Ngô Việt Trung
GS. TSKH. NCVCC
Cộng tác viên
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Liên hệ
Phòng làm việc: 416, Nhà A6
Điện thoại: +84 (024 38361121 / 416
Email: nvtrung AT math.ac.vn
Giải thưởng
- Giải thưởng Hồ Chí Minh về Khoa học và Công nghệ năm 2016 (chung với GS Nguyễn Tự Cường và GS Lê Tuấn Hoa)
- Giải thưởng Nhân tài đất Việt trong lĩnh vực Khoa học tự nhiên về Toán học năm 2009
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DANH SÁCH CÔNG TRÌNH
Danh sách trong Mathscinet
Danh sách gần đây1 | 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, (SCI-E, Scopus). |
2 | Ha Thi Thu Hien, Hà Minh Lam, Ngô Việt Trung, Decreasing behavior of the depth functions of edge ideals. Journal of Algebraic Combinatorics, Volume 59 (2024), pages 37–53, (SCI-E, Scopus). |
3 | Phạm Hùng Quý, Ngô Việt Trung, When does a perturbation of the equations preserve the normal cone? Transactions of the American Mathematical Society, 376 (2023), no. 7, 4957-4978, (SCI-E, Scopus). |
4 | Tran Thi Gia Lam, Ngô Việt Trung, Buchsbaumness and Castelnuovo-Mumford regularity of non-smooth monomial curves, Journal of Algebra Volume 590, (2022), Pages 313-33, (SCI-E, Scopus). |
5 | 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, (SCI-E, Scopus). |
6 | Claudia Polini, Ngô Việt Trung, Bernd Ulrich, Javid Validashti, Multiplicity sequence and integral dependence, Mathematische Annalen 378 (2020), 951-969. (SCI-E, Scopus). |
7 | Hà Huy Tài, Nguyễn Đăng Hợp, Ngô Việt Trung, Trần Nam Trung, Symbolic powers of sums of ideals, Mathematische Zeitschrift, 294 (2020), pages1499–1520, SCI(-E), Scopus. |
8 | Nguyễn Đăng Hợp, Ngô Việt Trung, Correction to: Depth functions of symbolic powers of homogeneous ideals, Inventiones mathematicae, 218 (2019), pages 829–831, SCI(-E), Scopus. |
9 | Nguyễn Đăng Hợp, Ngô Việt Trung, Depth functions of symbolic powers of homogeneous ideals, Inventiones mathematicae, 218 (2019), 779–827, SCI(-E), Scopus. |
10 | Hà Minh Lam, Ngô Việt Trung, Associated primes of powers of edge ideals and ear decompositions of graphs, Transactions of the American Mathematical Society 372 (2019), 3211-3236 SCI(-E), Scopus. |
11 | Giulio Cavigli, Hà Huy Tài, Jürgen Herzog, Manoj Kummini, Naoki Terai, Ngô Việt Trung, Depth and regularity modulo a principal ideal. Journal of Algebraic Combinatorics 49 (2019), no. 1, 1–20, SCI(-E), Scopus. |
12 | Hà Huy Tài, Ngô Việt Trung, Membership Criteria and Containments of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 44 (2019), pp 117–139, Scopus. |
13 | Maria Evelina Rossi, Dinh Thanh Trung, Ngô Việt Trung, Castelnuovo-Mumford regularity and Ratliff-Rush closure. Journal of Algebra 504 (2018), 568-586, SCI(-E); Scopus. |
14 | Gregor Kemper, Ngô Việt Trung, Nguyen Thi Van Anh, Toward a theory of monomial preorders, Mathematics of Computation 87 (2018), no. 313, 2513-2537, SCI(-E); Scopus. |
15 | Ha Huy Tài, Ngô Việt Trung, Trần Nam Trung, Depth and regularity of powers of sums of ideals. Mathematische Zeitschrift 282 (2016), 819–838, SCI(-E); Scopus. |
16 | Ha Thi Thu Hien, Hà Minh Lam, Ngô Việt Trung, Saturation and associated primes of powers of edge ideals, Journal of Algebra, 439 (2015), 225–244, SCI(-E); Scopus. |
17 | Hong Ngoc Binh, Ngô Việt Trung, The Bhattacharya function of complete monomial ideals in two variables, Communications in Algebra, 43 (2015), 2875-2886, SCI(-E), Scopus. |
18 | Naoki Terai, Ngô Việt 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, SCI(-E); Scopus. |
