New Properties for Markov Evolution Algebras

Evolution algebras are a class of non-associative algebras that arise as a mathematical model to represent non-Mendelian genetics. They have sparked great interest in various fields of knowledge such as graph theory, dynamical systems, and Markov chains. The concept was first introduced by Tian and Vojtěchovský (2006) in the article "Mathematical Concepts of Evolution Algebras in non-Mendelian Genetics", in a finite-dimensional approach, and later extended by Tian (2008) in his doctoral thesis book ``Evolution Algebras and Their Applications''.