Work

Admissible weak factorization systems on extriangulated categories

Year: 2025

Type: article

Abstract: 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 categories, thereby generalizing a result by Di, Li, and Liang.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s021949882650204x

Authors: Yajun Ma, Hanyang You, Dongdong Zhang, Panyue Zhou

Institutions: Lanzhou Jiaotong University, Hangzhou Normal University, Zhejiang Normal University, Changsha University of Science and Technology

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hunan Province

Awards: G2271735553, G5184939875