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math.CT2025
Extriangulated factorization systems, -torsion pairs and recollements
Yan Xu, Haicheng Zhang, Zhiwei Zhu
We introduce extriangulated factorization systems in extriangulated categories and show that there exists a bijection between -torsion pairs and extriangulated factorization sys…
math.CT2020★ 1 cited
Idempotent completion of extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang +1
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. In this paper, we show that the idem…