论文标题

进化代数的链

Chains in evolution algebras

论文作者

Casado, Yolanda Cabrera, Gonçalves, Maria Inez Cardoso, Gonçalves, Daniel, Barquero, Dolores Martín, González, Cándido Martín

论文摘要

在这项工作中,我们从对二维代数进行的某些构造中接近三维进化代数。更确切地说,我们提供了四种不同的构造,从二维代数产生三维进化代数。另外,我们介绍了两个参数:歼灭者稳定指数和Socle稳定指数,它们是这些代数分类理论中有用的工具。最后,我们使用模量集作为描述代数的同构类别的便捷方法。

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.

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