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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 Categorical ring ： ウィキペディア英語版 Categorical ring In mathematics, a categorical ring is, roughly, a category equipped with addition and multiplication. In other words, a categorical ring is obtained by replacing the underlying set of a ring by a category. For example, given a ring ''R'', let ''C'' be a category whose objects are the elements of the set ''R'' and where morphisms are only the identity morphisms. Then ''C'' is a categorical ring. But the point is that one can also consider the situation in which an element of ''R'' comes with a "nontrivial automorphism" (cf. Lurie). This line of generalization of a ring eventually leads to the notion of an ''E''''n''-ring. == See also == *categorification 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「Categorical ring」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.