14 citations · 32 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
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…
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.
Evolution algebras of arbitrary dimension and their decompositions
Yolanda Cabrera Casado, Mercedes Siles Molina, M. Victoria Velasco
We study evolution algebras of arbitrary dimension. We analyze in deep the notions of evolution subalgebras, ideals and non-degeneracy and describe the ideals generated by one elem…
Reducing essential eigenvalues in the boundary of the numerical range
Norberto Salinas, Maria Victoria Velasco
We examine a purely geometric property of a point in the boundary of the numerical range of a (Hilbert space) operator that implies that such a point is a reducing essential eigenv…