ICE-closed subcategories and epibricks over recollements
Representation Theory
2025-02-07 v1 Category Theory
Abstract
Let be a recollement of abelian categories. We proved that every ICE-closed subcategory (resp. epibrick, monobrick) in or can be extended to an ICE-closed subcategories (resp. epibrick, monobrick) in , and the assignment defines a bijection between certain ICE-closed subcategories in and those in . Moreover, the ICE-closed subcategory of containing admits a new recollement relative to ICE-closed subcategories and which induced from the original recollement when .
Cite
@article{arxiv.2502.03887,
title = {ICE-closed subcategories and epibricks over recollements},
author = {Jinrui Yang and Yongyun Qin},
journal= {arXiv preprint arXiv:2502.03887},
year = {2025}
}