Description
Valued Fields, 2005
Springer Monographs in Mathematics Series
Authors: Engler Antonio J., Prestel Alexander
Language: EnglishSubject for Valued Fields:
137.14 €
In Print (Delivery period: 15 days).
Add to cart the book of Engler Antonio J., Prestel AlexanderPublication date: 10-2010
208 p. · 15.5x23.5 cm · Paperback
Approximative price 137.14 €
Subject to availability at the publisher.
Add to cart the book of Engler Antonio J., Prestel AlexanderPublication date: 10-2005
208 p. · 15.5x23.5 cm · Hardback
Description
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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.
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