Ngo Viet Trung

Scientific CV

Scientific Publications

Publications

1. 1. Le Tuan Hoa, Ngo Viet Trung, Nguyen Dang Hop, Saturation degree of powers of graded ideals, Journal of Pure and Applied Algebra, Volume 230, Issue 10 (2026), Article: 108392 (2026)
2. 2. Ha Minh Lam, Ngo Viet Trung, Tran 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)
3. 3. Ha Thi Thu Hien, Ha Minh Lam, Ngo Viet Trung, Decreasing behavior of the depth functions of edge ideals, Journal of Algebraic Combinatorics, Volume 59 (2024), pages 37–53 (2024)
4. 4. Pham Hung Quy, Ngo Viet Trung, When does a perturbation of the equations preserve the normal cone?, Transactions of the American Mathematical Society, 376 (2023), no. 7, 4957-4978 (2023)
5. 5. Tran Thi Gia Lam, Ngo Viet Trung, Buchsbaumness and Castelnuovo-Mumford regularity of non-smooth monomial curves, Journal of Algebra, Volume 590, (2022), Pages 313-33 (2022)
6. 6. Ha Huy Tai, Nguyen Dang Hop, Ngo Viet Trung, Tran Nam Trung, Depth functions of powers of homogeneous ideals, Proceedings of the American Mathematical Society, 149 (2021), 1837–1844, (2021)
7. 7. Ha Huy Tai, Nguyen Dang Hop, Ngo Viet Trung, Tran Nam Trung, Symbolic powers of sums of ideals, Mathematische Zeitschrift, 294 (2020), pages1499–1520, (2020)
8. 8. Nguyen Dang Hop, Ngo Viet Trung, Depth functions of symbolic powers of homogeneous ideals, Inventiones mathematicae, 218 (2019), 779–827 (2019)
9. 9. Ha Minh Lam, Ngo Viet Trung, Associated primes of powers of edge ideals and ear decompositions of graphs, Transactions of the American Mathematical Society 372 (2019), 3211-3236 (2019)
10. 10. Giulio Cavigli, Ha Huy Tai, Jürgen Herzog, Manoj Kummini, Naoki Terai, Ngo Viet Trung, Depth and regularity modulo a principal ideal, Journal of Algebraic Combinatorics 49 (2019), no. 1, 1–20 (2019)
11. 11. Ha Huy Tai, Ngo Viet Trung, Membership Criteria and Containments of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 44 (2019), pp 117–139 (2019)
12. 12. Maria Evelina Rossi, Dinh Thanh Trung, Ngo Viet Trung, Castelnuovo-Mumford regularity and Ratliff-Rush closure, Journal of Algebra 504 (2018), 568-586 (2018)
13. 13. Gregor Kemper, Ngo Viet Trung, Nguyen Thi Van Anh, Toward a theory of monomial preorders, Mathematics of Computation 87 (2018), no. 313, 2513-2537 (2018)
14. 14. Ha Huy Tai, Ngo Viet Trung, Tran Nam Trung, Depth and regularity of powers of sums of ideals, Mathematische Zeitschrift 282 (2016), 819–838 (2016)
15. 15. Ha Thi Thu Hien, Ha Minh Lam, Ngo Viet Trung, Saturation and associated primes of powers of edge ideals, Journal of Algebra, 439 (2015), 225–244 (2015)
16. 16. Hong Ngoc Binh, Ngo Viet Trung, The Bhattacharya function of complete monomial ideals in two variables, Communications in Algebra, 43 (2015), 2875-2886 (2015)
17. 17. Naoki Terai, Ngo Viet Trung, On the associated primes and the depth of the second power of squarefree monomial ideals, Journal of Pure and Applied Algebra, 218 (2014), 1117–1129 (2014)
18. 18. Gregor Kemper, Ngo Viet Trung, Krull dimension and monomial orders, Journal of Algebra, 399(2014), 782–800 (2014)
