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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 Constructible topology ： ウィキペディア英語版 Constructible topology In commutative algebra, the constructible topology on the spectrum $\backslash operatorname(A)$ of a commutative ring $A$ is a topology where each closed set is the image of $\backslash operatorname\; (B)$ in $\backslash operatorname(A)$ for some algebra ''B'' over ''A''. An important feature of this construction is that the map $\backslash operatorname(B)\; \backslash to\; \backslash operatorname(A)$ is a closed map with respect to the constructible topology. With respect to this topology, $\backslash operatorname(A)$ is a compact,〔Some authors prefer the term ''quasicompact'' here.〕 Hausdorff, and totally disconnected topological space. In general the constructible topology is a finer topology than the Zariski topology, but the two topologies will coincide if and only if $A\; /\; \backslash operatorname(A)$ is a von Neumann regular ring, where $\backslash operatorname(A)\backslash ,$ is the nilradical of ''A''. ==See also== *Constructible set (topology) 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「Constructible topology」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.