4 citations · 4 across the 5 of their papers we have counts for
12 papers
On the ideals of ultragraph Leavitt path algebras
T. T. H. Duyen, D. ~Gonçalves, T. G. Nam
In this article, we provide an explicit description of a set of generators for any ideal of an ultragraph Leavitt path algebra. We provide several additional consequences of this d…
Anick type automorphisms and new irreducible representations of Leavitt path algebras
Shigeru Kuroda, Tran Giang Nam
In this article, we give a new class of automorphisms of Leavitt path algebras of arbitrary graphs. Consequently, we obtain Anick type automorphisms of these Leavitt path algebras…
Lie nilpotent Novikov algebras and Lie solvable Leavitt path algebras
Zerui Zhang, Tran Giang Nam
In this paper, we first study properties of the lower central chains for Novikov algebras. Then we show that for every Lie nilpotent Novikov algebra~, the ideal of~$\m…
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…
Purely infinite simple ultragraph Leavitt path algebras
Tran Giang Nam, Nguyen Dinh Nam
In this article, we give necessary and sufficient conditions under which the Leavitt path algebra of an ultragraph over a field is purely infin…
Simple Lie algebras arising from Steinberg algebras of Hausdorff ample groupoids
Tran Giang Nam
In this paper, we show that a unital simple Steinberg algebra is central, and a nonunital simple Steinberg algebra has zero center. We identify the fields and Hausdorff ample g…