19. 19. Ngo Viet Trung, Introduction to Commutative Algebra and Algebraic Geometry (in Vietnamese), Publishing House of Vietnam Academy of Science and Technology, Hanoi, 2012. (2012)
20. 20. Naoki Terai, Ngo Viet Trung, Cohen–Macaulayness of large powers of Stanley–Reisner ideals, Advances in Mathematics, 229 (2012), 711 -- 730 (2012)
21. 21. Ngo Viet Trung, Tran M. Tuan, Equality of ordinary and symbolic powers of Stanley-Reisner ideals, Journal of Algebra, 328 (2011), 77 - 93 (2011)
22. 22. Nguyen Cong Minh, Ngo Viet Trung, Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals, Advances in Mathematics 226 (2011), 1285 - 1306 (2011)
23. 23. Ngo Viet Trung, Jugal K. Verma, Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications, Journal of Commutative Algebra, 2 (2010), 515 -- 565 (2010)
24. 24. Nguyen Cong Minh, Ngo Viet Trung, Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals, Journal of Algebra, 322 (2009), 4219-4227 (2009)
25. 25. Jürgen Herzog, Takayuki Hibi, Ngo Viet Trung, Vertex cover algebras of unimodular hypergraphs, Proceedings of the American Mathematical Society, 137 (2009), 409-414 (2009)
26. 26. Jürgen Herzog, Satoshi Murai, Xinxian Zheng, Takayuki Hibi, Ngo Viet Trung, Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs, Combinatorica 28 (2008), 315 - 323 (2008)
27. 27. Jürgen Herzog, Takayuki Hibi, Ngo Viet Trung, Xinxian Zheng, Standard graded vertex cover algebras, cycles and leaves, Transactions of the American Mathematical Society, 360 (2008), 6231 - 6249 (2008)
28. 28. Marc Chardin, Nguyen Cong Minh, Ngo Viet Trung, On the regularity of products and intersections of complete intersections, Proceedings of the American Mathematical Society, 135 (2007), 1597 - 1606 (2007)
29. 29. Jürgen Herzog, Takayuki Hibi, Ngo Viet Trung, Symbolic powers of monomial ideals and vertex cover algebras,, Advances in Mathematics, 210 (2007), 304 - 322 (2007)
30. 30. Ngo Viet Trung, Jugal K. Verma, Mixed multiplicities of ideals versus mixed volumes of polytopes,, Transactions of the American Mathematical Society, 359 (2007), 4711 - 4727 (2007)
31. 31. Ngo Viet Trung, Castelnuovo-Mumford regularity and related invariants, In: Commutative algebra and combinatorics, 157 - 180, Ramanujan Math. Soc. Lect. Notes Ser. 4, Ramanujan Math. Soc., Mysore, 2007. (2007)
32. 32. Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla, Castelnuovo-Mumford regularity and finiteness of Hilbert functions, Commutative Algebra, 193 - 209, 2006 (2006)
33. 33. Cao Huy Linh, Ngo Viet Trung, Uniform bounds in generalized Cohen-Macaulay rings, Journal of Algebra, (2006), 1147 - 1159, (2006)
34. 34. Ngo Viet Trung, Integral closures of monomial ideals and Fulkersonian hypergraphs, Vietnam Journal of Mathematics, 34 (2006), 489 - 494. (2006)
35. 35. Ngo Viet Trung, Hsin-Ju Wang, On the asymptotic linearity of Castelnuovo-Mumford regularity, Journal of Pure and Applied Algebra, 201 (2005), 42 - 48. (2005)
36. 36. Ngo Viet Trung, Galois Theory (in Vietnamese), National University Press, Hanoi, 2005 (2005)
37. 37. Craig Huneke, Ngo Viet Trung, On the core of ideals, Compositio Mathematica, 141 (2005), 1 - 18. (2005)
38. 38. Ha Huy Tai, Ngo Viet Trung, Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups, Transactions of the American Mathematical Society, 357 (2005), 3655 - 3672. (2005)
