Hearts of twin cotorsion pairs revisited: Integral and Abelian hearts

被引：0
作者：
Liu, Yu [1 ]
Zhou, Panyue [2 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Shannxi, Peoples R China
[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2024年 / 646卷
基金：
中国国家自然科学基金;
关键词：
Twin cotorsion pair; Heart; Integral; Abelian; TRIANGULATED CATEGORIES;
D O I：
10.1016/j.jalgebra.2024.02.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Hearts of twin cotorsion pairs are shown to be quasi-abelian in [14]. But they are not always integral. In this article, we provide a sufficient and necessary condition for the hearts of twin cotorsion pairs being integral (resp. abelian). (c) 2024 Elsevier Inc. All rights reserved.
引用
收藏
页码：268 / 293
页数：26
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