Derivations of Evolution Algebras associated to graphs over a field of any characteristic

TL;DR

This paper extends the understanding of derivations in evolution algebras associated with graphs from characteristic zero fields to fields of any characteristic, broadening the algebraic theory's applicability.

Contribution

It generalizes the existing characterization of derivations of evolution algebras associated to graphs to include fields of arbitrary characteristic.

Findings

Complete characterization of derivations over fields of any characteristic

Extension of previous results from characteristic zero to general fields

Broader applicability of algebraic derivation theory

Abstract

The space of derivations of finite dimensional evolution algebras associated to graphs over a field with characteristic zero has been completely characterized in the literature. In this work we generalize that characterization by describing the derivations of this class of algebras for fields of any characteristic.