A generalization of the nilpotency index of the radical of the module category of an algebra

Let \(A\) be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to generalize the results proven in CGS. Precisely, we determine which vertices of \(Q_A\) are sufficient to be considered in order to compute the nilpotency index of the radic...

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Bibliographic Details
Published in:arXiv.org 2023-08
Main Authors: Chaio, Claudia, Suarez, Pamela
Format: Article
Language:English
Subjects:
Algebra
Apexes
Modules
Online Access:Get full text
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Summary:Let \(A\) be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to generalize the results proven in CGS. Precisely, we determine which vertices of \(Q_A\) are sufficient to be considered in order to compute the nilpotency index of the radical of the module category of a monomial algebra and a toupie algebra \(A\), when the Auslander-Reiten quiver is not necessarily a component with length.
ISSN:2331-8422