.

  6. C. N.Delzell, Suprema of infima of rational functions. Manuscript 1987.

  7. M. Henriksen andJ. Isbell, Lattice-ordered rings and function rings. Pacific J. Math.11, 533–566 (1962).

    Google Scholar 

  8. K. Keimel, The representation of lattice-ordered groups and rings by sections in sheaves. LNM248, 1–96, Berlin-Heidelberg-New York 1971.

    Google Scholar 

  9. J. Madden, The Pierce-Birkhoff conjecture. AMS Abstracts (1)6, 12 (1985).

    Google Scholar 

  10. J. Madden, Lattice-ordered rings and semialgebraic geometry. AMS Abstracts (1)7, 16 (1986).

    Google Scholar 

  11. L. Mahé, On the Pierce-Birkhoff conjecture. Rocky Mountain J. Math.14, 983–985 (1984).

    Google Scholar 

  12. N.Schwartz, Real closed spaces. Habilitationsschrift, München 1984.

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Madden, J.J. Pierce-Birkhoff rings. Arch. Math 53, 565–570 (1989). https://doi.org/10.1007/BF01199816

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  • DOI: https://doi.org/10.1007/BF01199816

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