翻訳と辞書 Words near each other ・ Profiles of Nature ・ Profili Profili ・ Profilicollis ・ Profilin ・ Profilin 1 ・ Profiling ・ Profiling (computer programming) ・ Profiling (information science) ・ Profiling float ・ Profilo Shopping Center ・ Profilograph ・ Profilometer ・ Profinance Trust SA v Gladstone ・ PROFINET ・ Profinite group ・ Profinite integer ・ Profintern ・ Profira Sadoveanu ・ Profire Energy ・ PROFIS ・ PROFIsafe ・ Profisetinidin ・ PROFISH ・ Profit ・ Profit & Loss ・ Profit (accounting) ・ Profit (economics) ・ Profit (magazine) ・ Profit (real property) ・ Profit (TV series) 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 Profinite integer ： ウィキペディア英語版 Profinite integer In mathematics, a profinite integer is an element of the ring :$\backslash widehat\_p$ where ''p'' runs over all prime numbers, $\backslash mathbb\_p$ is the ring of ''p''-adic integers and $\backslash widehat/n$ (profinite completion). Example: Let $\backslash overline\_q$ of order ''q''. Then $\backslash operatorname(\backslash overline\_q)\; =\; \backslash widehat\; \backslash hookrightarrow\; \backslash widehat\}\; \backslash otimes\_$ is the ring of finite adeles $\backslash mathbf\_\; =\; \backslash prod\_p\_p$ of $\backslash mathbb$ where the prime ' means restricted product.〔http://math.stackexchange.com/questions/233136/questions-on-some-maps-involving-rings-of-finite-adeles-and-their-unit-groups〕 There is a canonical paring :$\backslash mathbb/\backslash mathbb\; \backslash times\; \backslash widehat\_$ induced by $\backslash mathbb/\backslash mathbb\; \backslash to\; U(1),\; \backslash ,\; \backslash alpha\; \backslash mapsto\; e^$.〔K. Conrad, (The character group of Q )〕 The pairing identifies $\backslash widehat/\backslash mathbb$. == See also == *supernatural number 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「Profinite integer」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.