Desamparados Fernández-Ternero, Víctor Manuel Gómez-Sousa, Juan Núñez-Valdés
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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 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.
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