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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 antihomomorphism ： ウィキペディア英語版 antihomomorphism In mathematics, an antihomomorphism is a type of function defined on sets with multiplication that reverses the order of multiplication. An antiautomorphism is a bijective antihomomorphism, i.e., an antiisomorphism, from a set to itself. From being bijective it follows that it has an inverse, and that the inverse is also an antiautomorphism. ==Definition== Informally, an antihomomorphism is map that switches the order of multiplication. Formally, an antihomomorphism between ''X'' and ''Y'' is a homomorphism $\backslash phi\backslash colon\; X\; \backslash to\; Y^\}$ equals ''Y'' as a set, but has multiplication reversed: denoting the multiplication on ''Y'' as $\backslash cdot$ and the multiplication on $Y^\}$ is called the opposite object to ''Y''. (Respectively, opposite group, opposite algebra, opposite category etc.) This definition is equivalent to a homomorphism $\backslash phi\backslash colon\; X^\}$ and acting as the identity on maps is a functor (indeed, an involution). 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「antihomomorphism」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.