翻訳と辞書 Words near each other ・ Frobenius determinant theorem ・ Frobenius endomorphism ・ Frobenius Forster ・ Frobenius group ・ Frobenius Institute ・ Frobenius manifold ・ Frobenius matrix ・ Frobenius method ・ Frobenius normal form ・ Frobenius Orgelbyggeri ・ Frobenius pseudoprime ・ Frobenius solution to the hypergeometric equation ・ Frobenius splitting ・ Frobenius theorem ・ Frobenius theorem (differential topology) ・ Frobenius theorem (real division algebras) ・ Frobenius's theorem (group theory) ・ Frobenius–Schur indicator ・ Froberg mutiny ・ Froberville ・ Frobisher ・ Frobisher (Doctor Who) ・ Frobisher (surname) ・ Frobisher Bay ・ Frobisher Bay Air Base ・ Frobisher Bay, Northwest Territories ・ Frobisher Lake ・ Frobisher's Farthest ・ Frobisher, Saskatchewan ・ Frobot 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 Frobenius theorem (real division algebras) ： ウィキペディア英語版 Frobenius theorem (real division algebras) In mathematics, more specifically in abstract algebra, the Frobenius theorem, proved by Ferdinand Georg Frobenius in 1877, characterizes the finite-dimensional associative division algebras over the real numbers. According to the theorem, every such algebra is isomorphic to one of the following: * (the real numbers) * (the complex numbers) * (the quaternions). These algebras have dimensions , and , respectively. Of these three algebras, and are commutative, but is not. ==Proof== The main ingredients for the following proof are the Cayley–Hamilton theorem and the fundamental theorem of algebra. 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「Frobenius theorem (real division algebras)」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.