翻訳と辞書 Words near each other ・ Hua Taphan District ・ Hua Tianyou ・ Hua Tou ・ Hua Tuo ・ Hua Wiang ・ Hua Wilfried Koffi ・ Hua Xia Bank ・ Hua Xin ・ Hua Xiong ・ Hua Xiren ・ Hua Yan ・ Hua Yang De Nian Hua ・ Hua Yi Secondary School ・ Hua Yu Tseng ・ Hua'an County ・ Hua's identity ・ Hua's lemma ・ Hua-Enhancer1 ・ Huabal District ・ Huabeijituan Station ・ Huabeisaurus ・ Huaben ・ Huabiao ・ Huabiao Award for Outstanding Actor ・ Huabiao Award for Outstanding Actress ・ Huabiao Award for Outstanding New Actor ・ Huabiao Award for Outstanding New Actress ・ Huabiao Award for Outstanding Writer ・ Huabiao Awards ・ Huac-Huas District 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 Hua's identity ： ウィキペディア英語版 Hua's identity In algebra, Hua's identity states that for any elements ''a'', ''b'' in a division ring, :$a\; -\; (a^\; +\; (b^\; -\; a)^)^\; =\; aba$ whenever $ab\; \backslash ne\; 0,\; 1$. Replacing $b$ with $-b^$ gives another equivalent form of the identity: :$(a+ab^a)^\; +\; (a+b)^\; =a^.$ An important application of the identity is a proof of Hua's theorem.〔http://math.stackexchange.com/questions/161301/is-this-map-of-domains-a-jordan-homomorphism〕 The theorem says that if $\backslash sigma:\; K\; \backslash to\; L$ is a function between division rings and if $\backslash sigma$ satisfies: :$\backslash sigma(a\; +\; b)\; =\; \backslash sigma(a)\; +\; \backslash sigma(b),\; \backslash quad\; \backslash sigma(1)\; =\; 1,\; \backslash quad\; \backslash sigma(a^)\; =\; \backslash sigma(a)^,$ then $\backslash sigma$ is either a homomorphism or an antihomomorphism. The theorem is important because of the connection to the fundamental theorem of projective geometry. == Proof == : $(a\; -\; aba)(a^\; +\; (b^\; -\; a)^)\; =\; ab(b^\; -\; a)(a^\; +\; (b^\; -\; a)^)\; =\; 1.$ 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「Hua's identity」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.