Further results on modularity in evolution algebras

TL;DR

This paper provides a comprehensive characterization of modularity in evolution algebras, focusing on nilpotent and supersolvable regular cases, advancing understanding in algebraic evolutionary models.

Contribution

It offers a complete description of modular evolution algebras in specific classes, filling gaps in previous partial analyses.

Findings

Full characterization of modular nilpotent evolution algebras.

Complete description of modular supersolvable regular evolution algebras.

Advances understanding of algebraic structures in evolutionary contexts.

Abstract

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 natural settings. In particular, we obtain a full characterisation of modular evolution algebras in the nilpotent case and in the class of supersolvable regular evolution algebras.