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arXiv · 1412.0188

Covering techniques in Auslander-Reiten theory

Claudia Chaio·Patrick Le Meur·Sonia Trepode
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Abstract

Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander-Reiten component of the algebra. This is applied to study the composition of irreducible morphisms between indecomposable modules in relation with the powers of the radical of the module category.

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BibTeXRIS

Claudia Chaio, Patrick Le Meur, Sonia Trepode. 2014-11-30. Covering techniques in Auslander-Reiten theory. https://doi.org/10.1016/j.jpaa.2018.04.013

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