翻訳と辞書 Words near each other ・ Cater Hall ・ Cater MetroTrolley ・ Cater Rand ・ Caterair ・ Cateran ・ Cateran Hole ・ Cateran Trail ・ Caterer (surname) ・ Caterham ・ Category mistake ・ Category O ・ Category of abelian groups ・ Category of being ・ Category of elements ・ Category of finite-dimensional Hilbert spaces ・ Category of groups ・ Category of magmas ・ Category of manifolds ・ Category of medial magmas ・ Category of metric spaces ・ Category of modules ・ Category of preordered sets ・ Category of relations ・ Category of rings ・ Category of sets ・ Category of small categories ・ Category of topological spaces ・ Category of topological vector spaces ・ Category performance ratio ・ Category theory 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 Category of groups ： ウィキペディア英語版 Category of groups In mathematics, the category Grp has the class of all groups for objects and group homomorphisms for morphisms. As such, it is a concrete category. The study of this category is known as group theory. ==Relation to other categories== There are two forgetful functors from Grp: M:Grp → Mon U:Grp → Set Where M has two adjoints: One right; I:Mon→Grp One left; K:Mon→Grp Here I:Mon→Grp is the functor sending every monoid to the submonoid of invertible elements and K:Mon→Grp the functor sending every monoid to the Grothendieck group of that monoid. The forgetful functor U:Grp → Set has a left adjoint given by the composite KF:Set→Mon→Grp where F is the free functor. 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「Category of groups」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.