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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Orderings and semiorderings of fields.- Quadratic forms over formally real fields.- Real algebraic closures.- Some notions from model theory.- The transfer-principle for real closed fields.- The space of orderings and semiorderings.- Real places.- Real henselian fields.- SAP-fields.- Quadratic forms over formally real fields.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 12 PRE 9783540138853 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2505293
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Paperback. Condizione: new. Paperback. 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. Absolute values and their completions - like the p-adic number fields- play an important role in number theory. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783540138853
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Taschenbuch. Condizione: 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. Codice articolo 9783540138853
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Condizione: Sehr gut. Auflage: 1984. 144 Seiten 9783540138853 Wir verkaufen nur, was wir auch selbst lesen würden. Sprache: Deutsch Gewicht in Gramm: 284 15,6 x 0,8 x 23,4 cm, Taschenbuch. Codice articolo 39496
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