Evolution algebras whose evolution operator is a homomorphism. Issue 6 (14th October 2021)

• Record Type: Journal Article
• Authors: Fernández‐Ternero, Desamparados; Gómez‐Sousa, Víctor Manuel; Núñez‐Valdés, Juan
• Is Part Of: Computational and mathematical methods. Volume 3:Issue 6(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-10-14
• Subjects: algorithm -- classification -- evolution algebras -- evolution operator -- homomorphism; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1200
• Languages: English
• ISSNs: 2577-7408

Abstract

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 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.