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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 Nucleus (order theory) ： ウィキペディア英語版 Nucleus (order theory) In mathematics, and especially in order theory, a nucleus is a function $F$ on a meet-semilattice $\backslash mathfrak$ such that (for every $p$ in $\backslash mathfrak$): # $p\; \backslash le\; F(p)$ # $F(F(p))\; =\; F(p)$ # $F(p\; \backslash wedge\; q)\; =\; F(p)\; \backslash wedge\; F(q)$ Every nucleus is evidently a monotone function. ==Frames and locales== Usually, the term ''nucleus'' is used in frames and locales theory (when the semilattice $\backslash mathfrak$ is a frame). Proposition: If $F$ is a nucleus on a frame $\backslash mathfrak$, then the poset $\backslash operatorname(F)$ of fixed points of $F$, with order inherited from $\backslash mathfrak$, is also a frame. 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「Nucleus (order theory)」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.