Lectures on Formally Real Fields
Language: English
Published by Springer, Springer Spektrum Nov 1984, 1984
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 144 pp. Englisch.
Seller Inventory # 9783540138853
- Title
- Lectures on Formally Real Fields
- Author
- A. Prestel
- Publisher
- Springer, Springer Spektrum Nov 1984
- Publication year
- 1984
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3540138854
- ISBN 13
- 9783540138853
- Item weight
- 230 grams
- Dimensions
- 235x155x9 mm
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.
"Synopsis" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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