Localization of triangulated categories with respect to extension-closed subcategories
Y Ogawa - arXiv preprint arXiv:2205.12116, 2022 - arxiv.org
The aim of this paper is to develop a framework for localization theory of triangulated
categories $\mathcal {C} $, that is, from a given extension-closed subcategory $\mathcal {N} …
categories $\mathcal {C} $, that is, from a given extension-closed subcategory $\mathcal {N} …
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 …
Extriangulated ideal quotients and Gabriel-Zisman localizations
Y Liu, P Zhou - arXiv preprint arXiv:2208.04536, 2022 - arxiv.org
Let $(\mathcal B,\mathbb {E},\mathfrak {s}) $ be an extriangulated category with enough
projectives and enough injectives, and $\mathcal S $ be an extension closed subcategory of …
projectives and enough injectives, and $\mathcal S $ be an extension closed subcategory of …