The brick-infinite, brick-continuous and generic-brick equivalence conjecture

Let $\Lambda$ be an algebra. It is brick-infinite if it has infinitely many pairwise non-isomorphic bricks, brick-continuous if, for some positive integer $d$, it has an infinite family of pairwise non-isomorphic bricks of length $d$, and a generic brick if it is a generic module that is also a brick.

Brick-infinite equivalence conjecture. The following are equivalent:

1. $\Lambda$ is brick-infinite.
2. $\Lambda$ is brick-continuous.
3. $\Lambda$ admits a generic brick.

This is presented as the paper's main conjecture for arbitrary algebras and is intended as a stronger version of the brick-discrete–brick-finite conjecture. Its resolution is not supplied in the source.