Lectures on Formally Real Fields
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Venduto da BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Venditore AbeBooks dal 11 gennaio 2012
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Aggiungere al carrelloVenduto da BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Venditore AbeBooks dal 11 gennaio 2012
Condizione: Nuovo
Quantità: 2 disponibili
Aggiungere al carrelloThis 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.
Codice articolo 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.
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