Valued Fields
(Sprache: Englisch)
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,...
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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.
Inhaltsverzeichnis zu „Valued Fields “
- Absolute Values- Valuations
- Extension of Valuations
- Henselian Fields
- Structure Theory
- Applications of Valuation Theory
- Ultraproducts of Valued Fields
- Classification of V-topologies.
Bibliographische Angaben
- Autoren: Antonio J. Engler , Alexander Prestel
- 2005, 2005, 208 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 354024221X
- ISBN-13: 9783540242215
- Erscheinungsdatum: 13.10.2005
Sprache:
Englisch
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