论文标题

某些进化代数的推导和循环

Derivations and loops of some evolution algebras

论文作者

Casado, Yolanda Cabrera, Cadavid, Paula, Reis, Tiago

论文摘要

在这项工作中,我们研究了非分类进化代数的衍生空间。我们改善了最近在文献中获得的一些结果,因此,我们在描述了$ n $二维Volterra Evolution代数的派生中。此外,我们介绍了进化代数的循环概念,并在哪个条件下分析了循环集在哪些条件下是不变的。

In this work we study the space of derivations of non-degenerate evolution algebras. We improve some results obtained recently in the literature and, as a consequence, we advance in the description of the derivations for $n$-dimensional Volterra evolution algebras. In addition, we introduce the notion of loop of an evolution algebra and we analyze under which conditions the set of loops is invariant under change of basis.

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