2 papers
math.RT2023
Classifying -structures via ICE-closed subcategories and a lattice of torsion classes
Arashi Sakai
In a triangulated category equipped with a -structure, we investigate a relation between ICE-closed (=Image-Cokernel-Extension-closed) subcategories of the heart of the -stru…
math.CT2021
Localization of extriangulated categories
Hiroyuki Nakaoka, Yasuaki Ogawa, Arashi Sakai
In this article, we show that the localization of an extriangulated category by a multiplicative system satisfying mild assumptions can be equipped with a natural, universal struct…