4 papers
Leavitt Path Algebra over Kronecker Square of Quivers and Cross product algebra
Jehan Alarfaj, Dolores MartÃn Barquero, Ashish K. Srivastava
In this paper, we initiate the study of Leavitt path algebra over Kronecker square of a quiver and show the similarities and contrasts in the properties of Leavitt path algebra ove…
Algebraic characterisations of path algebras
Dolores MartÃn Barquero, Cándido MartÃn González, Iván Ruiz Campos
The theory of path algebras is usually circunscripted to the study of representations, usually linked to finite graphs. In our work, we focus on studying the structure of path alge…
Solenoids in automorphism groups of evolution algebras
Yolanda Cabrera Casado, Maria Inez Cardoso Gonçalves, Daniel Gonçalves +3
Let A be an evolution algebra (possibly infinite-dimensional) equipped with a fixed natural basis B, and let E be the associated graph defined by Elduque and Labra. We describe the…
On the socle of a class of Steinberg algebras
Lisa Orloff Clark, Cristóbal Gil Canto, Dolores MartÃn Barquero +2
We study minimal left ideals in Steinberg algebras of Hausdorff groupoids. We establish a relationship between minimal left ideals in the algebra and open singletons in the unit sp…