| 书目名称 | The Decomposition of Primes in Torsion Point Fields |
| 编辑 | Clemens Adelmann |
| 视频video | http://file.papertrans.cn/908/907222/907222.mp4 |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?eldinauniquewaytostructuresthatareexclusively described in terms of the base ?eld. Suitable structures are the prime ideals of the ring of integers of the considered number ?eld. By examining the behaviouroftheprimeidealswhenembeddedintheextension?eld,su?cient information should be collected to distinguish the given extension from all other possible extension ?elds. The ring of integers O of an algebraic number ?eld k is a Dedekind ring. k Any non-zero ideal in O possesses therefore a decomposition into a product k of prime ideals in O which is unique up to permutations of the factors. This k decomposition generalizes the prime factor decomposition of numbers in Z Z. In order to keep the uniqueness of the factors, view has to be changed from elements of O to ideals of O . k k Given an extension K/k of algebraic number ?elds and a prime ideal p of O , the decomposition law of K/k describes the product decomposition of k the ideal generated by p in O and names its characteristic quantities, i. e. K the number of di?erent prime ideal factors, their respective inertial degrees, and their res |
| 出版日期 | Book 2001 |
| 关键词 | algebra; algebraic number theory; elliptic curve; invariant theory; modular form; number theory; prime num |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b80624 |
| isbn_softcover | 978-3-540-42035-4 |
| isbn_ebook | 978-3-540-44949-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2001 |
|Archiver|手机版|小黑屋|
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