A Characterization of Associative Evolution Algebras

Desamparados Fernández Ternero; Víctor Manuel Gómez Sousa; Juan Núñez-Valdés

doi:10.37256/cm.4120232167

A Characterization of Associative Evolution Algebras

Authors

Desamparados Fernández Ternero Department of Geometry and Topology, University of Seville, Spain https://orcid.org/0000-0003-2712-0902
Víctor Manuel Gómez Sousa Department of Geometry and Topology, University of Seville, Spain https://orcid.org/0000-0002-7372-3694
Juan Núñez-Valdés Department of Geometry and Topology, University of Seville, Spain https://orcid.org/0000-0002-8413-6735

DOI:

https://doi.org/10.37256/cm.4120232167

Keywords:

evolution algebras, associative algebras, classification, derivations

Abstract

Evolution algebras are non-associative in general, that is, the binary multiplication law is not associative. However, there exist some of them that are associative. In this paper we deal with these last ones. We give an explicit classification of these algebras and show that the concept of associativity is equivalent to the existence of an unitary element for non-degenerate evolution algebras. We also explicitly describe the derivation space of these algebras.

Downloads

Published

2023-02-17

How to Cite

Fernández Ternero D, Gómez Sousa VM, Núñez-Valdés J. A Characterization of Associative Evolution Algebras. Contemp. Math. [Internet]. 2023 Feb. 17 [cited 2026 Jun. 19];4(1):42-8. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2167

Download Citation

Issue

Contemporary Mathematics, Volume 4 Issue 1 (2023), 1-181

Section

Research Article