This paper deals with the concept of hierarchy of algebras and graphs. In the case of algebras, the work constitutes a generalization to any algebra of the concept of hierarchy that Tian gave for a particular type of them, evolution algebras, via concepts of occurrence and persistence. This new hierarchy proves to be invariant under isomorphism of algebras, which leads to a necessary condition for two generic algebras to be isomorphic. Furthermore, the task of how to effectively obtain the hierarchy of an algebra is also discussed, arriving to the association of a certain type of graphs to generic algebras, which leads us to introduce new concepts, based in hierarchy, in graph theory.

本文讨论代数和图的层次概念。在代数的情况下，该工作构成了田代为其特定类型的进化代数通过出现和持久性概念给出的任何层次概念的泛化。在代数的同构下，这种新的层次被证明是不变的，这导致两个泛型代数成为同构的必要条件。此外，还讨论了如何有效获取代数层次的任务，从而实现了某种类型的图与通用代数的关联，这使我们在图论中引入了基于层次的新概念。