翻訳と辞書 Words near each other ・ Twisted Metal (1995 video game) ・ Twisted Metal (2012 video game) ・ Twisted Metal 2 ・ Twisted Metal 4 ・ Twisted Metal III ・ Twisted Method ・ Twisted nematic field effect ・ Twisted Nerve ・ Twisted Nerve Records ・ Twisted Oak Winery ・ Twisted Obsession ・ Twisted pair ・ Twisted Pictures ・ Twisted Pixel Games ・ Twisted Poincaré duality ・ Twisted polynomial ring ・ Twisted Rails ・ Twisted Records (U.S.) ・ Twisted Records (UK) ・ Twisted Scriptures ・ Twisted sector ・ Twisted showcase ・ Twisted Sister ・ Twisted Sister band members ・ Twisted Sisters ・ Twisted Sisters (documentary) ・ Twisted Souls ・ Twisted Tales ・ Twisted Tales (book series) ・ Twisted Tales (disambiguation) 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 Twisted polynomial ring ： ウィキペディア英語版 Twisted polynomial ring In mathematics, a twisted polynomial is a polynomial over a field of characteristic $p$ in the variable $\backslash tau$ representing the Frobenius map $x\backslash mapsto\; x^p$. In contrast to normal polynomials, multiplication of these polynomials is not commutative, but satisfies the commutation rule :$\backslash tau\; x=x^p\; \backslash tau$ for all $x$. Over an infinite field, the twisted polynomial ring is isomorphic to the ring of additive polynomials, but where multiplication on the latter is given by composition rather than usual multiplication. However, it is often easier to compute in the twisted polynomial ring — this can be applied especially in the theory of Drinfeld modules. ==Definition== Let $k$ be a field of characteristic $p$. The twisted polynomial ring $k\backslash$ is defined as the set of polynomials in the variable $\backslash tau$ and coefficients in $k$. It is endowed with a ring structure with the usual addition, but with a non-commutative multiplication that can be summarized with the relation $\backslash tau\; x=x^p\backslash tau$. Repeated application of this relation yields a formula for the multiplication of any two twisted polynomials. As an example we perform such a multiplication :$(a+b\backslash tau)(c+d\backslash tau)=a(c+d\backslash tau)+b\backslash tau(c+d\backslash tau)=ac+ad\backslash tau+bc^p\backslash tau+bd^p\backslash tau^2$ 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「Twisted polynomial ring」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.