Valued Fields

Name: Valued Fields
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642063459
Price: 147.37 EUR
Availability: InStock

Автор: Antonio J. Engler, Alexander Prestel

Език:

Корици: С меки корици

Издател: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Наличност: Външен склад

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147.37 € 288.24 лв

Absolute values and their completions -like the p-adic number fields- play an important role in numb...

Информация за книгата

Автор

Antonio J. Engler, Alexander Prestel

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

208

EAN

9783642063459

ISBN

3642063454

Enbook ID

02108292

Издател

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Теглоt

352

Размери

233 x 155 x 17

Пълно описание

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 -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.Absolute values and their completions such as the p-adic number fields play an important role in number theory. Krull's generalization of absolute values to valuations made possible applications in other branches of mathematics. In valuation theory, the notion of completion must be replaced by that of "Henselization". This book develops the theory of valuations as well as of Henselizations, based on the skills of a standard graduate course in algebra.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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