| 000 | 02500nam a22005175i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-30035-9 | ||
| 003 | DE-He213 | ||
| 005 | 20161121230934.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2005 gw | s |||| 0|eng d | ||
| 020 |
_a9783540300359 _9978-3-540-30035-9 |
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| 024 | 7 |
_a10.1007/3-540-30035-X _2doi |
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| 050 | 4 | _aQA150-272 | |
| 072 | 7 |
_aPBF _2bicssc |
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| 072 | 7 |
_aMAT002000 _2bisacsh |
|
| 082 | 0 | 4 |
_a512 _223 |
| 100 | 1 |
_aEngler, Antonio J. _eauthor. |
|
| 245 | 1 | 0 |
_aValued Fields _h[electronic resource] / _cby Antonio J. Engler, Alexander Prestel. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005. |
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| 300 |
_aX, 208 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aSpringer Monographs in Mathematics, _x1439-7382 |
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| 505 | 0 | _aAbsolute Values -- Valuations -- Extension of Valuations -- Henselian Fields -- Structure Theory -- Applications of Valuation Theory. | |
| 520 | _aAbsolute 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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 0 | _aAlgebraic geometry. | |
| 650 | 0 | _aMathematical logic. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAlgebra. |
| 650 | 2 | 4 | _aNumber Theory. |
| 650 | 2 | 4 | _aAlgebraic Geometry. |
| 650 | 2 | 4 | _aMathematical Logic and Foundations. |
| 700 | 1 |
_aPrestel, Alexander. _eauthor. |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540242215 |
| 830 | 0 |
_aSpringer Monographs in Mathematics, _x1439-7382 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/3-540-30035-X |
| 912 | _aZDB-2-SMA | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c506174 _d506174 |
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