19 | Gregor Kemper, Ngô Việt Trung, Krull dimension and monomial orders, Journal of Algebra, 399(2014), 782–800, SCI(-E); Scopus. |
20 | Ngô Việt Trung, Introduction to Commutative Algebra and Algebraic Geometry (in Vietnamese), Publishing House of Vietnam Academy of Science and Technology, Hanoi, 2012. |
21 | Ngô Việt Trung, Naoki Terai, Cohen–Macaulayness of large powers of Stanley–Reisner ideals, Advances in Mathematics, 229 (2012), 711 -- 730, SCI(-E); Scopus. |
22 | Ngô Việt Trung, T. M. Tuan, Equality of ordinary and symbolic powers of Stanley-Reisner ideals, Journal of Algebra, 328 (2011), 77 - 93, preprint arXiv:1009.0828, SCI(-E); Scopus. |
23 | Ngô Việt Trung, N. C. Minh, Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals. Advances in Mathematics 226 (2011), 1285 - 1306, SCI(-E); Scopus. |
24 | Ngô Việt Trung, J. K. Verma, Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications, Journal of Commutative Algebra, 2 (2010), 515 -- 565, SCI(-E); Scopus. |
25 | Nguyen Cong Minh, Ngô Việt Trung, Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals, J. Algebra, 322 (2009), 4219-4227. |
26 | J. Herzog, T. Hibi, Ngô Việt Trung, Vertex cover algebras of unimodular hypergraphs, Proc. Amer. Math. Soc., 137 (2009), 409-414, preprint arXiv:math/0703577. |
27 | Juergen Herzog, Takayuki Hibi, Satoshi Murai, Xinxian Zheng, Ngô Việt Trung, Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs, Combinatorica 28 (2008), 315 - 323, preprint arXiv:math/0606477. |
28 | Jürgen Herzog, Takayuki Hibi, Ngô Việt Trung, Xinxian Zheng, Standard graded vertex cover algebras, cycles and leaves, Trans. Amer. Math. Soc. 360 (2008), 6231 - 6249, preprint arXiv:math/0606357. |
29 | Marc Chardin, Nguyen Cong Minh, Ngô Việt Trung, On the regularity of products and intersections of complete intersections, Proc. Amer. Math. Soc. 135 (2007), 1597 - 1606, preprint arXiv:math/0503157. |
30 | Jürgen Herzoga, Takayuki Hibib, Ngô Việt Trung, Symbolic powers of monomial ideals and vertex cover algebras, Adv. Math. 210 (2007), 304 - 322. |
31 | Ngô Việt Trung, Jugal Verma , Mixed multiplicities of ideals versus mixed volumes of polytopes, Trans. Amer. Math. Soc. 359 (2007), 4711 - 4727, preprint arXiv:math/0504178. |
32 | Ngô Việt 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. |
33 | Maria Evelina Rossi, Ngô Việt Trung, Giuseppe Val, Castelnuovo-Mumford regularity and finiteness of Hilbert functions, Commutative algebra, 193 - 209, 2006, preprint arXiv:math/0407398. |
34 | Cao Huy Linh, Ngô Việt Trung, Uniform bounds in generalized Cohen-Macaulay rings, J. Algebra 304 (2006), 1147 - 1159, preprint arXiv:math/0606639. |
35 | Ngô Việt Trung, Integral closures of monomial ideals and Fulkersonian hypergraphs, Vietnam J. Math. 34 (2006), 489 - 494. |
36 | Ngô Việt Trung, Hsin-Ju Wang, On the asymptotic linearity of Castelnuovo-Mumford regularity, J. Pure Appl. Algebra 201 (2005), 42 - 48. |
37 | Ngô Việt Trung, Galois Theory (in Vietnamese), National University Press, Hanoi, 2005. |
38 | Craig Huneke, Ngô Việt Trung, On the core of ideals. Compos. Math. 141 (2005), 1 - 18. |
39 | Ha Huy Tai, Ngô Việt Trung, Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups. Trans. Amer. Math. Soc. 357 (2005), 3655 - 3672. |
40 | Nguyên Duc Hoang, Ngô Việt Trung, Hilbert polynomials of non-standard bigraded algebras, Math. Z. 245 (2003), 309 - 334. 4. |
