activity
20172021
most citedDetermining when an algebra is an evolution algebra

14 citations · 16 across the 3 of their papers we have counts for

collaborators

5 papers

math.RA202114 cited

Determining when an algebra is an evolution algebra

Miguel D. Bustamante, Pauline Mellon, M. Victoria Velasco

Evolution algebras are non-associative algebras that describe non-Mendelian hereditary processes and have connections with many other areas. In this paper we obtain necessary and s…

math.OC2019

Solving the problem of simultaneous diagonalization of complex symmetric matrices via congruence

Miguel D. Bustamante, Pauline Mellon, M. Victoria Velasco

We provide a solution to the problem of simultaneous of a given set of complex symmetric matrices , by…

math.DS2018

A discrete-time dynamical system and an evolution algebra of mosquito population

U. A. Rozikov, M. V. Velasco

Recently, continuous-time dynamical systems, based on systems of ordinary differential equations, for mosquito populations are studied. In this paper we consider discrete-time dyna…

math.RA2017

A class of nilpotent evolution algebras

B. A. Omirov, U. A. Rozikov, M. V. Velasco

Recently, by A. Elduque and A. Labra a new technique and a type of an evolution algebra are introduced. Several nilpotent evolution algebras defined in terms of bilinear forms and…

math.RA20172 cited

Description of three-dimensional evolution algebras

Yolanda Cabrera Casado, Mercedes Siles Molina, M. Victoria Velasco

We classify three dimensional evolution algebras over a field having characteristic different from 2 and in which there are roots of orders 2, 3 and 7.