ICE-closed subcategories and epibricks over one-point extensions
Representation Theory
2024-01-12 v1
Abstract
Let be the one-point extension algebra of by an -module . We proved that every ICE-closed subcategory in can be extended to be some ICE-closed subcategories in.In the same way, every epibrick in can be extended to be some epibricks in .The number of ICE-closed subcategories in and the number of ICE-closed subcategories in are denoted respectively as , .We can conclude the following inequality: This is the analogical in epibricks.As an application, we can get some wide -tilting modules of by wide -tilting modules of .
Cite
@article{arxiv.2401.05645,
title = {ICE-closed subcategories and epibricks over one-point extensions},
author = {Xin Li and Hanpeng Gao},
journal= {arXiv preprint arXiv:2401.05645},
year = {2024}
}
Comments
10 pages