Name: lectures on formally real fields
SKU: 3483812
Price: 30.93 EUR
Availability: InStock
Author: prestel

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portada lectures on formally real fields

Type

Physical Book

Publisher

Springer

Author

prestel

Language

English

ISBN

3540138854

ISBN13

9783540138853

Synopsis "lectures on formally real fields"

absolute values and their completions - like the p-adic number fields- play an important role in number theory. krulls generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. in valuation theory, the notion of a completion has to be replaced by that of the so-called henselization. in this book, the theory of valuations as well as of henselizations is developed. the presentation is based on the knowledge aquired in a standard graduate course in algebra. the last chapter presents three applications of the general theory -as to artins conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.