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In mathematics, a Moufang loop is a special kind of algebraic structure. It is similar to a group in many ways but need not be associative. Moufang loops were introduced by . ==Definition== A Moufang loop is a loop ''Q'' that satisfies any one of the following equivalent identities for all ''x'', ''y'', ''z'' in ''Q'' (the binary operation in ''Q'' is denoted by juxtaposition): #''z''(''x''(''zy'')) = ((''zx'')''z'')''y''; #''x''(''z''(''yz'')) = ((''xz'')''y'')''z'' #(''zx'')(''yz'') = (''z''(''xy''))''z'' #(''zx'')(''yz'') = ''z''((''xy'')''z''). These identities are known as Moufang identities. 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「Moufang loop」の詳細全文を読む スポンサード リンク
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