Classification of three-dimensional evolution algebras

Classification of three-dimensional evolution algebras

We classify three dimensional evolution algebras over a field having characteristic different from 2 and in which there are roots of orders 2, 3 and 7.

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Veröffentlicht in:Linear algebra and its applications 2017-07, Vol.524, p.68-108
Hauptverfasser: Cabrera Casado, Yolanda, Siles Molina, Mercedes, Velasco, M. Victoria
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Annihilator
Evolution
Evolution algebra
Extension property
Genetic algebra
Linear algebra
Mathematical analysis
Vector space
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Beschreibung
Zusammenfassung:We classify three dimensional evolution algebras over a field having characteristic different from 2 and in which there are roots of orders 2, 3 and 7.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2017.02.015