7 citations · 16 across the 17 of their papers we have counts for
24 papers
Natural families in evolution algebras
Nadia Boudi, Yolanda Cabrera Casado, Mercedes Siles Molina
In this paper we introduce the notion of evolution rank and give a decomposition of an evolution algebra into its annihilator plus extending evolution subspaces having evolution ra…
On the centroid of a Leavitt path algebra
Daniel Gonçalves, Dolores Martín Barquero, Cándido Martín González +1
We describe the centroid of some Leavitt path algebras. More precisely, we show that for Leavitt path algebras over a field that are simple its centroid is isomorphic to , a…
Largest ideals in Leavitt path algebras
Vural Cam, Cristóbal Gil Canto, Müge Kanuni +1
We identify largest ideals in Leavitt path algebras: the largest locally left/right artinian (which is the largest semisimple one), the largest locally left/right noetherian withou…
Squares and associative representations of two dimensional evolution algebras
Maria Inez Cardoso Gonçalves, Daniel Gonçalves, Dolores Martín Barquero +2
We associate an square to any two dimensional evolution algebra. This geometric object is uniquely determined, does not depend on the basis and describes the structure and the beha…
Classification of four dimensional perfect non-simple evolution algebras
Yolanda Cabrera Casado, Muge Kanuni, Mercedes Siles Molina
We classify the four dimensional perfect non-simple evolution algebras over a field having characteristic different from 2 and in which there are roots of orders 2, 3 and 7.
Classification of Leavitt path algebras with two vertices
Müge Kanuni, Dolores Martín Barquero, Cándido Martín González +1
We classify row-finite Leavitt path algebras associated to graphs with no more than two vertices. For the discussion we use the following invariants: decomposability, the gro…