Lectures on Formally Real Fields
Prestel, A.
ISBN 10: 3540138854 ISBN 13: 9783540138853
Published by Springer, 1984
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Synopsis:
Absolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull's 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 Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.
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Bibliographic Details
Title: Lectures on Formally Real Fields
Publisher: Springer
Publication Date: 1984
Binding: Soft cover
Condition: As New