41 | Ngô Việt Trung, Constructive characterization of the reduction numbers, Compositio Math. 137 (2003), 99 - 113. |
42 | Maria Evelina Rossi, Ngô Việt Trung, Giuseppe Valla, Castelnuovo-Mumford regularity and extended degree, Trans. Amer. Math. Soc. 355 (2003), 1773 - 1786. |
43 | Lê Tuấn Hoa, Ngô Việt Trung, Borel-fixed ideals and reduction number, J. Algebra 270 (2003), N0 1, 335 - 346. |
44 | J. Herzog, D. Popescu, Ngô Việt Trung, Regularity of Rees algebras. J. London Math. Soc. (2) 65 (2002), 320 - 338. |
45 | Ngô Việt Trung, Evaluations of initial ideals and Castelnuovo-Mumford regularity. Proc. Amer. Math. Soc. 130 (2002), 1265 - 1274 (electronic). |
46 | Ngô Việt Trung, W. Bruns and J. Gubeladze, Problems and algorithms for affine semigroups. Semigroup Forum 64 (2002), 180 - 212. |
47 | Jürgen Herzog, Lê Tuấn Hoa, Ngô Việt Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Trans. Amer. Math. Soc. 354 (2002), 1793 - 1809 (electronic). |
48 | Ngô Việt Trung, Lectures on linear algebra (in Vietnamese) - Giáo trình đại số tuyến tính. NXB ĐHQG Hà Nội, 2001, 272 trang. |
49 | Aldo Conca, Ngô Việt Trung, Giuseppe Valla, Koszul property for points in projective spaces, Math. Scand. 89 (2001), 201 - 216. |
50 | Ngô Việt Trung, Positivity of mixed multiplicities, Math. Ann. 319 (2001), 33 - 63. |
51 | Ngô Việt Trung, Groebner bases, local cohomology and reduction number. Proc. Amer. Math. Soc. 129 (2001), 9 - 18. |
52 | Dam Van Nhi, Ngô Việt Trung, Specialization of modules over a local ring. Commutative algebra, homological algebra and representation theory (Catania/Genoa/Rome, 1998). J. Pure Appl. Algebra 152 (2000), N0 1-3, 275 - 288. |
53 | Ngô Việt Trung, Castelnuovo-Mumford regularity and analytic deviation of ideals. J. London Math. Soc. (2) 62 (2000), 41 - 55. |
54 | Ngô Việt Trung, The largest non-vanishing degree of graded local cohomology modules. J. Algebra 215 (1999), 481 - 499. |
55 | S. Dale Cutkosky, Jürgen Herzog, Ngô Việt Trung, Asymptotic behaviour of Castelnuovo-Mumford regularity. Compositio Math. 118 (1999), 243 - 261. |
56 | Dam Van Nhi, Ngô Việt Trung, Specialization of modules. Comm. Algebra 27 (1999), 2959 - 2978. |
57 | Ngô Việt Trung, The Castelnuovo regularity of the Rees algebra and the associated graded ring. Trans. Amer. Math. Soc. 350 (1998), 2813 - 2832. |
58 | A. Simis, Ngô Việt Trung, G. Valla, The diagonal subalgebras of a blow-up ring. J. Pure Appl. Algebra 125 (1998), 305 - 328. |
59 | Lê Tuấn Hoa, Ngô Việt Trung, On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals. Math. Z. 229 (1998), 519 - 537. |
60 | Aldo Conca, Giuseppe Valla, Jurgen Herzog, Ngô Việt Trung, Diagonal subalgebras and embbedings of blow-ups of projective spaces. Amer. J. Math. 119 (1997), 859 - 901. |
61 | W. Bruns, J. Gubeladze, Ngô Việt Trung, Normal polytopes, triangulations and Koszul algebras. J. Reine Angew. Math. 485 (1997), 123 - 160. |
62 | Ngô Việt Trung, On the lifting of determinantal ideals. Manuscripta Math. 91 (1996), 467 - 481. |
63 | J. Aberbach, C. Huneke, Ngô Việt Trung, Reduction numbers, Briancon-Skoda theorem and the depth of Rees rings. Compositio Math. 97 (1995), 403 - 434. |
64 | Ngô Việt Trung, G. Valla, Upper bounds for the regularity index of fat points with uniform position property. J. Algebra 176 (1995), 182 - 209. |
65 | Bernd Sturmfels, Ngô Việt Trung, Wolfgang Vogel, Bounds on degrees of projective schemes. Math. Ann. 302 (1995), 417 - 432. |
