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 …

[PDF][PDF] Relative cluster tilting subcategories in an extriangulated category

Z Zhang, S Wang - Electronic Research Archive, 2023 - aimspress.com
Let B be an extriangulated category which admits a cluster tilting subcategory T. We firstly
introduce notions of T-cluster tilting subcategories and related subcategories. Then we …