23 citations · 26 across the 10 of their papers we have counts for
13 papers
On some singular graphs with non-isomorphic associated evolution algebras
Paula Cadavid, Mary Luz Rodiño Montoya, Pablo M. Rodriguez +1
A connected graph can be associated with two distinct evolution algebras. In the first case, the structural matrix is the adjacency matrix of the graph itself. In the second case,…
Hilbert evolution algebras, weighted digraphs, and nilpotency
Paula Cadavid, Pablo M. Rodriguez, Sebastian J. Vidal
Hilbert evolution algebras generalize evolution algebras through a framework of Hilbert spaces. In this work we focus on infinite-dimensional Hilbert evolution algebras and their r…
Characterization of the absorption radical of an evolution algebra using their associated graph
Paula Cadavid, Tiago Reis, Mary Luz Rodiño
In this paper we present a method for finding the absorbing radical of a finite-dimensional evolution algebra. Such a method consists of finding the acyclic vertices of an oriented…
Derivations and loops of some evolution algebras
Yolanda Cabrera Casado, Paula Cadavid, Tiago Reis
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 i…
Hilbert evolution algebras and its connection with discrete-time Markov chains
Sebastian J. Vidal, Paula Cadavid, Pablo M. Rodriguez
Evolution algebras are non-associative algebras. In this work we provide an extension of this class of algebras, in the context of Hilbert spaces, capable to deal with infinite-dim…
Derivations of Evolution Algebras associated to graphs over a field of any characteristic
Tiago Reis, Paula Cadavid
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…