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02517nam a22005175i 4500 |
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978-3-540-30035-9 |
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DE-He213 |
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20151116133006.0 |
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cr nn 008mamaa |
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100301s2005 gw | s |||| 0|eng d |
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|a 9783540300359
|9 978-3-540-30035-9
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|a 10.1007/3-540-30035-X
|2 doi
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|d GrThAP
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|a QA150-272
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|a PBF
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|a MAT002000
|2 bisacsh
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|a 512
|2 23
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|a Engler, Antonio J.
|e author.
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|a Valued Fields
|h [electronic resource] /
|c by Antonio J. Engler, Alexander Prestel.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2005.
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|a X, 208 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Springer Monographs in Mathematics,
|x 1439-7382
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|a Absolute Values -- Valuations -- Extension of Valuations -- Henselian Fields -- Structure Theory -- Applications of Valuation Theory.
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|a 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 acquired 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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|a Mathematics.
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| 650 |
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|a Algebra.
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|a Algebraic geometry.
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| 650 |
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|a Mathematical logic.
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| 650 |
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|a Number theory.
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| 650 |
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4 |
|a Mathematics.
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| 650 |
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4 |
|a Algebra.
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| 650 |
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4 |
|a Number Theory.
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| 650 |
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4 |
|a Algebraic Geometry.
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| 650 |
2 |
4 |
|a Mathematical Logic and Foundations.
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| 700 |
1 |
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|a Prestel, Alexander.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783540242215
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| 830 |
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|a Springer Monographs in Mathematics,
|x 1439-7382
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| 856 |
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|u http://dx.doi.org/10.1007/3-540-30035-X
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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