Some applications of extriangulated categories
Y Palu - arXiv preprint arXiv:2307.10019, 2023 - arxiv.org
Extriangulated categories axiomatize extension-closed subcategories of triangulated
categories and generalise both exact categories and triangulated categories. This survey …
categories and generalise both exact categories and triangulated categories. This survey …
Silting reduction and picture categories of 0-Auslander extriangulated categories
ED Børve - arXiv preprint arXiv:2405.00593, 2024 - arxiv.org
Let $\mathcal {C} $ be an extriangulated category and let $\mathcal {R}\subseteq\mathcal
{C} $ be a rigid subcategory. Generalizing Iyama--Yang silting reduction, we devise a …
{C} $ be a rigid subcategory. Generalizing Iyama--Yang silting reduction, we devise a …
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 …