Evolution algebras whose evolution operator is a homomorphism

Evolution algebras whose evolution operator is a homomorphism

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...

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Veröffentlicht in:Computational and mathematical methods 2021-11, Vol.3 (6), p.n/a
Hauptverfasser: Fernández‐Ternero, Desamparados, Gómez‐Sousa, Víctor Manuel, Núñez‐Valdés, Juan
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
algorithm
Algorithms
classification
Evolution
evolution algebras
evolution operator
homomorphism
Homomorphisms
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Beschreibung
Zusammenfassung: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.
ISSN:2577-7408
2577-7408
DOI:10.1002/cmm4.1200