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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Contou-Carrère symbol ： ウィキペディア英語版 Contou-Carrère symbol In mathematics, the Contou-Carrère symbol 〈''a'',''b''〉 is a Steinberg symbol defined on pairs of invertible elements of the ring of Laurent power series over an Artinian ring ''k'', taking values in the group of units of ''k''. It was introduced by . ==Definition== If ''k'' is an Artinian local ring, then any invertible formal Laurent series ''a'' with coefficients in ''k'' can be written uniquely as :$a=a\_0t^\backslash prod\_(1-a\_it^i)$ where ''w''(''a'') is an integer, the elements ''a''''i'' are in ''k'', and are in ''m'' if ''i'' is negative, and is a unit if ''i'' = 0. The Contou-Carrère symbol 〈''a'',''b''〉 of ''a'' and ''b'' is defined to be :$\backslash langle\; a,b\backslash rangle=(-1)^\backslash frac(1-a\_i^b\_^)^\}$ (1-b_i^a_^)^} 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「Contou-Carrère symbol」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.