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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 R-algebroid ： ウィキペディア英語版 R-algebroid In mathematics, R-algebroids are constructed starting from groupoids. These are more abstract concepts than the Lie algebroids that play a similar role in the theory of Lie groupoids to that of Lie algebras in the theory of Lie groups. (Thus, a Lie algebroid can be thought of as 'a ''Lie algebra with many objects'' '). ==Definition== An R-algebroid, $R\backslash mathsf$, is constructed from a groupoid $\backslash mathsf$ as follows. The object set of $R\backslash mathsf$ is the same as that of $\backslash mathsf$ and $R\backslash mathsf(b,c)$ is the free R-module on the set $\backslash mathsf(b,c)$, with composition given by the usual bilinear rule, extending the composition of $\backslash mathsf$.〔G. H. Mosa: ''Higher dimensional algebroids and Crossed complexes'', PhD Thesis, University of Wales, Bangor, (1986). (supervised by Ronald Brown)〕 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「R-algebroid」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.