47 citations · 169 across the 62 of their papers we have counts for
5 papers · 1 filter
Realizing ultragraph Leavitt path algebras as Steinberg algebras
R. Hazrat, T. G. Nam
In this article, we realize ultragraph Leavitt path algebras as Steinberg algebras. This realization allows us to use the groupoid approach to obtain structural results about these…
Graded Semigroups
Roozbeh Hazrat, Zachary Mesyan
We systematically develop a theory of graded semigroups, that is semigroups S partitioned by groups G, in a manner compatible with the multiplication on S. We define a smash produc…
Comparability in the graph monoid
Roozbeh Hazrat, Lia Vas
Let be the infinite cyclic group on a generator To avoid confusion when working with -modules which also have an additional -action, we consider the…
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.…
Crossed product Leavitt path algebras
Roozbeh Hazrat, Lia Vas
If is a directed graph and is a field, the Leavitt path algebra of over is naturally graded by the group of integers We formulate properties o…