Công bố khoa học

• Công bố khoa học

  1.  Hà Thị Thu Hiền, 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

  2.  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

  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

  4.  Trần Thị Gia Lâm, 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.  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).

  7.  Nguyễn Đăng Hợp, Ngô Việt Trung, Depth functions of symbolic powers of homogeneous ideals, Inventiones mathematicae, 218 (2019), 779–827 (SCI(-E), Scopus).

  8.  Hà Huy Tài, Ngô Việt Trung, Membership Criteria and Containments of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 44 (2019), pp 117–139 (Scopus).

  9.  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).

  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.  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).

  12.  Maria Evelina Rossi, Đinh Thành Trung, Ngô Việt Trung, Castelnuovo-Mumford regularity and Ratliff-Rush closure, Journal of Algebra 504 (2018), 568-586 (SCI(-E); Scopus).

  13.  Hà 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).

  14.  Hồng Ngọc Bình, Ngô Việt Trung, The Bhattacharya function of complete monomial ideals in two variables, Communications in Algebra, 43 (2015), 2875-2886 (SCI(-E), Scopus).

  15.  Hà Thị Thu Hiền, 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).

  16.  Gregor Kemper, Ngô Việt Trung, Krull dimension and monomial orders, Journal of Algebra, 399(2014), 782–800 (SCI(-E); Scopus).

  17.  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).

  18.  Naoki Terai, Ngô Việt Trung, Cohen–Macaulayness of large powers of Stanley–Reisner ideals, Advances in Mathematics, 229 (2012), 711 -- 730

  19.  Ngô Việt Trung, Introduction to Commutative Algebra and Algebraic Geometry (in Vietnamese), Publishing House of Vietnam Academy of Science and Technology, Hanoi, 2012.

  20.  Nguyễn Công Minh, Ngô Việt Trung, Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals, Advances in Mathematics 226 (2011), 1285 - 1306

  21.  Ngô Việt Trung, Tran M. Tuan, Equality of ordinary and symbolic powers of Stanley-Reisner ideals, Journal of Algebra, 328 (2011), 77 - 93

  22.  Ngô Việt Trung, Jugal K. Verma, Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications, Journal of Commutative Algebra, 2 (2010), 515 -- 565

  23.  Jürgen Herzog, Takayuki Hibi, Ngô Việt Trung, Vertex cover algebras of unimodular hypergraphs, Proceedings of the American Mathematical Society, 137 (2009), 409-414

  24.  Nguyễn Công Minh, Ngô Việt Trung, Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals, Journal of Algebra, 322 (2009), 4219-4227

  25.  Jürgen Herzog, Takayuki Hibi, Ngô Việt Trung, Xinxian Zheng, Standard graded vertex cover algebras, cycles and leaves, Transactions of the American Mathematical Society, 360 (2008), 6231 - 6249

  26.  Jürgen Herzog, Satoshi Murai, Xinxian Zheng, Takayuki Hibi, Ngô Việt Trung, Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs, Combinatorica 28 (2008), 315 - 323

  27.  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.

  28.  Ngô Việt Trung, Jugal K. Verma, Mixed multiplicities of ideals versus mixed volumes of polytopes,, Transactions of the American Mathematical Society, 359 (2007), 4711 - 4727

  29.  Jürgen Herzog, Takayuki Hibi, Ngô Việt Trung, Symbolic powers of monomial ideals and vertex cover algebras,, Advances in Mathematics, 210 (2007), 304 - 322

  30.  Marc Chardin, Nguyễn Công Minh, Ngô Việt Trung, On the regularity of products and intersections of complete intersections, Proceedings of the American Mathematical Society, 135 (2007), 1597 - 1606

  31.  Ngô Việt Trung, Integral closures of monomial ideals and Fulkersonian hypergraphs, Vietnam Journal of Mathematics, 34 (2006), 489 - 494.

  32.  Cao Huy Linh, Ngô Việt Trung, Uniform bounds in generalized Cohen-Macaulay rings, Journal of Algebra, (2006), 1147 - 1159,

  33.  Maria Evelina Rossi, Ngô Việt Trung, Giuseppe Valla, Castelnuovo-Mumford regularity and finiteness of Hilbert functions, Commutative Algebra, 193 - 209, 2006

  34.  Hà Huy Tài, Ngô Việt Trung, Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups, Transactions of the American Mathematical Society, 357 (2005), 3655 - 3672.

