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Synopsis
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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Lectures on Formally Real Fields (Lecture Notes in Mathematics)
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Lectures on Formally Real Fields
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Lectures on Formally Real Fields
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Lectures on Formally Real Fields (Lecture Notes in Mathematics)
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Lectures on Formally Real Fields
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Lectures on Formally Real Fields
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Lectures on formally real fields Alexander Prestel. Lecture notes in mathematics 1093.
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Lectures on Formally Real Fields
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Springer Berlin Heidelberg Nov 1984, 1984
ISBN 10: 3540138854
ISBN 13: 9783540138853
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 144 pp. Englisch. Seller Inventory # 9783540138853
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Lectures on Formally Real Fields
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Lectures on Formally Real Fields.
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Softcover. Condition: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04678 3540138854 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2490917