Valued Fields

• Main Authors: Engler, Antonio J. (Author), Prestel, Alexander (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Mathematical logic.; Number theory.; Number Theory.; Algebraic Geometry.; Mathematical Logic and Foundations.

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 c...

Table of Contents:

• Absolute Values
• Valuations
• Extension of Valuations
• Henselian Fields
• Structure Theory
• Applications of Valuation Theory.