翻訳と辞書 Words near each other ・ Linkback ・ Linkbelt Oval ・ LinkCycle ・ Linke ・ Linke-Hofmann ・ Linke-Hofmann R.I ・ Linke-Hofmann R.II ・ Linkebeek ・ Linked by Fate ・ Linked by Fate (film) ・ Linked data ・ Linked data page ・ Linked Data Platform ・ Linked data structure ・ Linked exchange rate ・ Linked field ・ Linked Hybrid ・ Linked list ・ Linked numbering scheme ・ Linked open data ・ Linked set ・ Linked timestamping ・ Linked Town Houses ・ LinkedGov ・ LinkedIn ・ Linkenbach ・ Linkenchelys multipora ・ Linkenheim-Hochstetten ・ Linkenholt ・ Linker 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 Linked field ： ウィキペディア英語版 Linked field In mathematics, a linked field is a field for which the quadratic forms attached to quaternion algebras have a common property. ==Linked quaternion algebras== Let ''F'' be a field of characteristic not equal to 2. Let ''A'' = (''a''1,''a''2) and ''B'' = (''b''1,''b''2) be quaternion algebras over ''F''. The algebras ''A'' and ''B'' are linked quaternion algebras over ''F'' if there is ''x'' in ''F'' such that ''A'' is equivalent to (''x'',''y'') and ''B'' is equivalent to (''x'',''z'').〔Lam (2005) p.69〕 The Albert form for ''A'', ''B'' is :$q\; =\; \backslash left\backslash langle\backslash right\backslash rangle\; \backslash \; .$ It can be regarded as the difference in the Witt ring of the ternary forms attached to the imaginary subspaces of ''A'' and ''B''. The quaternion algebras are linked if and only if the Albert form is isotropic.〔Lam (2005) p.70〕 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「Linked field」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.