Grothendieck范畴中的内射Precover和内射Cover

Injective Precovers and Injective Covers of Objects in Grothendieck Categories

本文在 Grothendieck 范畴中引入了内射 Precover 及内射 Cover 的概念,讨论了其性质,并给出了存在的充要条件.[2]、[3]中关于模范畴的一些结果可以看成是本文结果之特款.

This paper makes studies on injective precovers and injective covers of objects in Grothendieck categories.It also points out the sufficient and necessary conditions in which all objects in Grothendieck categories have injective preco- vers and injective covers.The main results are generalizations of Enochs and Teply.