12 citations · 15 across the 5 of their papers we have counts for
5 papers
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…
Image-extension-closed subcategories of module categories of hereditary algebras
Haruhisa Enomoto, Arashi Sakai
We study IE-closed subcategories of a module category, subcategories which are closed under taking Images and Extensions. We investigate the relation between IE-closed subcategorie…
Relative extriangulated categories arising from half exact functors
Arashi Sakai
Relative theories(=closed subfunctors) are considered in exact, triangulated and extriangulated categories by Dräxler-Reiten-Smalø-Solberg-Keller, Beligiannis and Herschend-Liu-Nak…
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…
ICE-closed subcategories and wide -tilting modules
Haruhisa Enomoto, Arashi Sakai
In this paper, we study ICE-closed (= Image-Cokernel-Extension-closed) subcategories of an abelian length category using torsion classes. To each interval $[\mathcal{U},\mathcal{T}…