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math.RA2023
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…
math.RA2023
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…