Dimensions and cotorsion pairs in recollements of extriangulated categories

被引：0

作者：

Ma, Xin ^{[1
]}

Zhou, Panyue ^{[2
]}

机构：

[1] Henan Univ Engn, Coll Sci, Zhengzhou, Henan, Peoples R China

[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 01期

关键词：

Coresolution dimension; cotorsion pair; extriangulated category; recollement; TILTING SUBCATEGORIES; HEARTS;

D O I：

10.1080/00927872.2024.2374436

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (A,B,C) be a recollement of extriangulated categories. In this paper, we provide bounds on the coresolution dimensions of the subcategories involved in A, B , and C . We show that a hereditary cotorsion pair in B can induce hereditary cotorsion pairs in A and C under certain conditions. Besides, we construct recollements of abelian categories from a recollement of extriangulated categories with respect to the hearts of cotorsion pairs.

引用

页码：242 / 258

页数：17

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