翻訳と辞書 Words near each other ・ Principality of Ryazan ・ Principal direction ・ Principal Edwards Magic Theatre ・ Principal factor ・ Principal Feast ・ Principal Financial Group ・ Principal Galaxies Catalogue ・ Principal geodesic analysis ・ Principal gerbil ・ Principal Hayley Group ・ Principal Holy Day (Anglicanism) ・ Principal homogeneous space ・ Principal ideal ・ Principal ideal domain ・ Principal ideal ring ・ Principal ideal theorem ・ Principal indecomposable module ・ Principal investigator ・ Principal meridian ・ Principal meridians of Alaska ・ Principal of the University of Glasgow ・ Principal officer ・ Principal Officials Accountability System ・ Principal officials of Hong Kong ・ Principal Olivil ・ Principal Painter in Ordinary ・ Principal Park ・ Principal part ・ Principal parts ・ Principal passes of the Alps Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Principal ideal theorem ： ウィキペディア英語版 Principal ideal theorem In mathematics, the principal ideal theorem of class field theory, a branch of algebraic number theory says that extending ideals gives a mapping on the class group of an algebraic number field to the class group of its Hilbert class field, which sends all ideal classes to the class of a principal ideal. The phenomenon has also been called ''principalization'', or sometimes ''capitulation''. ==Formal statement== For any algebraic number field ''K'' and any ideal ''I'' of the ring of integers of ''K'', if ''L'' is the Hilbert class field of ''K'', then :$IO\_L\backslash$ is a principal ideal α''O''''L'', for ''O''''L'' the ring of integers of ''L'' and some element α in it. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Principal ideal theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.