Fernández Ternero, DesamparadosGómez Sousa, Víctor ManuelNúñez Valdés, Juan2025-01-282025-01-282021-01-17Fernández Ternero, D., Gómez Sousa, V.M. y Núñez Valdés, J. (2021). The evolution operator of evolution algebras. Linear and Multilinear Algebra, 70 (19), 4377-4396. https://doi.org/10.1080/03081087.2021.1878998.0308-10871563-5139https://hdl.handle.net/11441/167706This paper deals with the evolution operator of evolution algebras. The main goal is to obtain novel results of this operator, both in the case in which it is a derivation and when it is a homomorphism of algebras. These new results constitute a criterion for classifying evolution algebras satisfying one of these conditions. An algorithm to obtain all these degenerate evolution algebras starting from those of smaller dimensions is also constructed.application/pdf21 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Evolution operatorEvolution algebrasAlgorithminfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1080/03081087.2021.1878998