翻訳と辞書 Words near each other ・ Associação Esportiva Velo Clube Rioclarense ・ Associação Ferroviária de Esportes ・ Associação Ferroviária de Esportes (women) ・ Associação Fonográfica Portuguesa ・ Associação Gaita-de-fole ・ Associação Garibaldi de Esportes ・ Associação Guias de Portugal ・ Associação Internacional dos Trabalhadores – Secção Portuguesa ・ Associative memory ・ Associative model of data ・ Associative Movement Italians Abroad ・ Associative property ・ Associative sequence learning ・ Associative substitution ・ Associative visual agnosia ・ Associator ・ Associators ・ Associazione Agraria Subalpina ・ Associazione Calcio Legnano ・ Associazione Friulana di Astronomia e Meteorologia ・ Associazione Guide e Scouts Cattolici Italiani ・ Associazione Guide Esploratori Cattolici Sammarinesi ・ Associazione Guide Italiane ・ Associazione Italiana degli Analisti e Consulenti Finanziari ・ Associazione Italiana Guide e Scouts d'Europa Cattolici ・ Associazione Italiana Pneumologi Ospedalieri ・ Associazione Librai Antiquari d'Italia ・ Associazione Luca Coscioni ・ Associazione Nazionale Costruttori Edili ・ Associazione Nazionale della Pastorizia 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 Associator ： ウィキペディア英語版 Associator In abstract algebra, the term associator is used in different ways as a measure of the nonassociativity of an algebraic structure. ==Ring theory== For a nonassociative ring or algebra $R$, the associator is the multilinear map $()\; :\; R\; \backslash times\; R\; \backslash times\; R\; \backslash to\; R$ given by :$()\; =\; (xy)z\; -\; x(yz).\backslash ,$ Just as the commutator measures the degree of noncommutativity, the associator measures the degree of nonassociativity of $R$. It is identically zero for an associative ring or algebra. The associator in any ring obeys the identity :$w()\; +\; ()z\; =\; ()\; -\; ()\; +\; ().\backslash ,$ The associator is alternating precisely when $R$ is an alternative ring. The associator is symmetric in its two rightmost arguments when $R$ is a pre-Lie algebra. The nucleus is the set of elements that associate with all others: that is, the ''n'' in ''R'' such that :$()\; =\; ()\; =\; ()\; =\; \backslash \; \backslash \; .$ It turns out that any two of $((),()\; ,\; ())$ being $\backslash$ implies that the third is also the zero set. 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「Associator」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.