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Książka Valued Fields Antonio J. Engler

Valued Fields

Autor: Antonio J. Engler, Alexander Prestel
Język: Angielski
Oprawa: Twarda
Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
598.17 zł
Absolute values and their completions -like the p-adic number fields- play an important role in numb...

Informacje o książce

Autor
Antonio J. Engler, Alexander Prestel
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2005
strony
208
EAN
9783540242215
ISBN
354024221X
Enbook ID
02108000
Wydawca
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Waga
494
Wymiary
155 x 235 x 16

Pełny opis

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.

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