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Classifying Evolution Algebras of Dimensions Two and Three

Author

Listed:
  • M. Eugenia Celorrio

    (Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, UK
    These authors contributed equally to this work.)

  • M. Victoria Velasco

    (Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
    These authors contributed equally to this work.)

Abstract

We classified evolution algebras of dimensions two and three. Evolution algebras of dimensions three were classified recently obtaining 116 non-isomorphic types of algebras. Herein, with a new approach, we classify these algebras into 14 non-isomorphic types of algebra, so that this new classification is easier to deal with.

Suggested Citation

  • M. Eugenia Celorrio & M. Victoria Velasco, 2019. "Classifying Evolution Algebras of Dimensions Two and Three," Mathematics, MDPI, vol. 7(12), pages 1-25, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1236-:d:297603
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    Citations

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    Cited by:

    1. Farrukh Mukhamedov & Izzat Qaralleh, 2021. "On S -Evolution Algebras and Their Enveloping Algebras," Mathematics, MDPI, vol. 9(11), pages 1-23, May.
    2. Farrukh Mukhamedov & Izzat Qaralleh, 2023. "On Extendibility of Evolution Subalgebras Generated by Idempotents," Mathematics, MDPI, vol. 11(12), pages 1-18, June.

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