Relative cluster tilting theory and -tilting theory
Y Liu, J Pan, P Zhou - arXiv preprint arXiv:2405.01152, 2024 - arxiv.org
Let $\mathcal C $ be a Krull-Schmidt triangulated category with shift functor $[1] $ and
$\mathcal R $ be a rigid subcategory of $\mathcal C $. We are concerned with the mutation …
$\mathcal R $ be a rigid subcategory of $\mathcal C $. We are concerned with the mutation …
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 …
We give a new definition of tilting subcategories of $\mathscr {C} $ and prove it coincides …