39. 39. Nguyen Duc Hoang, Ngo Viet Trung, Hilbert polynomials of non-standard bigraded algebras, Mathematische Zeitschrift , 245 (2003), 309 - 334. 4. (2003)
40. 40. Ngo Viet Trung, Constructive characterization of the reduction numbers, Compositio Mathematica,137 (2003), 99 - 113. (2003)
41. 41. Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla, Castelnuovo-Mumford regularity and extended degree, Transactions of the American Mathematical Society, 355 (2003), 1773 - 1786. (2003)
42. 42. Le Tuan Hoa, Ngo Viet Trung, Borel-fixed ideals and reduction number, Journal of Algebra, 270 (2003), N0 1, 335 - 346. (2003)
43. 43. Jürgen Herzog, Dorin Popescu, Ngo Viet Trung, Regularity of Rees algebras, Journal of the London Mathematical Society, (2) 65 (2002), 320 - 338. (2002)
44. 44. Ngo Viet Trung, Evaluations of initial ideals and Castelnuovo-Mumford regularity., Proceedings of the American Mathematical Society, 130 (2002), 1265 - 1274 (electronic). (2002)
45. 45. Winfried Bruns, Joseph Gubeladze, Ngo Viet Trung, Problems and algorithms for affine semigroups, Semigroup Forum 64 (2002), 180 - 212. (2002)
46. 46. Jürgen Herzog, Le Tuan Hoa, Ngo Viet Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Transactions of the American Mathematical Society, 354 (2002), 1793 - 1809 (electronic) (2002)
47. 47. Ngo Viet Trung, Lectures on linear algebra (in Vietnamese), Linear Algebra Textbook. Vietnam National University Press Hanoi, 2001, 272 pages. (2001)
48. 48. Aldo Conca, Ngo Viet Trung, Giuseppe Valla, Koszul property for points in projective spaces, Mathematica Scandinavica, 89 (2001), 201 - 216. (2001)
49. 49. Ngo Viet Trung, Positivity of mixed multiplicities, Mathematische Annalen, 319 (2001), 33 - 63 (2001)
50. 50. Ngo Viet Trung, Groebner bases, local cohomology and reduction number, Proceedings of the American Mathematical Society, 129 (2001), 9 - 18. (2001)
51. 51. Dam Van Nhi, Ngo Viet Trung, Specialization of modules over a local ring. Commutative algebra, homological algebra and representation theory (Catania/Genoa/Rome, 1998), Journal of Pure and Applied Algebra, 152 (2000), N0 1-3, 275 - 288 (2000)
52. 52. Ngo Viet Trung, Castelnuovo-Mumford regularity and analytic deviation of ideals, Journal of the London Mathematical Society, (2) 62 (2000), 41 - 55. (2000)
53. 53. Ngo Viet Trung, The largest non-vanishing degree of graded local cohomology modules, Journal of Algebra, 215 (1999), 481 - 499. (1999)
54. 54. Steven Dale Cutkosky, Jürgen Herzog, Ngo Viet Trung, Asymptotic behaviour of Castelnuovo-Mumford regularity, Compositio Mathematica, 118 (1999), 243 - 261 (1999)
55. 55. Dam Van Nhi, Ngo Viet Trung, Specialization of modules, Communications in Algebra, 27 (1999), 2959 - 2978. (1999)
56. 56. Ngo Viet Trung, The Castelnuovo regularity of the Rees algebra and the associated graded ring, Transactions of the American Mathematical Society, 350 (1998), 2813 - 2832. (1998)
57. 57. Aron Simis, Ngo Viet Trung, Giuseppe Valla, The diagonal subalgebras of a blow-up ring, Journal of Pure and Applied Algebra, 125 (1998), 305 - 328. (1998)
