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Springer Valued Fields (Springer Monographs in Mathematics)

Name: Valued Fields (Springer Monographs in Mathematics)
Brand: Springer

Algebra

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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 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.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 354024221X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 13 October 2005
Listed Since: 22 December 2006

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Springer Valued Fields (Springer Monographs in Mathematics)

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