Title
 Lectures on formally real fields 
 
Author(s)
 Prestel, Alexander 
Publication
 Berlin : Springer, 1984. 
Series
 (Lecture Notes in Mathematics ; 1093) 
Subject category
 Mathematical Physics and Mathematics 
Abstract
 Absolute values and their completions  like the padic 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 socalled Henselization. In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge aquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory as to Artin's Conjecture on the padic number fields that could not be obtained by the use of absolute values only. 
ISBN
 9783540138853 (This book at Amazon) (print version) 9783540390930 (This book at Amazon) (electronic version)

DOI
 ebook: 10.1007/BFb0101548


