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

Claudia Chaio; Pamela Suarez

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arXiv · 2308.12824

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

Claudia Chaio·Pamela Suarez

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Abstract

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.

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Claudia Chaio, Pamela Suarez. 2023-08-24. A generalization of the nilpotency index of the radical of the module category of an algebra. https://arxiv.org/abs/2308.12824

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