Trần Nam Trung

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Ấn phẩm

1. 1. Đỗ Trọng Hoàng, Pham My Hanh, Trần Nam Trung, The regularity and unimodality of $h-$polynomial of corona graphs, Journal of Algebra and Its ApplicationsVol. 25, No. 03, 2550343 (2026) (2026)
2. 2. Mai Phuoc Binh, Nguyễn Thu Hằng, Trương Thị Hiền, Trần Nam Trung, Depth stability of cover ideals, Journal of Algebraic Combinatorics, Volume 63, article number 3, (2026) (2026)
3. 3. Lê Xuân Dũng, Trần Nam Trung, Cohen–Macaulay oriented graphs with large girth, Journal of Algebraic Combinatorics, Volume 61, article number 14, (2025) (2025)
4. 4. Hà Minh Lam, Ngô Việt Trung, Trần Nam Trung, A general formula for the index of depth stability of edge ideals, Transactions of the American Mathematical Society 377 (2024), 8633-8657 (2024)
5. 5. Nguyễn Công Minh, Trần Nam Trung, Vũ Quang Thanh, Stable value of depth of symbolic powers of edge ideals of graphs, Pacific Journal of Mathematics Vol. 329 (2024), No. 1, 147–164 (2024)
6. 6. Trương Thị Hiền, Trần Nam Trung, Regularity of symbolic powers of square-free monomial ideals, Arkiv for Matematik, 61 (2023), 99–121 (2023)
7. 7. Trần Nam Trung, Regularity of edge ideals, Bulletin of the Malaysian Mathematical Sciences Society 45 (2022), no. 2, 613–621 (2022)
8. 8. Trần Nam Trung, On Gorenstein graphs, Journal of Algebraic Combinatorics, 54 (2021), pages 673–688, (2021)
9. 9. Trần Nam Trung, Maximal independent sets and regularity of graphs, International Journal of Algebra and Computation, 31 (2021), 807-818, (2021)
10. 10. Hà Huy Tài, Nguyễn Đăng Hợp, Ngô Việt Trung, Trần Nam Trung, Depth functions of powers of homogeneous ideals, Proceedings of the American Mathematical Society, 149 (2021), 1837–1844, (2021)
11. 11. Nguyễn Công Minh, Lưu Bá Thắng, Trần Nam Trung, The number of roots of a polynomial system, Bulletin of the Australian Mathematical Society, 103 (2021), 369 - 378, (2021)
12. 12. Lê Xuân Dũng, Trương Thị Hiền, Nguyễn Đăng Hợp, Trần Nam Trung, Regularity and Koszul property of symbolic powers of monomial ideals, Mathematische Zeitschrift volume 298 (2021), 1487–1522, (2021)
13. 13. Hà Huy Tài, Nguyễn Đăng Hợp, Ngô Việt Trung, Trần Nam Trung, Symbolic powers of sums of ideals, Mathematische Zeitschrift, 294 (2020), pages1499–1520, (2020)
14. 14. Trần Nam Trung, Regularity, matchings and Cameron–Walker graphs, Collectanea Mathematica 71 (2020), 83–91 (2020)
15. 15. Nguyễn Công Minh, Trần Nam Trung, Regularity of symbolic powers and arboricity of matroids, Forum Mathematicum 31 (2019), 465–477 (2019)
16. 16. Đỗ Trọng Hoàng, Trần Nam Trung, Coverings, matchings and the number of maximal independent sets of graphs, Australasian Journal of Combinatorics, 73 (2019), 424-431 (2019)
17. 17. Nguyễn Thu Hằng, Trần Nam Trung, Regularity of powers of cover ideals of unimodular hypergraphs, Journal of Algebra, 513 (2018), 159-176 (2018)
18. 18. Lê Tuấn Hoa, Trần Nam Trung, Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 43 (2018), 67–81 (2018)
19. 19. Đỗ Trọng Hoàng, Trần Nam Trung, Buchsbaumness of the second powers of edge ideals, Journal of Algebra and Its Applications, 67 (2018), 21 pages (2018)
