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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 Augmentation (algebra) ： ウィキペディア英語版 Augmentation (algebra) In algebra, an augmentation of an associative algebra ''A'' over a field ''k'' is an algebra homomorphism $A\; \backslash to\; k$, typically denoted by ε. An algebra together with an augmentation is called an augmented algebra. For example, if $A\; =k()$ is the group algebra of a group ''G'', then :$A\; \backslash to\; k,\; \backslash ,\; \backslash sum\; a\_i\; x\_i\; \backslash mapsto\; \backslash sum\; a\_i$ is an augmentation. The kernel is called the augmentation ideal of ''A''. ==References== * 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「Augmentation (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.