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Date Published: 10/10/2017
Online Published: 28/06/2023
Abstract Views: 11
Views PDF: 14
DOI: https://doi.org/10.52714/dthu.28.10.2017.511
Issue
No. 28 (2017): Part B - Natural Sciences
Section
Natural Sciences Issue
How to Cite
Nguyen, H. T., & Ngo, T. P. (2023). Investigating the ugn property of the leavitt path algebra on the power graph. Dong Thap University Journal of Science, 28, 61-64. https://doi.org/10.52714/dthu.28.10.2017.511

Investigating the ugn property of the leavitt path algebra on the power graph

Huu Tinh Nguyen1, Tan Phuc Ngo2,
1 Student, Dong Thap University
2 Dong Thap University

Main Article Content

Abstract

In this paper, we investigate the power graph of the integers modulo group. Next, basing on the current results of the Leavitt path algebras, mainly on [1], we analyze the UGN property of the Leavitt path algebras on these graphs.

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Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Keywords

Leavitt path algebra, Power graph, UGN property

References

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[2]. G. Abrams and G. Aranda Pino (2005), “The Leavitt path algebra of a graph”, J. Algebra, (293), p. 319-334.
[3]. P. Ara, A. Moreno and E. Pardo (2007), “NonstableK-theory for graph algebras”, Algebra Represent Theory, (10), p. 157-178.
[4]. A. Haghany and K. Varadarajan (2002), “IBN and related properties for rings”, Acta Math. Hungar, ( 94), p. 251 - 261.
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[6]. T. Y. Lam (1999), Lectures on modules và rings, Springer - Verlag, New York - Berlin.
[7]. W. G. Leavitt (1962), “The module type of a ring”, Trans. Amer. Math. Soc, (42), p. 113-130.