A Characterization of Associative Evolution Algebras

Authors

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.

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Published

2023-02-17

How to Cite

1.
Fernández Ternero D, Gómez Sousa VM, Núñez-Valdés J. A Characterization of Associative Evolution Algebras. Contemp. Math. [Internet]. 2023 Feb. 17 [cited 2024 Apr. 18];4(1):42-8. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2167