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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 Weierstrass ring ： ウィキペディア英語版 Weierstrass ring In mathematics, a Weierstrass ring, named by after Karl Weierstrass, is a commutative local ring that is Henselian, pseudo-geometric, and such that any quotient ring by a prime ideal is a finite extension of a regular local ring. ==Examples== *The Weierstrass preparation theorem can be used to show that the ring of convergent power series over the complex numbers in a finite number of variables is a Wierestrass ring. The same is true if the complex numbers are replaced by a perfect field with a valuation. *Every ring that is a finitely-generated module over a Weierstrass ring is also a Weierstrass 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「Weierstrass 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.