?-pure derived categories of a Grothendieck category

被引：0
|
作者：
Wang, Xi [1 ,2 ]
Yao, Hailou [1 ]
Shen, Lei [2 ]
机构：
[1] Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China
[2] Sichuan Univ Arts & Sci, Coll Math, Dazhou 635000, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 12期
基金：
中国国家自然科学基金;
关键词：
-Presentable object; -pure projective object; -pure acyclic complex; -pure derived category;
D O I：
10.1142/S0219498824501974
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let ?? be a Grothendieck category, ? an infinite regular cardinal. We investigate the ?-purity of ??, and the ?-pure acyclic complexes in C(??). Using the ?-presentable objects, we verify that the class of ?-pure acyclic complexes is a thick subcategory of homotopy category. Then we construct ?-pure derived category naturally. Through some specific constructions, we get that bounded above ?-pure derived categories coincide with specific homotopy categories.
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页数：22
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