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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 Heyting field ： ウィキペディア英語版 Heyting field A Heyting field is one of the inequivalent ways in constructive mathematics to capture the classical notion of a field. It is essentially a field with an apartness relation. The key field axiom is that an element is invertible if and only if it is not zero. In a Heyting field, this is taken to mean that it is ''apart'' from zero. In many cases, the assumption that an element is not equal to zero is insufficient to construct the inverse; the assumption that it is apart from zero implicitly contains the necessary information. The prototypical Heyting field is the real numbers with their natural apartness relation. ==References== * Mines, Richman, Ruitenberg. ''A Course in Constructive Algebra''. Springer, 1987. 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「Heyting field」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.