A bijection between tilting subcategories and cotorsion pairs in extriangulated categories

Z Zhu, J Wei - arXiv preprint arXiv:2403.03546, 2024 - arxiv.org
Let $\mathscr {C} $ be an extriangulated category with enough projectives and injectives.
We give a new definition of tilting subcategories of $\mathscr {C} $ and prove it coincides …

A bijection between tilting subcategories and cotorsion pairs in extriangulated categories

Z Zhu, J Wei - arXiv e-prints, 2024 - ui.adsabs.harvard.edu
Abstract Let $\mathscr {C} $ be an extriangulated category with enough projectives and
injectives. We give a new definition of tilting subcategories of $\mathscr {C} $ and prove it …