Valued Fields 2024 pdf epub mobi 电子书

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发表于2024-12-23

Valued Fields 2024 pdf epub mobi 电子书

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出版者:Springer Verlag

作者:Prestel, Alexander

出品人:

页数:205

译者:

出版时间:2005-11

价格:$ 145.77

装帧:HRD

isbn号码:9783540242215

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图书标签: 数学代数

Valued Fields 2024 pdf epub mobi 电子书图书描述

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 2024 pdf epub mobi 电子书

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