4 papers · 1 filter
Properties of the -Monoid of Weighted Leavitt Path Algebras
Rishabh Goswami, Alfilgen Sebandal
For a row-finite weighted graph , Preusser showed that the monoid of finitely generated projective modules over the weighted Leavitt path algebra $L_…
The algebraic entropies of the Leavitt path algebra and the graph algebras agree
Wolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero +3
In this note we prove that the algebras and have the same entropy. Entropy is always referred to the standard filtrations in the corresponding kind of algebra. The ma…
A Talented Monoid View on Lie Bracket Algebras over Leavitt Path Algebras
Wolfgang Bock, Alfilgen Sebandal, Jocelyn Viliela
In this article, we study properties as simplicity, solvability and nilpotency for Lie bracket algebras arising from Leavitt path algebras, based on the talented monoid of the unde…
Graphs with disjoint cycles, classification via the talented monoid
Roozbeh Hazrat, Alfilgen N. Sebandal, Jocelyn P. Vilela
We characterise directed graphs consisting of disjoint cycles via their talented monoids. We show that a graph consists of disjoint cycles precisely when its talented monoid $T…