翻訳と辞書 Words near each other ・ Mutasa ・ Mutasa District ・ Mutasa North ・ Mutasa South ・ Mutasarrifate of Jerusalem ・ Mutasarrıf ・ Mutase ・ Mutasiva of Anuradhapura ・ Mutassim Gaddafi ・ Mutate (comics) ・ Mutated citrullinated vimentin ・ Mutathiini ・ Mutathura Mahadever Temple ・ Mutating Mutants ・ Mutation ・ Mutation (algebra) ・ Mutation (disambiguation) ・ Mutation (genetic algorithm) ・ Mutation (Jordan algebra) ・ Mutation (knot theory) ・ Mutation (novel) ・ Mutation breeding ・ Mutation frequency ・ Mutation Frequency Decline ・ Mutation Nation ・ Mutation rate ・ Mutation research ・ Mutation Research (journal) ・ Mutation Sensation ・ Mutation testing 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 Mutation (algebra) ： ウィキペディア英語版 Mutation (algebra) In the theory of algebras over a field, mutation is a construction of a new binary operation related to the multiplication of the algebra. In specific cases the resulting algebra may be referred to as a homotope or an isotope of the original. ==Definitions== Let ''A'' be an algebra over a field ''F'' with multiplication (not assumed to be associative) denoted by juxtaposition. For an element ''a'' of ''A'', define the left ''a''-homotope $A(a)$ to be the algebra with multiplication :$x$ * y = (xa)y. \, Similarly define the left (''a'',''b'') mutation $A(a,b)$ :$x$ * y = (xa)y - (yb)x. \, Right homotope and mutation are defined analogously. Since the right (''p'',''q'') mutation of ''A'' is the left (−''q'', −''p'') mutation of the opposite algebra to ''A'', it suffices to study left mutations.〔Elduque & Myung (1994) p. 34〕 If ''A'' is a unital algebra and ''a'' is invertible, we refer to the isotope by ''a''. 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「Mutation (algebra)」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.