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Springer Valued Fields (Springer Monographs in Mathematics)

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£94.31 £89.12 £90.25 £91.38 £92.52 £93.65 £94.78 11 June 2026 27 June 2026 13 July 2026 29 July 2026 15 August 2026

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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 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

Format
hardcover
Domain
Amazon UK
Release Date
13 October 2005
Listed Since
22 December 2006

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