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Könyv Valued Fields Antonio J. Engler

Valued Fields

Szerző: Antonio J. Engler, Alexander Prestel
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
53 766 Ft
Absolute values and their completions -like the p-adic number fields- play an important role in numb...

Információk a könyvről

Szerző
Antonio J. Engler, Alexander Prestel
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2010
oldal
208
EAN
9783642063459
ISBN
3642063454
Enbook ID
02108292
Kiadó
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Súly
352
Méretek
233 x 155 x 17

Teljes leírás

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 -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.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.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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