Set of evolution operators of an evolution algebra

TL;DR

This paper investigates the set of evolution operators in evolution algebras, exploring their properties, differences between trivial and non-trivial sets, and providing examples to illustrate these concepts.

Contribution

It introduces the concept of the set of evolution operators in evolution algebras and analyzes their properties and distinctions from trivial cases.

Findings

Identifies conditions for trivial and non-trivial sets of evolution operators

Provides examples illustrating the concepts and differences

Studies properties of the set of evolution operators

Abstract

An automorphism defined on an evolution algebra can provide both a finite number and an infinite number of evolution operators on it. This question is dealt with in the paper, as well as others more related to the evolution operators of evolution algebras. After defining the concept of the set of evolution operators of an evolution algebra, differences between trivial and non-trivial sets of evolution operators are also covered. Some properties of these concepts are studied and several examples of the above issues are shown.