ENGLISH

Valued Fields

By Antonio J. Engler , Alexander Prestel

Book information

Publisher
Springer
Year
2005
ISBN
354024221X, 9783540242215, 9783540300359
ISSN
1439-7382
Open Library ID
OL9055241M
Language
english
Format
PDF
Filesize
4 MB (3703835 bytes)
Series
Springer monographs in mathematics
Edition
1
Pages
210\210
Library
mexmat
Time added
2009-07-20 03:45:11

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 acquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -for instance to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone.

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