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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 Commutative ring spectrum ： ウィキペディア英語版 Commutative ring spectrum In the mathematical field of algebraic topology, a commutative ring spectrum, roughly equivalent to a $E\_\backslash infty$-ring spectrum, is a commutative monoid in a good〔symmetric monoidal with respect to smash product and perhaps some other conditions; one choice is the category of symmetric spectra〕 category of spectra. The category of commutative ring spectra over the field $\backslash mathbb$ of rational numbers is Quillen equivalent to the category of differential graded algebras over $\backslash mathbb$. Example: The Witten genus may be realized as a morphism of commutative ring spectra MString →tmf. See also: simplicial commutative ring, highly structured ring spectrum and derived scheme. == Terminology == Almost all reasonable categories of commutative ring spectra can be shown to be Quillen equivalent to each other. Thus, from the point view of the stable homotopy theory, the term "commutative ring spectrum" may be used as a synonymous to an $E\_\backslash infty$-ring spectrum. 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「Commutative ring spectrum」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.