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Valued Fields

Name: Valued Fields
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540242215
Price: 139.31 EUR
Availability: InStock

Autor: Antonio J. Engler, Alexander Prestel

Jazyk:

Väzba: Pevná

Vydavateľ: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-13 dní

139.31 €

Absolute values and their completions -like the p-adic number fields- play an important role in numb...

Informácie o knihe

Autor

Antonio J. Engler, Alexander Prestel

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2005

Stránok

208

EAN

9783540242215

ISBN

354024221X

Enbook ID

02108000

Vydavateľ

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnosť

494

Rozmery

155 x 235 x 16

Kompletný popis

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 acquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -for instance to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone.