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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 Opposite ring ： ウィキペディア英語版 Opposite ring In algebra, the opposite of a ring is another ring with the same elements and addition operation, but with the multiplication performed in the reverse order.〔Berrick & Keating (2000), (p. 19 )〕 More precisely, the opposite of a ring is the ring whose multiplication ∗ is defined by . Ring addition is per definition commutative. ==Properties== Two rings ''R''1 and ''R''2 are isomorphic if and only if their corresponding opposite rings are isomorphic. The opposite of the opposite of a ring is isomorphic to that ring. A ring and its opposite ring are anti-isomorphic. A commutative ring is always equal to its opposite ring. A non-commutative ring may or may not be isomorphic to its opposite ring. 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「Opposite 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.