3 papers
math.RT2024
Morita theory of finite representations of Leavitt path algebras
Wolfgang Bock, Roozbeh Hazrat, Alfilgen Sebandal
The Graded Classification Conjecture states that for finite directed graphs and , the associated Leavitt path algebras $L_\K(E)$ and $L_\K(F)$ are graded Morita equivalent,…
math.RA2022
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…
math.RA2021
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…