| 书目名称 | Valued Fields |
| 编辑 | Antonio J. Engler,Alexander Prestel |
| 视频video | |
| 概述 | Includes new chapter on valuation rings, definable in the language of fields only.Contains in addition a Galois theoretic characterization of the field of p-adic numbers.Written by experts.Includes su |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .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 -for instance to Artin‘s Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone. . |
| 出版日期 | Book 2005 |
| 关键词 | Galois theory; Henselization; algebra; number theory; p-adic fields; ramification theory; ultraproduct; val |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-540-30035-X |
| isbn_softcover | 978-3-642-06345-9 |
| isbn_ebook | 978-3-540-30035-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 2005 |
发表于 2025-3-21 18:06:42
