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math.RA2020
A note on the regular ideals of Leavitt path algebras
Daniel Gonçalves, Danilo Royer
We show that, for an arbitrary graph, a regular ideal of the associated Leavitt path algebra is also graded. As a consequence, for a row-finite graph, we obtain that the quotient o…
math.RA2020
The talented monoid of a directed graph with applications to graph algebras
Luiz Gustavo Cordeiro, Daniel Gonçalves, Roozbeh Hazrat
It is a conjecture that for the class of Leavitt path algebras associated to finite directed graphs, their graded Grothendieck groups are a complete invariant.…