Lectures on Formally Real Fields: 1093 (Lecture Notes in Mathematics) - Softcover

Prestel, A.

 
9783540138853: Lectures on Formally Real Fields: 1093 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3540138854 ISBN 13: 9783540138853
Verlag: Springer, 1984

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 aquired 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.

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Reseña del editor

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 aquired 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
1984
Sprache
Englisch
ISBN 10 
3540138854
ISBN 13 
9783540138853
Einband
Tapa blanda
Anzahl der Seiten
144
Kontakt zum Hersteller
Nicht verfügbar
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ISBN 10:  0387138854 ISBN 13:  9780387138855
Softcover