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Homological Ideals as Integer Specializations of Some Brauer Configuration Algebras

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Ukrainian Mathematical Journal Aims and scope

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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Authors and Affiliations

  1. Universidad de Caldas, Caldas, Colombia

    P. F. Fernández Espinosa

  2. Universidad Nacional de Colombia, Bogotá, Colombia

    A. Moreno Cañadas

Authors
  1. P. F. Fernández Espinosa
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  2. A. Moreno Cañadas
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Correspondence to A. Moreno Cañadas.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 9, pp. 1201–1215, September, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i9.6218.

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Espinosa, P.F.F., Cañadas, A.M. Homological Ideals as Integer Specializations of Some Brauer Configuration Algebras. Ukr Math J 74, 1369–1385 (2023). https://doi.org/10.1007/s11253-023-02141-6

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  • DOI: https://doi.org/10.1007/s11253-023-02141-6

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