[HTML][HTML] A historical perspective of Tian's evolution algebras

M Ceballos, RM Falcón, J Núñez-Valdés… - Expositiones …, 2022 - Elsevier
Even if it has been less than a decade and a half since Tian introduced his concept of
evolution algebras to represent algebraically non-Mendelian rules in Genetics, their study is …

Derivations and loops of some evolution algebras

Y Cabrera Casado, P Cadavid, T Reis - Revista de la Real Academia de …, 2023 - Springer
In this work we study the space of derivations of non-degenerate evolution algebras. We
improve some results obtained recently in the literature and, as a consequence, we advance …

On the characterization of the space of derivations in evolution algebras

Y Cabrera Casado, P Cadavid… - Annali di Matematica …, 2021 - Springer
We study the space of derivations for some finite-dimensional evolution algebras,
depending on the twin partition of an associated directed graph. For evolution algebras with …

Derivations of evolution algebras associated to graphs over a field of any characteristic

T Reis, P Cadavid - Linear and Multilinear Algebra, 2022 - Taylor & Francis
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 …

Using the evolution operator to classify evolution algebras

D Fernández-Ternero, VM Gómez-Sousa… - Mathematical and …, 2021 - mdpi.com
Evolution algebras are currently widely studied due to their importance not only “per se” but
also for their many applications to different scientific disciplines, such as Physics or …

Properties of nilpotent evolution algebras with no maximal nilindex

A Alarfeen, I Qaralleh, A Ahmad - European Journal of Pure and Applied …, 2021 - ejpam.com
As a system of abstract algebra, evolution algebras are commutative and non-associative
algebras. There is no deep structure theorem for general non-associative algebras …

Derivations and loops of some evolution algebras

YC Casado, P Cadavid, T Reis - arXiv preprint arXiv:2203.13657, 2022 - arxiv.org
In this work we study the space of derivations of non-degenerate evolution algebras. We
improve some results obtained recently in the literature and, as a consequence, we advance …

Theoretical aspects and applications of the evolution operator of evolution algebras

VM Gómez Sousa - 2024 - idus.us.es
The present manuscript deals with different aspects of the theory of evolution algebras, all of
them related to the evolution operator. The distribution of the manuscript is detailed below. In …

A Characterization of Associative Evolution Algebras

DF Ternero, VMG Sousa… - Contemporary …, 2023 - ojs.wiserpub.com
Evolution algebras are non-associative in general, that is, the binary multiplication law is not
associative. However, there exist some of them that are associative. In this paper we deal …

Dealing with the Resolubility of Evolution Algebras

D Fernández-Ternero, VM Gómez-Sousa… - … in Computer Science, 2022 - Springer
Although since their introduction by Tian in 2004, evolution algebras have been the subject
of a very deep study in the last years due to their numerous applications to other disciplines …