Arashi Sakai

activity

20202023

most citedICE-closed subcategories and wide

τ

-tilting modules

12 citations · 15 across the 5 of their papers we have counts for

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math.RT2023

Classifying $t$ -structures via ICE-closed subcategories and a lattice of torsion classes

Arashi Sakai

In a triangulated category equipped with a $t$ -structure, we investigate a relation between ICE-closed (=Image-Cokernel-Extension-closed) subcategories of the heart of the $t$ -stru…

math.RT2022

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…

math.RT2020★ 12 cited

ICE-closed subcategories and wide $τ$ -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}…

Classifying t-structures via ICE-closed subcategories and a lattice of torsion classes

Image-extension-closed subcategories of module categories of hereditary algebras

ICE-closed subcategories and wide τ-tilting modules

Classifying $t$ -structures via ICE-closed subcategories and a lattice of torsion classes

ICE-closed subcategories and wide $τ$ -tilting modules