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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 Monoidal adjunction ： ウィキペディア英語版 Monoidal adjunction Suppose that $(\backslash mathcal\; C,\backslash otimes,I)$ and $(\backslash mathcal\; D,\backslash bullet,J)$ are two monoidal categories. A monoidal adjunction between two lax monoidal functors :$(F,m):(\backslash mathcal\; C,\backslash otimes,I)\backslash to\; (\backslash mathcal\; D,\backslash bullet,J)$ and $(G,n):(\backslash mathcal\; D,\backslash bullet,J)\backslash to(\backslash mathcal\; C,\backslash otimes,I)$ is an adjunction $(F,G,\backslash eta,\backslash varepsilon)$ between the underlying functors, such that the natural transformations :$\backslash eta:1\_\backslash Rightarrow\; G\backslash circ\; F$ and $\backslash varepsilon:F\backslash circ\; G\backslash Rightarrow\; 1\_$ are monoidal natural transformations. == Lifting adjunctions to monoidal adjunctions == Suppose that :$(F,m):(\backslash mathcal\; C,\backslash otimes,I)\backslash to\; (\backslash mathcal\; D,\backslash bullet,J)$ is a lax monoidal functor such that the underlying functor $F:\backslash mathcal\; C\backslash to\backslash mathcal\; D$ has a right adjoint $G:\backslash mathcal\; D\backslash to\backslash mathcal\; C$. This adjuction lifts to a monoidal adjuction $(F,m)$⊣$(G,n)$ if and only if the lax monoidal functor $(F,m)$ is strong. 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「Monoidal adjunction」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.