Associate professor Dr. Tran Giang Nam

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Scientific CV

Scientific Publications

Publications35

1. 1 Nguyen Dinh Nam, Tran Giang Nam, On stable rank of ultragraph Leavitt path algebras, Communications in Algebra 54 (2026), 1519-1535 (2026)
2. 2 Roozbeh Hazrat, Tran Giang Nam, Unital algebras being Morita equivalent to weighted Leavitt path algebras, Journal of Algebraic Combinatorics 62 (2025), no. 2, 28, (2025)
3. 3 Romar B. Dinoy, Tran Giang Nam, Jocelyn P. Vilela, Embedding matrix algebras into ultragraph Leavitt path algebras and applications, Linear Algebra and its Applications, 726 (2025), 216-243 (2025)
4. 4 Tran Giang Nam, Exel's Effros-Hahn conjecture for Steinberg algebras over additively idempotent semifields, Semigroup Forum 110 (2025), 384 - 404 (2025)
5. 5 R. Hazrat, Tran Giang Nam, On structural connections between sandpile monoids and weighted Leavitt path algebras, Journal of Algebra 678 (2025), 543-569 (2025)
6. 6 Ivan Kaygorodov, Farukh Mashurov, Tran Giang Nam, Ze Rui Zhang, Products of commutator ideals of some Lie-admissile algebras, Acta Mathematica Sinica, English Series, 40 (2024), 1875 - 1892 (2024)
7. 7 Tran Giang Nam, Nguyen Thi Vien, Ashish K. Srivastava, Automorphisms of Leavitt path algebras: Zhang twist and irreducible representations, Journal of Algebra 654 (2024), 189-234 (2024)
8. 8 T. T. H. Duyen, D. Goncalves, Tran Giang Nam, On the ideals of ultragraph Leavitt path algebras, Algebras and Representation Theory 27 (2024), 77-113 (2024)
9. 9 Tran Giang Nam, Ngo Tan Phuc, On Leavitt path algebras of Hopf graphs, Acta Mathematica Vietnamica 48 (2023), 533-549 (2023)
10. 10 Shigeru Kuroda, Tran Giang Nam, Anick type automorphisms and new irreducible representations of Leavitt path algebras, Journal of Noncommutative Geometry 17 (2023), 811-834 (2023)
11. 11 Nguyen Dinh Nam, Tran Giang Nam, On ultragraph Leavitt path algebras with finite Gelfand-Kirillov dimension, Communications in Algebra 51 (2023) 3671-3693 (2023)
12. 12 R. Hazrat, Tran Giang Nam, Realizing ultragraph Leavitt path algebras as Steinberg algebras, Journal of Pure and Applied Algebra 227 (2023) 107275 (2023)
13. 13 Tran Giang Nam, Jens Zumbragel, Congruence-simplicity of Steinberg algebras of non-Hausdorff ample groupoids over semifileds, Journal of Pure and Applied Algebra, 227 (2023) 107207 (2023)
14. 14 Tran Giang Nam, Ze Rui Zhang, Lie solvable Leavitt path algebras, Journal of Algebra and Its Applications, Vol. 21, No. 10 (2022) 2250203 (12 pages) (2022)
15. 15 Tran Giang Nam, Simple Lie algebras arising from Steinberg algebras of Hausdorff ample groupoids, Journal of Algebra 595 (2022), 194 - 215 (2022)
16. 16 Gene Abrams, M. Dokuchaev, Tran Giang Nam, Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph C*-algebras, Journal of Algebra 593 (2022), 72 - 104 (2022)
17. 17 Tran Giang Nam, Nguyen Dinh Nam, Purely infinite simple ultragraph Leavitt path algebras, Mediterranean Journal of Mathematics 19: 7 (2022 (2022)
18. 18 Pham Ngoc Anh, Tran Giang Nam, Special irreducible representations of Leavitt path algebras, Advances in Mathematics Volume 377, 22 2021, 107483, (2021)
19. 19 Tran Giang Nam, On Steinberg algebras of Hausdorff ample groupoids over commutatitive semirings, Journal of Pure and Applied Algebra 225 (2021), 10654, (2021)
20. 20 Antonio Di Nola, Giacomo Lenzi, Tran Giang Nam, Ultramatricial algebras over commutative chain semirings and application to MV-algebras, Forum Mathematicum 32 (2020), 287-305 (2020)
21. 21 Gene Abrams, Tran Giang Nam, Corners of Leavitt path algebras of finite graphs are Leavitt path algebras, Journal of Algebra 547 (2020), 494--518 (2020)
22. 22 Antonio Di Nola, Giacomo Lenzi, Tran Giang Nam, S. Vannucci, On injectivity of semimodules over additively idempotent division semirings and chain MV-semirings, Journal of Algebra, 538 (2019), 81 - 109 (2019)
23. 23 Tran Giang Nam, Ngo Tan Phuc, The structure of Leavitt path algebras and the invariant basis number property, Journal of Pure and Applied Algebra 223 (2019), 4827-4856 (2019)
24. 24 Tran Giang Nam, A Characterization of Gorenstein Planar Graphs, Adv. Stud. Pure Math, 77, Math. Soc. Japan, 2018. (2018)
25. 25 Yefim Katsov, Tran Giang Nam, On congruence-semisimple semirings and $K_{0}$-group characterization of ultramatricial algebra over semifield, Journal of Algebra 508 (2018), 157-195 (2018)
26. 26 J. Y. Abuhlail, S. N. Il'in, Yefim Katsov, Tran Giang Nam, Toward homological characterization of semirings by e-injective semimodules, Journal of Algebra and Its Applications, 16 (2018) 1850059 (24 papes) (2018)
27. 27 Yefim Katsov, Tran Giang Nam, Jens Zumbragel , Simpleness of Leavitt path algebras with coefficients in a commutative semirings, Semigroup Forum, 94 (2017), 481-499 (2017)
28. 28 Viktor Lopatkin, Tran Giang Nam, On the homological dimensions of Leavitt path algebras with coefficients in commutative rings, Journal of Algebra, 481 (2017), 273 - 292 (2017)
29. 29 S.N. Il'in, Yefim Katsov, Tran Giang Nam, Toward homological structure theory of semimodules: On semirings all of whose cyclic semimodules are projective, Journal of Algebra 476 (2017), 238 - 266 (2017)
30. 30 Gene Abrams, Tran Giang Nam, Ngo Tan Phuc, Leavitt path algebras having unbounded generating number, Journal of Pure and Applied Algebra, 221 (2017), 1322 - 1343 (2017)
31. 31 Marianne Johnson, Tran Giang Nam, P-injective semirings, semigroup rings and Leavitt path algebras, Communications in Algebra, 45 (2017), 1893 - 1906 (2017)
32. 32 J. Y. Abuhlail, Yefim Katsov, S. N. Il'in, Tran Giang Nam, On V-Semirings and Semirings all of whose Cyclic Semimodules are Injective, Communications in Algebra, Volume 43, 2015, 4632 - 4654 (2015)
33. 33 Yefim Katsov, Tran Giang Nam, On radicals of semirings and related problems, Communications in Algebra, Volume 42, 2014, 5065-5099 (2014)
34. 34 Yefim Katsov, Tran Giang Nam, Jens Zumbragel, On simpleness of semirings and complete semirings, Journal of Algebra and Its Applications, Vol. 13 (2014) (2014)
35. 35 Yefim Katsov, Tran Giang Nam, Morita equivalence and homological characterization of semirings, Journal of Algebra and Its Applications, 10 (2011), 445 – 473 (2011)

