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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 Quaternionic structure ： ウィキペディア英語版 Quaternionic structure In mathematics, a quaternionic structure or -structure is an axiomatic system that abstracts the concept of a quaternion algebra over a field. A ''quaternionic structure'' is a triple where is an elementary abelian group of exponent with a distinguished element , is a pointed set with distinguished element , and is a symmetric surjection satisfying axioms : \text \quad &q(a,b) = q(a,c) \Leftrightarrow q(a,bc) = 1,\\ \text \quad &q(a,b) = q(c,d) \Rightarrow \exists x| q(a,b) = q(a,x), q(c,d) = q(c,x)\end. Every field gives rise to a -structure by taking to be , the set of Brauer classes of quaternion algebras in the Brauer group of with the split quaternion algebra as distinguished element and the quaternion algebra . ==References== * 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「Quaternionic structure」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.