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arXiv · 2510.23758

Mesh-comparable components of the Auslander-Reiten quiver

Viktor Chust·Flávio U. Coelho
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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.

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BibTeXRIS

Viktor Chust, Flávio U. Coelho. 2025-10-27. Mesh-comparable components of the Auslander-Reiten quiver. https://arxiv.org/abs/2510.23758

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