Volterra Evolution Algebras and Their Graphs
Rings and Algebras
2019-04-24 v1 Dynamical Systems
Abstract
In this paper, we introduce Volterra evolution algebras which are evolution algebras whose structural matrices are described by skew symmetric matrices. A main result of the present paper gives a connection between such kind of algebras with ergodicities of Volterra quadratic stochastic operators. Furthermore, some of properties of the considered algebras such as nilpotency, derivations have been studied as well.
Cite
@article{arxiv.1904.10305,
title = {Volterra Evolution Algebras and Their Graphs},
author = {Izzat Qaralleh and Farrukh Mukhamedov},
journal= {arXiv preprint arXiv:1904.10305},
year = {2019}
}
Comments
19 pages