3 papers · 1 filter
The uniform dimension of a monoid with applications to graph algebras
Luiz Gustavo Cordeiro, Daniel Gonçalves, Roozbeh Hazrat
We adapt Goldie's concept of uniform dimensions from module theory over rings to -monoids. A -monoid is said to have uniform dimension if is the largest number…
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,…
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…