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math.RA2024
Hopf algebras and associative representations of two-dimensional evolution algebras
Yolanda Cabrera Casado, MarÃa Inez Cardoso Gonçalves, Daniel Gonçalves +3
In this paper, we establish a connection between evolution algebras of dimension two and Hopf algebras, via the algebraic group of automorphisms of an evolution algebra. Initially,…
math.RA2024
Centroid and algebraic properties of evolution algebras through graphs
Yolanda Cabrera Casado, Maria Inez Cardoso Gonçalves, Daniel Gonçalves +3
The leitmotiv of this paper is linking algebraic properties of an evolution algebra with combinatorial properties of the (possibly several) graphs that one can associate to the alg…