Large Bricks and Join-irreducible torsionfree classes

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.

Found a gap in the proof of Proposition 3.9