66 | Ngô Việt Trung, Giuseppe Valla, On zero-dimensional subschemes of complete intersections. Math. Z. 219 (1995), 187 - 201. |
67 | Ngô Việt Trung, Manfred Herrmann, Eero Hyry, Jürgen Ribbe, On multi-Rees algebras. Math. Ann. 301 (1995), 249 - 279. |
68 | Ngô Việt Trung, D.Q. Viet, S. Zarzuela, When is the Rees algebra Gorenstein?. J. Algebra 175 (1995), 137 - 156. |
69 | Aron Simis, Ngô Việt Trung, Giuseppe Valla, Commutative algebra (ICTP, Trieste 1992). Eds.: A. Simis, N. V. Trung and G. Valla, World Scientific, 1994. |
70 | Ngô Việt 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. |
71 | Ngô Việt Trung, An algebraic approach to the regularity index of fat points in ${\bf P}^n$. Kodai Math. J. 17 (1994), 382 - 389. |
72 | Jürgen Herzog, Giuseppe Valla, Ngô Việt Trung, On hyperplane sections of reduced irreducible varieties of low codimension. J. Math. Kyoto Univ. 34 (1994), 47 - 72. |
73 | M. V. Catalisano, Ngô Việt Trung, G. Valla, A sharp bound for the regularity index of fat points in general position. Proc. Amer. Math. Soc. (1993), 717 - 724. |
74 | Ngô Việt Trung, Filter-regular sequences and multiplicity of blow-up rings of ideals of the principal class. J. Math. Kyoto Univ. 33 (1993), 665 - 683. |
75 | Manfred Herrmann, Ngô Việt Trung, Examples of Buchsbaum quasi-Gorenstein rings. Proc. Amer. Math. Soc. 117 (1993), 619 - 625. |
76 | Ngô Việt Trung, Duong Quôc Viêt, On the Cohen-Macaulay and Gorenstein property of Rees algebras of non-singular equimultiple prime ideals. Manus. Math. 76 (1992), 147 - 167. |
77 | Jürgen Herzog, Ngô Việt Trung, Bernd Ulrich, On the multiplicity of Rees algebras and associated graded rings of d-sequences. J. Pure Appl. Algebra 80 (1992), 273 - 297. |
78 | Jürgen Herzog, Ngô Việt Trung, Grobner bases and multiplicity of determinantal and Pfaffian ideals. Advances in Math. 96 (1992), 1 - 37. |
79 | M. Herrmann, J. Ribbe, Ngô Việt Trung, Rees algebras of non-singular equimultiple prime ideals. Nagoya Math. J. 124 (1991), 1 - 12. |
80 | Winfried Bruns, Aron Simis, Ngô Việt Trung, Blow-ups of straightening closed ideals in ordinal Hodge algebras. Trans. Amer. Math. Soc. 326 (1991), 509 - 518. |
81 | M. Herrmann, J. Ribbe, Ngô Việt Trung, S. Zarzuela, Bounds for the multiplicity of almost complete intersections. Manus. Math. 72 (1991), 275 - 296. |
82 | Ngô Việt Trung, On the presentation of Hodge algebras and the existence of Hodge algebra structures. Comm. Algebra 19 (1991), 1183 - 1195. |
83 | M. Morales, Ngô Việt Trung, O. Villamayor, Sur la fonction de Hilbert-Samuel des clôtures intégrales des puissances d'idéaux engendrés par un système de paramètres. J. Algebra 129 (1990), 96 - 102. |
84 | Ngô Việt Trung, Giuseppe Valla, The Cohen-Macaulay type of points in generic position. J. Algebra 125 (1989), 110 - 119. |
85 | Ngô Việt Trung, Shin Ikeda, When is the Rees algebra Cohen-Macaulay? Comm. Algebra 17 (12) (1989), 2893 - 2922. |
86 | Ngô Việt Trung, Giuseppe Valla, Degree bounds for the defining equations of arithmetically Cohen-Macaulay varieties. Math. Ann. 281 (1988), 479 - 491. |
87 | A. Simis, Ngô Việt Trung, The divisor class group of ordinary and symbolic blow-ups. Math. Zeits. 198 (1988), 479 - 491. |
88 | Ngô Việt Trung, G. Valla, On degree bounds for the defining equations of arithmetically Cohen-Macaulay and Buchsbaum varieties. Acta Math. Vietnam. 12 (1987), 113 - 122. |
89 | Ngô Việt Trung, Reduction exponent and degree bounds for the defining equations of graded rings. Proc. Amer. Math. Soc. 101 (1987), 229 - 236. |
