Homological ideals as integer specializations of some Brauer configuration algebras

Pedro Fernando Fernández Espinosa; Agustín Moreno Cañadas

doi:10.37863/umzh.v74i9.6218

Pedro Fernando Fernández Espinosa Universidad de Caldas, Colombia https://orcid.org/0000-0002-2650-4536
Agustín Moreno Cañadas Universidad Nacional de Colombia, Bogota ́-Colombia https://orcid.org/0000-0001-6812-5131

DOI: https://doi.org/10.37863/umzh.v74i9.6218

Keywords: Brauer configuration algebra, Categorification, Homological ideal, Integer specialization

Abstract

UDC 512.5

The homological ideals associated with some Nakayama algebras are characterized and enumerated via integer specializations of some suitable Brauer configuration algebras. In addition, it is shown how the number of these homological ideals can be connected with the process of categorification of Fibonacci numbers defined by Ringel and Fahr.

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