Pure-direct-injective objects in Grothendieck categories

被引：0
|
作者：
Sultan Eylem Toksoy
Aliye Yiğit
机构：
[1] Hacettepe University,Department of Mathematics
来源：
São Paulo Journal of Mathematical Sciences | 2023年 / 17卷
关键词：
Pure-direct-injective object; Direct-injective object; Grothendieck category; Abelian category; Module category; Comodule category; 18E10; 16D90; 16T15;
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中图分类号：
学科分类号：
摘要：
In this paper we study generalizations of the concept of pure-direct-injectivity from module categories to Grothendieck categories. We examine for which categories or under what conditions pure-direct-injective objects are direct-injective, quasi-injective, pure-injective and injective. We investigate classes all of whose objects are pure-direct-injective. We give applications of some of the results to comodule categories.
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页码：831 / 849
页数：18
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