Valued Fields (Springer Monographs in Mathematics) - Hardcover

Buch 27 von 187: Springer Monographs in Mathematics

Engler, Antonio J.; Prestel, Alexander

 
9783540242215: Valued Fields (Springer Monographs in Mathematics)
Hardcover
ISBN 10: 354024221X ISBN 13: 9783540242215
Verlag: Springer, 2005

Inhaltsangabe

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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Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
354024221X
ISBN 13 
9783540242215
Einband
Gebundene Ausgabe
Anzahl der Seiten
218
Kontakt zum Hersteller
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Poststr. 9
Darmstadt
64293
Deutschland

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