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math.RA2020
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…
math.RA2019
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…
math.RA2018
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…