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Abelian Hearts of Twin Cotorsion Pairs on Extriangulated Categories

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成果类型:
期刊论文
作者:
Huang, Qiong;Zhou, Panyue
通讯作者:
Zhou, PY
作者机构:
[Huang, Qiong] Hunan Normal Univ, Sch Math & Stat, Key Lab Comp & Stochast Math, Minist Educ, Changsha 410081, Peoples R China.
[Zhou, Panyue] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China.
通讯机构:
[Zhou, PY ] C
Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China.
语种:
英文
关键词:
hearts;cotorsion pairs;extriangulated categories;d-cluster tilting subcategories;fully rigid subcategories
期刊:
代数集刊:英文版
ISSN:
1005-3867
年:
2023
卷:
30
期:
03
页码:
449-466
基金类别:
Panyue Zhou was supported by the Hunan Provincial Natural Science Foundation of China(Grant No.2023JJ30008).
机构署名:
本校为通讯机构
院系归属:
数学与统计学院
摘要:
It was shown recently that the heart of a twin cotorsion pair on an extriangulated category is semi-abelian. In this article, we consider a special class of hearts of twin cotorsion pairs induced by d-cluster tilting subcategories in extriangulated categories. We give a necessary and sufficient condition for such hearts to be abelian. In particular, we can also see that such hearts are hereditary. As an application, this generalizes the work by Liu in the exact case...
摘要(中文):
It was shown recently that the heart of a twin cotorsion pair on an extriangulated category is semi-abelian.In...展开更多 It was shown recently that the heart of a twin cotorsion pair on an extriangulated category is semi-abelian.In this article,we consider a special class of hearts of twin cotorsion pairs induced by d-cluster tilting subcategories in extriangulated categories.We give a necessary and sufficient condition for such hearts to be abelian.In particular,we can also see that such hearts are hereditary.As an application,this generalize...

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