58. 58. Le Tuan Hoa, Ngo Viet Trung, On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals, Mathematische Zeitschrift, 229 (1998), 519 - 537. (1998)
59. 59. Ngo Viet Trung, Winfried Bruns, Joseph Gubeladze, Normal polytopes, triangulations and Koszul algebras, Journal reine angew Mathematik, 485 (1997), 123 - 160. (1997)
60. 60. Aldo Conca, Jürgen Herzog, Ngo Viet Trung, Giuseppe Valla, Diagonal subalgebras and embbedings of blow-ups of projective spaces, American Journal of Mathematics, 119 (1997), 859 - 901. (1997)
61. 61. J. Aberbach, Craig Huneke, Ngo Viet Trung, Reduction numbers, Briancon-Skoda theorem and the depth of Rees rings., Compositio Mathematica, 97 (1995), 403 - 434. (1996)
62. 62. Ngo Viet Trung, On the lifting of determinantal ideals, Manuscripta Mathematica, 91 (1996), 467 - 481 (1996)
63. 63. Ngo Viet Trung, Duong Quoc Viet, Santiago Zarzuela, When is the Rees algebra Gorenstein?, Journal of Algebra, 175 (1995), 137 - 156. (1995)
64. 64. Ngo Viet Trung, Manfred Herrmann, Eero Hyry, Jürgen Ribbe, On multi-Rees algebras, Mathematische Annalen, 301 (1995), 249 - 279. (1995)
65. 65. Ngo Viet Trung, Giuseppe Valla, On zero-dimensional subschemes of complete intersections, Mathematische Zeitschrift, 219 (1995), 187 - 201. (1995)
66. 66. Bernd Sturmfels, Ngo Viet Trung, Wolfgang Vogel, Bounds on degrees of projective schemes, Mathematische Annalen, 302 (1995), 417 - 432 (1995)
67. 67. Ngo Viet Trung, Giuseppe Valla, Upper bounds for the regularity index of fat points with uniform position property, Journal of Algebra, 176 (1995), 182 - 209. (1995)
68. 68. Ngo Viet Trung, Craig Huneke, J. Aberbach, Reduction numbers, Briancon-Skoda theorem and the depth of Rees rings, Compositio Mathematica, 97 (1995), 403 - 434. (1995)
69. 69. Jürgen Herzog, Giuseppe Valla, Ngo Viet Trung, On hyperplane sections of reduced irreducible varieties of low codimension, Journal of Mathematics of Kyoto University, 34 (1994), 47 - 72. (1994)
70. 70. Ngo Viet Trung, An algebraic approach to the regularity index of fat points in ${\bf P}^n$, Kodai Mathematical Journal, J. 17 (1994), 382 - 389. (1994)
71. 71. Ngo Viet Trung, Reduction number, a-invariant, and Rees algebras of ideals having small analytic deviation, In: Commutative Algebra (ICTP, Trieste 1992), World Scientific, 1994, 245 - 262. (1994)
72. 72. Aron Simis, Ngo Viet Trung, Giuseppe Valla, Commutative algebra (ICTP, Trieste 1992), World Scientific, 1994. (1994)
73. 73. Manfred Herrmann, Ngo Viet Trung, Examples of Buchsbaum quasi-Gorenstein rings, Proceedings of the American Mathematical Society, 117 (1993), 619 - 625. (1993)
74. 74. Ngo Viet Trung, Filter-regular sequences and multiplicity of blow-up rings of ideals of the principal class, Journal of Mathematics of Kyoto University, 33 (1993), 665 - 683 (1993)
75. 75. Maria Virginia Catalisano, Ngo Viet Trung, Giuseppe Valla, A sharp bound for the regularity index of fat points in general position, Proceedings of the American Mathematical Society, (1993), 717 - 724. (1993)
76. 76. Jürgen Herzog, Ngo Viet Trung, Grobner bases and multiplicity of determinantal and Pfaffian ideals, Advances in Mathematics, 96 (1992), 1 - 37. (1992)
