Semiorderings and Witt Rings

  title={Semiorderings and Witt Rings},
  author={Thomas C. Craven and Tara L. Smith}
For a pythagorean field F with semiordering Q and associated preordering T , it is shown that the Witt ring WT (F ) is isomorphic to the Witt ring W (K) where K is a closure of F with respect to Q. For an arbitrary preordering T , it is shown how the covering number of T relates to the construction of WT (F ). 


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