Erschienen: 01.11.1984 Abbildung von Prestel | Lectures on Formally Real Fields | 1984 | 1984 | 1093

Prestel

Lectures on Formally Real Fields

lieferbar ca. 10 Tage als Sonderdruck ohne Rückgaberecht

1984 1984. Buch. xi, 128 S. Bibliographien. Softcover

Springer. ISBN 978-3-540-13885-3

Format (B x L): 15,5 x 23,5 cm

Gewicht: 470 g

In englischer Sprache

Das Werk ist Teil der Reihe: Lecture Notes in Mathematics; 1093

Produktbeschreibung

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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