Description of three-dimensional evolution algebras
Yolanda Cabrera Casado, Mercedes Siles Molina, M. Victoria Velasco
TL;DR
This paper classifies three-dimensional evolution algebras over certain fields, focusing on those with roots of orders 2, 3, and 7, providing a detailed structural understanding.
Contribution
It offers a comprehensive classification of 3D evolution algebras with specific root properties, expanding the understanding of their algebraic structure.
Findings
Complete classification of 3D evolution algebras with roots of orders 2, 3, and 7
Identification of algebraic structures based on root properties
Enhanced understanding of evolution algebra diversity
Abstract
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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Taxonomy
TopicsAdvanced Topics in Algebra · Photonic and Optical Devices · Algebraic structures and combinatorial models