ENGLISH

Valued Fields

By Antonio J. Engler , Alexander Prestel,

Book information

Publisher
Springer
Year
2005
ISBN
354024221X, 9783540242215, 9783540300359
Language
english
Format
PDF
Filesize
1 MB (1109618 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
218\210
Time added
2011-06-04 13:46:07

Description

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.

Similar books