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Simplicial group : ウィキペディア英語版 | Simplicial group In mathematics, more precisely, in the theory of simplicial sets, a simplicial group is a simplicial object in the category of groups. Similarly, a simplicial abelian group is a simplicial object in the category of abelian groups. A simplicial group is a Kan complex (in particular, its homotopy groups make sense.) The Dold–Kan correspondence says that a simplicial abelian group may be identified with a chain complex. A commutative monoid in the category of simplicial abelian groups is a simplicial commutative ring. == References ==
* * Charles Weibel, ''An introduction to homological algebra''
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「Simplicial group」の詳細全文を読む
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