Chains in evolution algebras
Rings and Algebras
2020-08-26 v1
Abstract
In this work we approach three-dimensional evolution algebras from certain constructions performed on two-dimensional algebras. More precisely, we provide four different constructions producing three-dimensional evolution algebras from two-dimensional algebras. Also we introduce two parameters, the annihilator stabilizing index and the socle stabilizing index, which are useful tools in the classification theory of these algebras. Finally, we use moduli sets as a convenient way to describe isomorphism classes of algebras.
Cite
@article{arxiv.2008.11158,
title = {Chains in evolution algebras},
author = {Yolanda Cabrera Casado and Maria Inez Cardoso Gonçalves and Daniel Gonçalves and Dolores Martín Barquero and Cándido Martín González},
journal= {arXiv preprint arXiv:2008.11158},
year = {2020}
}