翻訳と辞書 Words near each other ・ Factorial prime ・ Factories Act 1847 ・ Factories Act 1948 ・ Factories Act 1961 ・ Factories/Indians ・ Factoring ・ Factoring (finance) ・ Factoring Regulation Act, 2011 ・ Factorio ・ Factorion ・ Factorization ・ Factorization lemma ・ Factorization of polynomials ・ Factorization of polynomials over finite fields ・ Factorization of the mean ・ Factorization system ・ Factors affecting permeability of soils ・ Factors associated with being a victim of sexual violence ・ Factors of polymer weathering ・ Factors of production ・ Factors of the Seven ・ Factorum ac dictorum memorabilium libri IX ・ Factory ・ Factory (Band of Horses song) ・ Factory (band) ・ Factory (Buckethead album) ・ Factory (disambiguation) ・ Factory (object-oriented programming) ・ Factory (openSUSE) ・ Factory (trading post) 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 Factorization system ： ウィキペディア英語版 Factorization system In mathematics, it can be shown that every function can be written as the composite of a surjective function followed by an injective function. Factorization systems are a generalization of this situation in category theory. ==Definition== A factorization system (''E'', ''M'') for a category C consists of two classes of morphisms ''E'' and ''M'' of C such that: #''E'' and ''M'' both contain all isomorphisms of C and are closed under composition. #Every morphism ''f'' of C can be factored as $f=m\backslash circ\; e$ for some morphisms $e\backslash in\; E$ and $m\backslash in\; M$. #The factorization is ''functorial'': if $u$ and $v$ are two morphisms such that $vme=m\text{'}e\text{'}u$ for some morphisms $e,\; e\text{'}\backslash in\; E$ and $m,\; m\text{'}\backslash in\; M$, then there exists a unique morphism $w$ making the following diagram commute: ''Remark:'' $(u,v)$ is a morphism from $me$ to $m\text{'}e\text{'}$ in the arrow category. 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「Factorization system」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.