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Articles

Quasi-ordered rings - A uniform approach to orderings and valuations

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Pages 4978-4984 | Received 14 Nov 2017, Published online: 19 Sep 2018

References

  • Bourbaki, N. (1961–1965). Algèbre Commutative, Chap. 1–7. Paris: Hermann.
  • Engler, A. J., Prestel, A. (2005). Valued Fields. Springer Monographs in Mathematics, Berlin Heidelberg: Springer.
  • Fakhruddin, S. M. (1987). Quasi-ordered fields. J. Pure Appl. Algebra 45:207–210.
  • Knebusch, M., Zhang, D. (2002). Manis Valuations and Prüfer Extensions I - A New Chapter in Commutative Algebra. Lecture Notes in Mathematics, Vol. 1791. Berlin Heidelberg: Springer.
  • Kuhlmann, S., Müller, S. (2017). Compatibility of quasi-orderings and valuations; A Baer-Krull theorem for quasi-ordered Rings, preprint, arXiv number 1707.08410.
  • Marshall, M. (2008). Positive Polynomials and Sums of Squares. Mathematical Surveys and Monographs, Vol. 146. Providence, Rhode Island: American Mathematical Society.

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