90 | Ngô Việt Trung, Towards a theory of generalized Cohen-Macaulay modules. Nagoya Math. J. 102 (1986), 1 - 49. |
91 | Ngô Việt Trung, Lê Tuấn Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials. Trans. Amer. Math. Soc. 298 (1986), 145 - 167. |
92 | Ngô Việt Trung, Maximum number of independent elements and dimension of prime divisors in completions of local rings. J. Algebra 93 (1985), 418 - 438. |
93 | Ngô Việt Trung, Projections of one-dimensional Veronese varieties. Math. Nachr. 118 (1984), 47 - 67. |
94 | Ngô Việt Trung, Degree bounds for the defining equations of projective monomial curves. Acta Math. Vietnam. 9 (1984), 157 - 163. |
95 | Ngô Việt Trung, From associated graded modules to blowing-ups of generalized Cohen-Macaulay modules. J. Math. Kyoto Univ. 24 (1984), 611 - 622. |
96 | Ngô Việt Trung, Bounds for the minimum number of generators of generalized Cohen-Macaulay ideals, J. Algebra 90 (1984), 1 - 9. |
97 | Ngô Việt Trung, On tensor products of extensions of a field. Quart. J. Math. 35 (1984), 337 - 339. |
98 | Ngô Việt Trung, Absolutely superficial sequence. Math. Proc. Cambridge Phil. Soc. 93 (1983), 35 - 47. |
99 | Ngô Việt Trung, On certain transitivity of the graded ring associated with an ideal. Proc. Amer. Math. Soc. 85 (1982), 489 - 495. |
100 | Ngô Việt Trung, Standard systems of parameters of generalized Cohen-Macaulay modules, In: Proceedings of the 4th Symposium on Commutative Algebra in Japan, Karuizawa, 1982, 164 - 180. |
101 | Ngô Việt Trung, On the associated graded ring of a Buchsbaum ring, Math. Nachr. 107 (1982), 209 - 220. |
102 | Ngô Việt Trung, Classification of the double projections of Veronese varieties. J. Math. Kyoto Univ. 22 (1982), 567 - 581. |
103 | Ngô Việt Trung, Principal systems of ideals. Acta Math. Vietnam. 6 (1981), 57 - 63. |
104 | Ngô Việt Trung, A characterization of two dimensional unmixed local domains. Math. Proc. Camb. Phil. Soc. 89 (1981), 237 - 239. |
105 | Ngô Việt Trung, A class of imperfect prime ideals having the equality of ordinary and symbolic powers. J. Math. Kyoto Univ. 21 (1981), 239 - 250. |
106 | Ngô Việt Trung, Der graduierte Ring bezuglich des Primideals von Macaulay. Beitr. Algebra Geometrie 11 (1981), 35 - 40. |
107 | Nguyễn Tự Cường, Ngô Việt Trung, Uber schwache Sequenzen. Period. Math. Hungar. 11 (1981), 77 - 80. |
108 | Ngô Việt Trung, Some criteria for Buchsbaum modules. Monatsh. Math. 90 (1980), 331 - 337. |
109 | Ngô Việt Trung, Spezialisierungen allgemeiner Hyperflọchenschnitte und Anwendungen, In: Seminar D. Eisenbud - B. Singh - W. Vogel, Vol. I, Teubner-Verlag, Leipzig, 1980, 4 - 43. |
110 | Ngô Việt Trung, Über allgemeine Hyperflächenschnitte einer algebraischen Varietät. Monatsh. Math. 89 (1980), 323 - 340. |
111 | Ngô Việt Trung, On the symbolic powers of determinantal ideals, J. Algebra 58 (1979), 361 - 369. |
112 | Ngô Việt Trung, Uber die ubertragung der Ringeigenschaften zwischen R und R[u]/(F). Math. Nachr. 92 (1979), 215 - 229. |
113 | Peter Schenzel, Ngô Việt Trung, Nguyễn Tự Cường, Uber verallgemeinerte Cohen- Macaulay Moduln. Math. Nachr. 85 (1978), 57 - 73. |
Tin tức nổi bật
20/12/24, Bài giảng viện: New matrix perturbation bounds via “skewness”: theory and applications. |
06/01/25, Hội nghị, hội thảo: The 3rd Vietnam - Korea joint workshop on selected topics in mathematics |
06/01/25, Hội nghị, hội thảo: Geometry and Dynamics in Low Dimensions |