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 ...
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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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Add this copy of Lectures on Formally Real Fields (Lecture Notes in to cart. $16.49, very good condition, Sold by HPB-Emerald rated 4.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1984 by Springer Verlag.
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Very Good. New York: Springer-Verlag, 1984. xi, 125 pp. 24.5 x 16.5 cm. Stiff paper wrappers printed in yellow and black with black and white lettering. Slight crease to bottom corner of front cover. Light age toning to interior, which is clean and umarked. Binding sound with no creases or cracks. Soft Cover. Very Good.
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