Valued Fields

Name: Valued Fields
SKU: 5264489
Price: 376.99 AUD
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Hardback

Series:

Springer Monographs in Mathematics

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Description

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.

Release date Australia

October 13th, 2005

Author

Audiences

Postgraduate, Research & Scholarly
Undergraduate

Illustrations

X, 208 p.

Pages

208

Series

Springer Monographs in Mathematics

Dimensions

156x234x14

ISBN-13

9783540242215

Product ID

5264489

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