  35.  Craig Huneke, Ngô Việt Trung, On the core of ideals, Compositio Mathematica, 141 (2005), 1 - 18.

  36.  Ngô Việt Trung, Galois Theory (in Vietnamese), National University Press, Hanoi, 2005

  37.  Ngô Việt Trung, Hsin-Ju Wang, On the asymptotic linearity of Castelnuovo-Mumford regularity, Journal of Pure and Applied Algebra, 201 (2005), 42 - 48.

  38.  Maria Evelina Rossi, Ngô Việt Trung, Giuseppe Valla, Castelnuovo-Mumford regularity and extended degree, Transactions of the American Mathematical Society, 355 (2003), 1773 - 1786.

  39.  Ngô Việt Trung, Constructive characterization of the reduction numbers, Compositio Mathematica,137 (2003), 99 - 113.

  40.  Nguyen Duc Hoang, Ngô Việt Trung, Hilbert polynomials of non-standard bigraded algebras, Mathematische Zeitschrift , 245 (2003), 309 - 334. 4.

  41.  Lê Tuấn Hoa, Ngô Việt Trung, Borel-fixed ideals and reduction number, Journal of Algebra, 270 (2003), N0 1, 335 - 346.

  42.  Jürgen Herzog, Lê Tuấn Hoa, Ngô Việt Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Transactions of the American Mathematical Society, 354 (2002), 1793 - 1809 (electronic)

  43.  Winfried Bruns, Joseph Gubeladze, Ngô Việt Trung, Problems and algorithms for affine semigroups, Semigroup Forum 64 (2002), 180 - 212.

  44.  Ngô Việt Trung, Evaluations of initial ideals and Castelnuovo-Mumford regularity., Proceedings of the American Mathematical Society, 130 (2002), 1265 - 1274 (electronic).

  45.  Jürgen Herzog, Dorin Popescu, Ngô Việt Trung, Regularity of Rees algebras, Journal of the London Mathematical Society, (2) 65 (2002), 320 - 338.

  46.  Ngô Việt Trung, Groebner bases, local cohomology and reduction number, Proceedings of the American Mathematical Society, 129 (2001), 9 - 18.

  47.  Ngô Việt Trung, Positivity of mixed multiplicities, Mathematische Annalen, 319 (2001), 33 - 63

  48.  Aldo Conca, Ngô Việt Trung, Giuseppe Valla, Koszul property for points in projective spaces, Mathematica Scandinavica, 89 (2001), 201 - 216.

  49.  Ngô Việt Trung, Lectures on linear algebra (in Vietnamese), Giáo trình đại số tuyến tính. NXB ĐHQG Hà Nội, 2001, 272 trang.

  50.  Ngô Việt Trung, Castelnuovo-Mumford regularity and analytic deviation of ideals, Journal of the London Mathematical Society, (2) 62 (2000), 41 - 55.

  51.  Dam Van Nhi, Ngô Việt 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

  52.  Dam Van Nhi, Ngô Việt Trung, Specialization of modules, Communications in Algebra, 27 (1999), 2959 - 2978.

  53.  Steven Dale Cutkosky, Jürgen Herzog, Ngô Việt Trung, Asymptotic behaviour of Castelnuovo-Mumford regularity, Compositio Mathematica, 118 (1999), 243 - 261

  54.  Ngô Việt Trung, The largest non-vanishing degree of graded local cohomology modules, Journal of Algebra, 215 (1999), 481 - 499.

  55.  Aron Simis, Ngô Việt Trung, Giuseppe Valla, The diagonal subalgebras of a blow-up ring, Journal of Pure and Applied Algebra, 125 (1998), 305 - 328.

  56.  Ngô Việt Trung, The Castelnuovo regularity of the Rees algebra and the associated graded ring, Transactions of the American Mathematical Society, 350 (1998), 2813 - 2832.

  57.  Lê Tuấn Hoa, Ngô Việt Trung, On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals, Mathematische Zeitschrift, 229 (1998), 519 - 537.

  58.  Aldo Conca, Jürgen Herzog, Ngô Việt Trung, Giuseppe Valla, Diagonal subalgebras and embbedings of blow-ups of projective spaces, American Journal of Mathematics, 119 (1997), 859 - 901.

  59.  Ngô Việt Trung, Winfried Bruns, Joseph Gubeladze, Normal polytopes, triangulations and Koszul algebras, Journal reine angew Mathematik, 485 (1997), 123 - 160.

