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Lectures on Formally Real Fields

Name: Lectures on Formally Real Fields
Brand: Springer, Berlin
SKU: 05273580
Price: 10274 HUF
Availability: InStock
Author: A. Prestel
ISBN: 9783540138853

A. Prestel

Language

English

Book Paperback

Libristo code: 05273580

Publishers Springer, Berlin

Absolute values and their completions - like the p-adic number fields- play an important role in num... Full description

Libristo code: 05273580

68 b

10 274 Ft

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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.