3 papers
math.RA2026
Further results on modularity in evolution algebras
Manuel Ladra, Andrés Pérez-RodrÃguez
In this paper, we study modularity in the context of evolution algebras. Although this property has been previously considered, a complete description is still missing in several n…
math.RA2025
A note on complete evolution algebras
Xabier GarcÃa-MartÃnez, Andrés Pérez-RodrÃguez
This short note provides positive answers to two conjectures of Camacho, Khudoyberdiyev, and Omirov on the classification of complete evolution algebras. Our approach is based on a…
math.RA2025
On formal deformations and degenerations of evolution algebras
Abdenacer Makhlouf, Andrés Pérez-RodrÃguez
The main purpose of this paper is to study formal deformations of evolution algebras, determining their existence and classifying them up to equivalence. In addition, we examine de…