Gorenstein dimension of abelian categories arising from cluster tilting subcategories
Y Liu, P Zhou - Czechoslovak Mathematical Journal, 2021 - Springer
Abstract Let \ mathscr {C\} C be a triangulated category and \ mathscr {X\} X be a cluster
tilting subcategory of \ mathscr {C\} C. Koenig and Zhu showed that the quotient category …
tilting subcategory of \ mathscr {C\} C. Koenig and Zhu showed that the quotient category …
On the relation between relative rigid and support tilting
Y Liu, P Zhou - arXiv preprint arXiv:2003.12788, 2020 - arxiv.org
Let B be an extriangulated category with enough projectives and enough injectives. Let C be
a fully rigid subcategory of B which admits a twin cotorsion pair ((C, K),(K, D)). The quotient …
a fully rigid subcategory of B which admits a twin cotorsion pair ((C, K),(K, D)). The quotient …
Gorenstein dimension of abelian categories
Y Liu, P Zhou - arXiv preprint arXiv:1904.09797, 2019 - arxiv.org
Let C be triangulated category and X a cluster tilting subcategory of C. Koenig and Zhu
showed that the quotient category C/X is Gorenstein of Gorenstein dimension at most one …
showed that the quotient category C/X is Gorenstein of Gorenstein dimension at most one …