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Fields with Orders or Valuations

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Part of the Graduate Texts in Mathematics book series (GTM,volume 242)

The results of Artin and Schreier [1926] on ordered fields, presented in Sections 1 and 2, extend known properties of R and C and give new insights into the relationship of a field to its algebraic closure. The remaining sections study valuations and completions, which have become valuable tools of algebraic geometry.

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(2007). Fields with Orders or Valuations. In: Abstract Algebra. Graduate Texts in Mathematics, vol 242. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71568-1_6

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