Mesh-comparable components of the Auslander-Reiten quiver
Representation Theory
2025-10-29 v1
Abstract
The idea of using Riedtmann's well-behaved functors to study compositions of irreducible morphisms has been explored in a number of articles. Here we introduce the concept of mesh-comparable components of the Auslander-Reiten quiver, which are components for which a Riedtmann functor exists without the necessity of taking a covering, such as the universal or the generic one. We show properties of this type of component, and study the problem of compositions of irreducible morphisms in this context.
Cite
@article{arxiv.2510.23758,
title = {Mesh-comparable components of the Auslander-Reiten quiver},
author = {Viktor Chust and Flávio U. Coelho},
journal= {arXiv preprint arXiv:2510.23758},
year = {2025}
}