Lectures on Formally Real Fields (9783540138853)

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.

Product details

• Format Paperback | 128 pages
• Dimensions 155 x 235 x 7.87mm | 470g
• Publication date 01 Nov 1984
• Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication City/Country Berlin, Germany
• Language English
• Edition Statement 1984 ed.
• Illustrations note XI, 128 p.
• ISBN10 3540138854
• ISBN13 9783540138853
• Bestsellers rank 2,950,613

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