Claudia Chaio, Victoria Guazzelli, Pamela Suarez
Published 2020-03-09Version 1
Let $A$ be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to determine which vertices of $Q_A$ are suficient to be consider in order to compute the nilpotency index of the radical of the module category of $A$. In many cases, we give a formula to compute such index taking into account the ordinary quiver of the given algebra.
A generalization of the nilpotency index of the radical of the module category of an algebra
On the radical of the module category of an endomorphism algebra
From subcategories to the entire module categories
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