5 papers · 1 filter
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…
On the characterization of the space of derivations in evolution algebras
Yolanda Cabrera Casado, Paula Cadavid, Mary Luz Rodiño Montoya +1
We study the space of derivations for some finite-dimensional evolution algebras, depending on the twin partition of an associated directed graph. For evolution algebras with a twi…
Characterization theorems for the spaces of derivations of evolution algebras associated to graphs
Paula Cadavid, Mary Luz Rodiño Montoya, Pablo M. Rodriguez
It is well-known that the space of derivations of -dimensional evolution algebras with non-singular matrices is zero. On the other hand, the space of derivations of evolution al…