77. 77. Jürgen Herzog, Ngo Viet Trung, Bernd Ulrich, On the multiplicity of Rees algebras and associated graded rings of d-sequences, Journal of Pure and Applied Algebra, 80 (1992), 273 - 297. (1992)
78. 78. Ngo Viet Trung, Duong Quoc Viet, On the Cohen-Macaulay and Gorenstein property of Rees algebras of non-singular equimultiple prime ideals, Manuscripta mathematica, 76 (1992), 147 - 167. (1992)
79. 79. Ngo Viet Trung, On the presentation of Hodge algebras and the existence of Hodge algebra structures, Communications in Algebra, 19 (1991), 1183 - 1195. (1991)
80. 80. Manfred Herrmann, Jürgen Ribbe, Ngo Viet Trung, Santiago Zarzuela, Bounds for the multiplicity of almost complete intersections, Manuscripta mathematica, 72 (1991), 275 - 296 (1991)
81. 81. Winfried Bruns, Aron Simis, Ngo Viet Trung, Blow-ups of straightening closed ideals in ordinal Hodge algebras, Transactions of the American Mathematical Society, 326 (1991), 507 - 528. (1991)
82. 82. Manfred Herrmann, Jürgen Ribbe, Ngo Viet Trung, Rees algebras of non-singular equimultiple prime ideals, Nagoya Mathematical Journal, 124 (1991), 1 - 12. (1991)
83. 83. Morales Marcel, Ngo Viet Trung, Orlando E. Villamayor, Sur la fonction de Hilbert-Samuel des clôtures intégrales des puissances d'idéaux engendrés par un système de paramètres, Journal of Algebra, 129 (1990), 96 - 102. (1990)
84. 84. Ngo Viet Trung, Shin Ikeda, When is the Rees algebra Cohen-Macaulay?, Communications in Algebra, 17 (12) (1989), 2893 - 2922. (1989)
85. 85. Ngo Viet Trung, Giuseppe Valla, The Cohen-Macaulay type of points in generic position, Journal of Algebra, 125 (1989), 110 - 119 (1989)
86. 86. Le Tuan Hoa, Ngo Viet Trung, Corrigendum to “Affine semigroups and Cohen-Macaulay rings generated by monomials, Transactions of the American Mathematical Society, 305 (1988), 857. (1988)
87. 87. Aron Simis, Ngo Viet Trung, The divisor class group of ordinary and symbolic blow-ups, Mathematische Zeitschrift, 198 (1988), 479 - 491. (1988)
88. 88. Ngo Viet Trung, Giuseppe Valla, Degree bounds for the defining equations of arithmetically Cohen-Macaulay varieties, Mathematische Annalen, 281 (1988), 479 - 491. (1988)
89. 89. Ngo Viet Trung, Reduction exponent and degree bounds for the defining equations of graded rings, Proceedings of the American Mathematical Society, 101 (1987), 229 - 236. (1987)
90. 90. Ngo Viet Trung, Giuseppe Valla, On degree bounds for the defining equations of arithmetically Cohen-Macaulay and Buchsbaum varieties, Acta Mathematica Vietnamica, 12 (1987), $N^0 2$, 113 - 122. (1987)
91. 91. Ngo Viet Trung, Towards a theory of generalized Cohen-Macaulay modules, Nagoya Mathematical Journal, 102 (1986), 1 - 49. (1986)
92. 92. Ngo Viet Trung, Le Tuan Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials, Transactions of the American Mathematical Society, 298 (1986), 145 - 167. (1986)
93. 93. Ngo Viet Trung, Maximum number of independent elements and dimension of prime divisors in completions of local rings, Journal of Algebra, 93 (1985), 418 - 438. (1985)
94. 94. Ngo Viet Trung, On tensor products of extensions of a field, Quarterly Journal of Mathematics, 35 (1984), 337 - 339. (1984)
