Article
Evolution algebras whose evolution operator is a homomorphism
Author/s | Fernández Ternero, Desamparados
![]() ![]() ![]() ![]() ![]() ![]() ![]() Gómez Sousa, Víctor Manuel ![]() ![]() ![]() ![]() Núñez Valdés, Juan ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2021-09-30 |
Deposit Date | 2023-04-14 |
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Abstract | This article deals with the evolution operator of evolution algebras. We give a theorem that allows to characterize these algebras when this operator is a homomorphism of algebras of rank n-2 and this result in turn allows ... This article deals with the evolution operator of evolution algebras. We give a theorem that allows to characterize these algebras when this operator is a homomorphism of algebras of rank n-2 and this result in turn allows us to extend the classification of this type of algebras, given in a previous result by ourselves in 2021, up to the case of dimension 4. For this purpose, we analyze and make use of an algorithm for the degenerate case. A computational study of the procedure is also made. |
Citation | Fernández Ternero, D., Gómez Sousa, V.M. y Núñez Valdés, J. (2021). Evolution algebras whose evolution operator is a homomorphism. Computational and Mathematical Methods. https://doi.org/10.1002/cmm4.1200. |
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