English

On the nilpotency index of the radical of a module category

Representation Theory 2020-03-10 v1

Abstract

Let AA be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to determine which vertices of QAQ_A are suficient to be consider in order to compute the nilpotency index of the radical of the module category of AA. In many cases, we give a formula to compute such index taking into account the ordinary quiver of the given algebra.

Keywords

Cite

@article{arxiv.2003.04189,
  title  = {On the nilpotency index of the radical of a module category},
  author = {Claudia Chaio and Victoria Guazzelli and Pamela Suarez},
  journal= {arXiv preprint arXiv:2003.04189},
  year   = {2020}
}

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29 pages