95. 95. Ngo Viet Trung, Bounds for the minimum number of generators of generalized Cohen-Macaulay ideals, Journal of Algebra, 90 (1984), 1 - 9. (1984)
96. 96. Ngo Viet Trung, From associated graded modules to blowing-ups of generalized Cohen-Macaulay modules, Journal of Mathematics of Kyoto University, 24 (1984), 611 - 622. (1984)
97. 97. Ngo Viet Trung, Degree bounds for the defining equations of projective monomial curves, Acta Mathematica Vietnamica, 9 (1984), 157 - 163. (1984)
98. 98. Ngo Viet Trung, Projections of one-dimensional Veronese varieties, Mathematische Nachrichten, 118 (1984), 47 - 67. (1984)
99. 99. Ngo Viet Trung, Absolutely superficial sequence, Mathematical Proceedings of the Cambridge Philosophical Society, 93 (1983), 35 - 47. (1983)
100. 100. Ngo Viet Trung, On the associated graded ring of a Buchsbaum ring, Mathematische Nachrichten, 107 (1982), 489 - 495. (1982)
101. 101. Ngo Viet Trung, On certain transitivity of the graded ring associated with an ideal, Proceedings of the American Mathematical Society, 85 (1982), 489 - 495. (1982)
102. 102. Ngo Viet Trung, Standard systems of parameters of generalized Cohen-Macaulay module, s, In: Proceedings of the 4th Symposium on Commutative Algebra in Japan, Karuizawa, 1982, 164 - 180. (1982)
103. 103. Ngo Viet Trung, Classification of the double projections of Veronese varieties, Journal of Mathematics of Kyoto University, 22 (1983), 567 - 581. (1982)
104. 104. Nguyen Tu Cuong, Ngo Viet Trung, Uber schwache Sequenzen, Period. Math. Hungar. 11 (1981), 77 - 80 (1981)
105. 105. Ngo Viet Trung, Der graduierte Ring bezuglich des Primideals von Macaulay, Beitr. Algebra Geometrie 11 (1981), 35 - 40 (1981)
106. 106. Ngo Viet Trung, A class of imperfect prime ideals having the equality of ordinary and symbolic powers, J. Math. Kyoto Univ. 21 (1981), 239 - 250 (1981)
107. 107. Ngo Viet Trung, A characterization of two dimensional unmixed local domains, Mathematical Proceedings of the Cambridge Philosophical Society 89 (1981), 237 - 239 (1981)
108. 108. Ngo Viet Trung, Principal systems of ideals., Acta Math Vietnam. 6 (1981), 57 - 63 (1981)
109. 109. Ngo Viet Trung, Über allgemeine Hyperflächenschnitte einer algebraischen Varietät, Monatsh. Math. 89 (1980), 323 - 340 (1980)
110. 110. Ngo Viet Trung, Spezialisierungen allgemeiner Hyperflọchenschnitte und Anwendungen, In: Seminar D. Eisenbud - B. Singh - W. Vogel, Vol. I, Teubner-Verlag, Leipzig, 1980, 4 - 43 (1980)
111. 111. Ngo Viet Trung, Some criteria for Buchsbaum modules, Monatsh. Math. 90 (1980), 331 - 337 (1980)
112. 112. Ngo Viet Trung, Uber die ubertragung der Ringeigenschaften zwischen R und R[u]/(F), Math. Nachr. 92 (1979), 215 - 229 (1979)
113. 113. Ngo Viet Trung, On the symbolic powers of determinantal ideals, J. Algebra 58 (1979), 361 - 369 (1979)
114. 114. Peter Schenzel, Ngo Viet Trung, Nguyen Tu Cuong, Uber verallgemeinerte Cohen- Macaulay Moduln, Math. Nachr. 85 (1978), 57 - 73 (1978)

Scientific Activities

Seminar

1. Linear cores of graded algebras (Part II)
2. Linear cores of graded algebras

Institute Lectures

1. Ear decompositions of graphs: an unexpected tool in combinatorial commutative algebra