4 citations · 8 across the 14 of their papers we have counts for
18 papers
On Leavitt path algebras of Hopf graphs
T. G. Nam, N. T. Phuc
In this paper, we provide the structure of Hopf graphs associated to pairs consisting of groups together with ramification datas and their Le…
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…
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…
Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph -algebras
Gene Abrams, Mikhailo Dokuchaev, T. G. Nam
We show that the endomorphism ring of any nonzero finitely generated projective module over the Leavitt path algebra of an arbitrary graph with coefficients in a field…
Irreducible representation-types of Leavitt path algebras
P. N. Anh, T. G. Nam
Irreducible representations of both Leavitt and Cohn path algebras of an arbitrary digraph with coefficients in a commutative field is classified. They are constructed in several w…
Toward Homological Characterization of Semirings by e-Injective Semimodules
J. Y. Abuhlail, S. N. Il'in, Y. Katsov +1
In this paper, we introduce and study e-injective semimodules, in particular over additively idempotent semirings. We completely characterize semirings all of whose semimodules are…
A criterion for Leavitt path algebras having invariant basis number
T. G. Nam, N. T. Phuc
In this paper, we give a matrix-theoretic criterion for the Leavitt path algebra of a finite graph has Invariant Basis Number. Consequently, we show that the Cohn path algebra of a…
On the homological dimensions of Leavitt path algebras with coefficients in commutative rings
V. Lopatkin, T. G. Nam
In this paper, we give sharp bounds for the homological dimensions of the Leavitt path algebra of a finite graph with coefficients in a commutative ring , as well a…
Leavitt path algebras having Unbounded Generating Number
G. Abrams, T. G. Nam, N. T. Phuc
We present a result of P. Ara which establishes that the Unbounded Generating Number property is a Morita invariant for unital rings. Using this, we give necessary and sufficient c…
Toward Homological Structure Theory of Semimodules: On Semirings All of Whose Cyclic Semimodules Are Projective
S. N. Il'in, Y. Katsov, T. G. Nam
In this paper, we introduce homological structure theory of semirings and CP-semirings---semirings all of whose cyclic semimodules are projective. We completely describe semisimple…
On V-Semirings and Semirings all of whose Cyclic Semimodules are Injective
J. Y. Abuhlail, S. N. Il'in, Y. Katsov +1
In this paper, we introduce and study V- and CI-semirings---semirings all of whose simple and cyclic, respectively, semimodules are injective. We describe V-semirings for some clas…
On Radicals of Semirings and Related Problems
Y. Katsov, T. G. Nam
The aim of this paper is to develop an `external' Kurosh-Amitsur radical theory of semirings and, using this approach, to obtain some fundamental results regarding two Jacobson typ…
On Simpleness of Semirings and Complete Semirings
Yefim Katsov, Tran Giang Nam, Jens Zumbrägel
In this paper, among other results, there are described (complete) simple - simultaneously ideal- and congruence-simple - endomorphism semirings of (complete) idempotent commutativ…