English

Set of evolution operators of an evolution algebra

Rings and Algebras 2023-01-23 v1

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.

Cite

@article{arxiv.2301.08480,
  title  = {Set of evolution operators of an evolution algebra},
  author = {Desamparados Fernández-Ternero and Víctor M. Gómez-Sousa and Juan Núñez-Valdés},
  journal= {arXiv preprint arXiv:2301.08480},
  year   = {2023}
}
R2 v1 2026-06-28T08:16:02.536Z