Preprints13

1. 1 Tran Giang Nam, Ashish K. Srivastava, When twist of a Leavitt path algebra is again a Leavitt path algebra, arXiv:2609.24936 (2026)
2. 2 Tran Quang Do, Roozbeh Hazrat, Tran Giang Nam, Williams' conjecture holds for graphs of Gelfand-Kirillov dimension three, arXiv:2504.11342. (2026)
3. 3 Boris Bilich, Roozbeh Hazrat, Tran Giang Nam, Embedding K-algebras into Leavitt algebra $L_K(1,2)$, arXiv:2512.09241. (2026)
4. 4 Daniel Gonçalves, Nguyen Dinh Nam, Tran Giang Nam, The Reduction Theorem for Leavitt Labelled Path Algebras and Its Applications, arXiv:2606.14496 (2026)
5. 5 Remarl Joseph Damalerio, Roozbeh Hazrat, Tran Giang Nam, The graded Grothendieck group $K^{gr}_0$ is full for weighted Leavitt path algebras, arXiv:2606.15075 (2026)
6. 6 Pere Ara, Tran Giang Nam, Tran Quang Do, Dynamics on graphs with disjoint cycles and applications, arXiv:2608.00587 (2026)
7. 7 Promit Mukherjee, Tran Giang Nam, Sujit Kumar Sardar, Graded congruences on Leavitt path algebras over the Boolean semifield and applications, Journal of Algebra and Its Applications, https://doi.org/10.1142/S021949882643005X (2026)
8. 8 Promit Mukherjee, Tran Giang Nam, Sujit Kumar Sardar, Graded Bridgeman dilogarithm identities on hyperbolic surfaces, arXiv:2601.03876. Submitted (2026)
9. 9 Ivan Kaygorodov, Farukh Mashurov, Tran Giang Nam, Ze Rui Zhang, Products of commutator ideals of some Lie-admissile algebras, Accepted in Acta Mathematica Sinica, English Series, preprint arXiv (2023)
10. 10 Tran Giang Nam, Ngo Tan Phuc, On Leavitt path algebras of Hopf graphs, Accepted in Acta Mathematica Vietnamica, preprint arXiv (2023)
11. 11 T. T. H. Duyen, D. Goncalves, Tran Giang Nam, On the ideals of ultragraph Leavitt path algebras, Algebras and Representation Theory (2023)
12. 12 Download, Tran Giang Nam, Purely infinite simple ultragraph Leavitt path algebras, to appear in Mediterranean Journal of Mathematics arXiv:2007.08144. (2020)
13. 13 Tran Giang Nam, Special irreducible representations of Leavitt path algebras, to appear in Advances in Mathematics. (2020)

Scientific Activities

Seminar2

1. Embedding algebras into the Leavitt algebra of module type (1, 2).
2. Sandpile monoids and weighted Leavitt path algebras