3 papers
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.RT2025
Wakamatsu-tilting subcategories in extriangulated categories
Zhiwei Zhu, Jiaqun Wei
Let be an extriangulated category with enough projectives and injectives. We give the definitions of Wakamatsu-tilting subcategories and Wakamatsu-cotilting subcatego…
math.RT2024
A bijection between support -tilting subcategories and -cotorsion pairs in extriangulated categories
Zhiwei Zhu, Jiaqun Wei
Let be an extriangulated category with enough projectives and injectives. We give a new definition of tilting subcategories of and prove it coincides wi…