Large Bricks and Join-irreducible torsionfree classes
Representation Theory
2024-05-14 v2
Abstract
We show that every join-irreducible torsionfree class in the category of finitely generated modules over an artinian ring is cogenerated by a single (not necessarily finitely generated) brick. This is a partial extension of the characterisation of completely join-irreducible torsionfree classes given by Barnard, Carroll and Zhu.
Keywords
Cite
@article{arxiv.2405.05635,
title = {Large Bricks and Join-irreducible torsionfree classes},
author = {Francesco Sentieri},
journal= {arXiv preprint arXiv:2405.05635},
year = {2024}
}
Comments
Found a gap in the proof of Proposition 3.9