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Effaceable functor : ウィキペディア英語版 | Effaceable functor In mathematics, an effaceable functor is an additive functor ''F'' between abelian categories ''C'' and ''D'' for which, for each object ''A'' in ''C'', there exists a monomorphism , for some ''M'', such that . Similarly, a coeffaceable functor is one for which, for each ''A'', there is an epimorphism into ''A'' that is killed by ''F''. The notions were introduced in Grothendieck's Tohoku paper. A theorem of Grothendieck says that every effaceble δ-functor (i.e., effaceable in each degree) is universal. == Further reading ==
*http://math.stackexchange.com/questions/44382/meaning-of-efface-in-effaceable-functor-and-injective-effacement
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「Effaceable functor」の詳細全文を読む
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