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Admissible weak factorization systems on extriangulated categories

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成果类型:
期刊论文
作者:
Ma, Yajun;You, Hanyang;Zhang, Dongdong;Zhou, Panyue
通讯作者:
Zhang, DD
作者机构:
[Ma, Yajun] Lanzhou Jiaotong Univ, Sch Math & Phys, Lanzhou 730070, Peoples R China.
[You, Hanyang] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China.
[Zhang, Dongdong; Zhang, DD] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China.
[Zhou, Panyue] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China.
通讯机构:
[Zhang, DD ] Z
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China.
语种:
英文
关键词:
Extriangulated category;admissible weak factorization system;cotorsion pair
期刊:
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
ISSN:
0219-4988
年:
2025
卷:
Accepted Papers
基金类别:
Zhejiang Provincial Natural Science Foundation of China [LQ23A010004]; National Natural Science Foundation of China [12371034]; Scientific Research Fund of Hunan Provincial Education Department [24A0221]
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
Extriangulated categories, introduced by Nakaoka and Palu, serve as a simultaneous generalization of exact and triangulated categories. In this paper, we first introduce the concept of admissible weak factorization systems and establish a bijection between cotorsion pairs and admissible weak factorization systems on extriangulated categories. Consequently, some descriptions of hereditary cotorsion pairs and compatible cotorsion pairs are given via admissible weak factorization systems under certain conditions in extriangulated cat...

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