Valued Fields - E-book - 9783540300359

eBook

Valued Fields - ENG

Antonio J. Engler; Alexander Prestel

eBook

$2,980.00

Disponible

Información adicional
Sinopsis

ISBN:	9783540300359
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Álgebra general
Año de publicación:	2005-12-28

Absolute values and their completions -like the p-adic number fields- play an important role in number theory. Krulls 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 acquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -for instance to Artins Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone.

eBooks