[HTML][HTML] Higher Auslander–Solberg correspondence for exact categories
JF Grevstad - Journal of Pure and Applied Algebra, 2024 - Elsevier
We introduce the concept of an n-minimal Auslander–Gorenstein category and n-precluster
tilting subcategory. With this, we create an analog of the higher Auslander–Solberg …
tilting subcategory. With this, we create an analog of the higher Auslander–Solberg …
Silting interval reduction and 0-Auslander extriangulated categories
J Pan, B Zhu - arXiv preprint arXiv:2401.13513, 2024 - arxiv.org
We give a reduction theorem for silting intervals in extriangulated categories, which we call"
silting interval reduction".%{In triangulated categories, it generalizes Pauksztello …
silting interval reduction".%{In triangulated categories, it generalizes Pauksztello …
Support τ-tilting subcategories in exact categories
J Pan, Y Zhang, B Zhu - Journal of Algebra, 2023 - Elsevier
Abstract Let E=(A, S) be an exact category with enough projectives P. We introduce the
notion of support τ-tilting subcategories of E. It is compatible with the existing definitions of …
notion of support τ-tilting subcategories of E. It is compatible with the existing definitions of …
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 …