11 citations · 19 across the 10 of their papers we have counts for
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When twist of a Leavitt path algebra is again a Leavitt path algebra
Tran Giang Nam, Ashish K Srivastava
In this paper, we study Zhang twist of Leavitt path algebra using a graded automorphism induced by a graph automorphism such that the twisted algebra is a Leavitt path…
The Reduction Theorem for Leavitt Labelled Path Algebras and Its Applications
Daniel Gonçalves, Nguyen Dinh Nam, Tran Giang Nam
We introduce a notion of labelled cycle for normal labelled spaces and prove a reduction theorem for Leavitt labelled path algebras. We show that every nonzero element can be reduc…
On structural connections between sandpile monoids and weighted Leavitt path algebras
Roozbeh Hazrat, Tran Giang Nam
In this article, we establish the relations between a sandpile graph, its sandpile monoid and the weighted Leavitt path algebra associated with it. Namely, we show that the lattice…
Unital algebras being Morita equivalent to weighted Leavitt path algebras
Roozbeh Hazrat, Tran Giang Nam
In this article, we describe the endomorphism ring of a finitely generated progenerator module of a weighted Leavitt path algebra of a finite vertex weighted graph $(…
Automorphisms of Leavitt path algebras: Zhang twist and irreducible representations
Tran Giang Nam, Ashish K. Srivastava, Nguyen Thi Vien
In this article, we construct (graded) automorphisms fixing all vertices of Leavitt path algebras of arbitrary graphs in terms of general linear groups over corners of these algebr…
Products of commutator ideals of some Lie-admissible algebras
Ivan Kaygorodov, Farukh Mashurov, Tran Giang Nam +1
In this article, we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras, bicommutative algebras, and assosymmetric algebras. More pre…
Congruence-simplicity of Steinberg algebras of non-Hausdorff ample groupoids over semifields
Tran Giang Nam, Jens Zumbrägel
We investigate the algebra of an ample groupoid, introduced by Steinberg, over a semifield S. In particular, we obtain a complete characterization of congruence-simpleness for Stei…
Corners of Leavitt path algebras of finite graphs are Leavitt path algebras
Gene Abrams, T. G. Nam
We achieve an extremely useful description (up to isomorphism) of the Leavitt path algebra of a finite graph with coefficients in a field as a direct sum of matrix…
On congruence-semisimple semirings and the -group characterization of ultramatricial algebras over semifields
Yefim Katsov, Tran Giang Nam, Jens Zumbrägel
In this paper, we provide a complete description of congruence-semisimple semirings and introduce the pre-ordered abelian Grothendieck groups and of the isomorph…
Simpleness of Leavitt Path Algebras with Coefficients in a Commutative Semiring
Yefim Katsov, Tran Giang Nam, Jens Zumbrägel
In this paper, we study ideal- and congruence-simpleness for the Leavitt path algebras of directed graphs with coefficients in a commutative semiring S, as well as establish some f…