Valued Fields pdf epub mobi txt 电子书下载 2024

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Prestel, Alexander

Springer Verlag

2005-11

205

$ 145.77

HRD

9783540242215

图书标签: 数学代数

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发表于2024-11-30

Valued Fields epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Valued Fields pdf epub mobi txt 电子书下载 2024

图书描述

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.

Valued Fields 下载 mobi epub pdf txt 电子书