Homological ideals as integer specializations of some Brauer configuration algebras

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.