20. 20. Nguyễn Thu Hằng, Trần Nam Trung, The behavior of depth functions of cover ideals of unimodular hypergraphs,, Arkiv för Matematik, 55 (2017), 89-104 (2017)
21. 21. Tạ Thị Hoài An, Hoàng Lê Trường, Nguyễn Tất Thắng, Trần Nam Trung, Thomas Hales, Mark Adams, Gertrud Bauer, Dang Tat Dat, Cezary Kaliszyk, Victor Magron, Sean Mclaughlin, Nguyen Quang Truong, Tobias Nipkow, Steven Obua, Joseph Pleso, Jason Rute, Alexey Solovyev, Alexey Solovyev, Thi Diep Trieu, Josef Urban, Ky Vu, Roland Zumkeller, Forum of Mathematics, Pi, 5 (2017) 29 pages. (2017)
22. 22. Lê Tuấn Hoa, Kyouko Kimura, Naoki Terai, Trần Nam Trung, Stability of depths of symbolic powers of Stanley-Reisner ideals, Journal of Algebra 473 (2017), 307–323 (2017)
23. 23. Trần Nam Trung, Stability of depths of powers of edge ideals, Journal of Algebra 452 (2016), 157–187 (2016)
24. 24. Hà Huy Tài, Ngô Việt Trung, Trần Nam Trung, Depth and regularity of powers of sums of ideals, Mathematische Zeitschrift 282 (2016), 819–838 (2016)
25. 25. Lê Tuấn Hoa, Trần Nam Trung, Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals, Journal of Commutative Algebra, 8 (2016), 77-88 (2016)
26. 26. Đỗ Trọng Hoàng, Trần Nam Trung, A characterization of triangle-free Gorenstein graphs and Cohen–Macaulayness of second powers of edge ideals., Journal of Algebraic Combinatorics, 43 (2016), 325–338 (2016)
27. 27. Selvi Beyarslan, Hà Huy Tài, Trần Nam Trung, Regularity of powers of forests and cycles, Journal of Algebraic Combinatorics, 42 (2015), 1077-1095 (2015)
28. 28. Đỗ Trọng Hoàng, Nguyễn Công Minh, Trần Nam Trung, Cohen–Macaulay graphs with large girth, Journal of Algebra and Its Applications, 14 (2015), 16 pages (2015)
29. 29. Đỗ Trọng Hoàng, Trần Nam Trung, Nguyễn Công Minh, Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals, Journal of Combinatorial Theory, Series A, 120 (2013), 1073 - 1086 (2013)
30. 30. Lê Tuấn Hoa, Trần Nam Trung, Partial Castelnuovo-Mumford regularities reduction number of sums and intersections of monomial ideals, Mathematical Proceedings of the Cambridge Philosophical Society, 149 (2010), 229 -- 246 (2010)
31. 31. Trần Nam Trung, Stability of associated primes of integral closures of monomial ideals, Journal of Combinatorial Theory, Series A, 116 (2009), 44-55. (2009)
32. 32. Trần Nam Trung, Regularity index of Hilbert functions of powers of ideals, Proceedings of the American Mathematical Society, 137 (2009), 2169-2174 (2009)
33. 33. Lê Tuấn Hoa, Trần Nam Trung, Castelnuovo-Mumford regularity of sums of powers of polynomial ideals, Communications in Algebra, 36 (2008), 806 - 820 (2008)

Tiền ấn phẩm

1. 1. Mai Phuoc Binh, Nguyễn Thu Hằng, Trương Thị Hiền, Trần Nam Trung, Depth stability of cover ideals (2023)
2. 2. Trần Nam Trung, Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals, 2021, arXiv:2108.01830. (2021)

Các hoạt động khoa học

Seminar

1. Syzygies of Powers of Homogeneous Ideals
2. Associated primes of powers of edge ideals of edge-weighted trees
3. Edge ideals of oriented weighted graphs
4. Cohen-Macaulay oriented graphs with large girth