ENGLISH

Lectures on Formally Real Fields

By Alexander Prestel (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1984
ISBN
9780387138855, 0-387-13885-4
DOI
10.1007/BFb0101548
LCC
QA3 .L28 no. 1093,QA247 .L28 no. 1093
Open Library ID
OL2863747M
Language
english
Format
DJVU
Filesize
778 kB (796596 bytes)
Series
Lecture Notes in Mathematics 1093
Edition
1
Pages
128\137
Library
mexmat
Time added
2009-07-20 03:45:11
Algebra; Mathematical Logic and Foundations

Description

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 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 p-adic number fields- that could not be obtained by the use of absolute values only.

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