翻訳と辞書 Words near each other ・ Coherency Granule ・ Coherent (operating system) ・ Coherent addition ・ Coherent anti-Stokes Raman spectroscopy ・ Coherent backscattering ・ Coherent control ・ Coherent diffraction imaging ・ Coherent duality ・ Coherent effects in semiconductor optics ・ Coherent electromagnetic radio tomography ・ Coherent file distribution protocol ・ Coherent information ・ Coherent perfect absorber ・ Coherent potential approximation ・ Coherent processing interval ・ Coherent ring ・ Coherent risk measure ・ Coherent sampling ・ Coherent set of characters ・ Coherent sheaf ・ Coherent Solutions ・ Coherent space ・ Coherent spectroscopy ・ Coherent states ・ Coherent states in mathematical physics ・ Coherent topology ・ Coherent turbulent structure ・ Coherent, Inc. ・ Coherentism ・ Coherer Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Coherent ring ： ウィキペディア英語版 Coherent ring In mathematics, a (left) coherent ring is a ring in which every finitely generated left ideal is finitely presented. Many theorems about finitely generated modules over Noetherian rings can be extended to finitely presented modules over coherent rings. Every left Noetherian ring is left-coherent. The ring of polynomials in an infinite number of variables is an example of a left-coherent ring that is not left Noetherian. A ring is left coherent if and only if every direct product of flat right modules is flat , . Compare this to: A ring is left Noetherian if and only if every direct sum of injective left modules is injective. ==References== * * * 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「Coherent 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.