4 citations · 4 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
On Steinberg algebras of Hausdorff ample groupoids over commutative semirings
Tran Giang Nam, Jens Zumbrägel
We investigate the algebra of a Hausdorff ample groupoid, introduced by Steinberg, over a commutative semiring S. In particular, we obtain a complete characterization of congruence…