翻訳と辞書 Words near each other ・ Ring of Fire Studios ・ Ring of Gaxx ・ Ring of Gullion AONB ・ Ring of Gyges ・ Ring of Hands ・ Ring of Honor ・ Ring of Honor (disambiguation) ・ Ring of Honor tournaments ・ Ring of Honor Wrestling ・ Ring of Independents ・ Ring of integers ・ Ring of Kerry ・ Ring of Life ・ Ring of mixed characteristic ・ Ring of O ・ Ring of p-adic periods ・ Ring of periods ・ Ring of Pietroassa ・ Ring of polynomial functions ・ Ring of quotients ・ Ring of Red ・ Ring of Saturn ・ Ring of Scorpio ・ Ring of sets ・ Ring of Silvianus ・ Ring of Spies ・ Ring of steel ・ Ring of Steel (film) ・ Ring of Steel (Kabul) ・ Ring of steel (London) 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 Ring of p-adic periods ： ウィキペディア英語版 Ring of p-adic periods In mathematics, Fontaine's period rings are a collection of commutative rings first defined by Jean-Marc Fontaine that are used to classify ''p''-adic Galois representations. ==The ring BdR== The ring $\backslash mathbf\_$ is defined as follows. Let $\backslash mathbf\_p$ denote the completion of $\backslash overline$. Let :$\backslash tilde\; \backslash mathcal\_/(p)$ So an element of $\backslash tilde\_/(p)$ such that $x\_^p\; \backslash equiv\; x\_i\; \backslash pmod\; p$. There is a natural projection map $f:\backslash tilde\_/(p)$ given by $f(x\_1,x\_2,\backslash dotsc)\; =\; x\_1$. There is also a multiplicative (but not additive) map $t:\backslash tilde\_$ defined by $t(x\_,x\_2,\backslash dotsc)\; =\; \backslash lim\_\; \backslash tilde\; x\_i^$, where the $\backslash tilde\; x\_i$ are arbitrary lifts of the $x\_i$ to $\backslash mathcal\_$. The composite of $t$ with the projection $\backslash mathcal\_\backslash to\; \backslash mathcal\_/(p)$ is just $f$. The general theory of Witt vectors yields a unique ring homomorphism $\backslash theta:W(\backslash tilde\_$ such that $\backslash theta(())\; =\; t(x)$ for all $x\backslash in\; \backslash tilde\_^+$ is defined to be completion of $\backslash tilde\}^+)()$ with respect to the ideal $\backslash ker\backslash left(\; \backslash theta\; :\; \backslash tilde\_p\; \backslash right)$. The field $\backslash mathbf\_$ is just the field of fractions of $\backslash mathbf\_^+$. 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「Ring of p-adic periods」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.