On formal deformations and degenerations of evolution algebras
Rings and Algebras
2025-12-09 v1
Abstract
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 degenerations in this setting and provide Hasse diagrams that describe the degeneration relations among nilpotent evolution algebras of dimensions up to four.
Keywords
Cite
@article{arxiv.2512.07002,
title = {On formal deformations and degenerations of evolution algebras},
author = {Abdenacer Makhlouf and Andrés Pérez-Rodríguez},
journal= {arXiv preprint arXiv:2512.07002},
year = {2025}
}
Comments
30 pages