Valued Fields
Publication year: 2005
ISBN: 978-3-540-30035-9
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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.
Subject: Mathematics and Statistics, Galois theory, Henselization, algebra, number theory, p-adic fields, ramification theory, ultraproduct, valuation
