Type: Article

A representation embedding for algebras of infinite type

Bautista, Raymundo; E Pérez, E.; Salmerón, L.;

Abstract:

We show that for any finite-dimensional algebra ? of infinite representation type, over a perfect field, there is a bounded principal ideal domain ? and a representation embedding from into . As an application, we prove a variation of the second Brauer-Thrall conjecture: finite-dimensional algebras of infinite-representation type admit infinite families of non-isomorphic finite-dimensional indecomposables with fixed endolength, for infinitely many endolengths.