  60.  Ngô Việt Trung, On the lifting of determinantal ideals, Manuscripta Mathematica, 91 (1996), 467 - 481

  61.  Ngô Việt Trung, Craig Huneke, J. Aberbach, Reduction numbers, Briancon-Skoda theorem and the depth of Rees rings, Compositio Mathematica, 97 (1995), 403 - 434.

  62.  Ngô Việt Trung, Giuseppe Valla, Upper bounds for the regularity index of fat points with uniform position property, Journal of Algebra, 176 (1995), 182 - 209.

  63.  Bernd Sturmfels, Ngô Việt Trung, Wolfgang Vogel, Bounds on degrees of projective schemes, Mathematische Annalen, 302 (1995), 417 - 432

  64.  Ngô Việt Trung, Giuseppe Valla, On zero-dimensional subschemes of complete intersections, Mathematische Zeitschrift, 219 (1995), 187 - 201.

  65.  Ngô Việt Trung, Manfred Herrmann, Eero Hyry, Jürgen Ribbe, On multi-Rees algebras, Mathematische Annalen, 301 (1995), 249 - 279.

  66.  Ngô Việt Trung, Duong Quoc Viet, Santiago Zarzuela, When is the Rees algebra Gorenstein?, Journal of Algebra, 175 (1995), 137 - 156.

  67.  Aron Simis, Ngô Việt Trung, Giuseppe Valla, Commutative algebra (ICTP, Trieste 1992), World Scientific, 1994.

  68.  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.

  69.  Ngô Việt Trung, An algebraic approach to the regularity index of fat points in ${\bf P}^n$, Kodai Mathematical Journal, J. 17 (1994), 382 - 389.

  70.  Jürgen Herzog, Giuseppe Valla, Ngô Việt Trung, On hyperplane sections of reduced irreducible varieties of low codimension, Journal of Mathematics of Kyoto University, 34 (1994), 47 - 72.

  71.  Maria Virginia Catalisano, Ngô Việt 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.

  72.  Ngô Việt 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

  73.  Manfred Herrmann, Ngô Việt Trung, Examples of Buchsbaum quasi-Gorenstein rings, Proceedings of the American Mathematical Society, 117 (1993), 619 - 625.

  74.  Ngô Việt 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.

  75.  Jürgen Herzog, Ngô Việt 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.

  76.  Jürgen Herzog, Ngô Việt Trung, Grobner bases and multiplicity of determinantal and Pfaffian ideals, Advances in Mathematics, 96 (1992), 1 - 37.

  77.  Manfred Herrmann, Jürgen Ribbe, Ngô Việt Trung, Rees algebras of non-singular equimultiple prime ideals, Nagoya Mathematical Journal, 124 (1991), 1 - 12.

  78.  Winfried Bruns, Aron Simis, Ngô Việt Trung, Blow-ups of straightening closed ideals in ordinal Hodge algebras, Transactions of the American Mathematical Society, 326 (1991), 507 - 528.

  79.  Manfred Herrmann, Jürgen Ribbe, Ngô Việt Trung, Santiago Zarzuela, Bounds for the multiplicity of almost complete intersections, Manuscripta mathematica, 72 (1991), 275 - 296

  80.  Ngô Việt Trung, On the presentation of Hodge algebras and the existence of Hodge algebra structures, Communications in Algebra, 19 (1991), 1183 - 1195.

  81.  Morales Marcel, Ngô Việt 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.

  82.  Ngô Việt Trung, Giuseppe Valla, The Cohen-Macaulay type of points in generic position, Journal of Algebra, 125 (1989), 110 - 119

  83.  Ngô Việt Trung, Shin Ikeda, When is the Rees algebra Cohen-Macaulay?, Communications in Algebra, 17 (12) (1989), 2893 - 2922.

  84.  Ngô Việt Trung, Giuseppe Valla, Degree bounds for the defining equations of arithmetically Cohen-Macaulay varieties, Mathematische Annalen, 281 (1988), 479 - 491.

  85.  Aron Simis, Ngô Việt Trung, The divisor class group of ordinary and symbolic blow-ups, Mathematische Zeitschrift, 198 (1988), 479 - 491.

  86.  Lê Tuấn Hoa, Ngô Việt Trung, Corrigendum to “Affine semigroups and Cohen-Macaulay rings generated by monomials, Transactions of the American Mathematical Society, 305 (1988), 857.

  87.  Ngô Việt 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.

  88.  Ngô Việt Trung, Reduction exponent and degree bounds for the defining equations of graded rings, Proceedings of the American Mathematical Society, 101 (1987), 229 - 236.

  89.  Ngô Việt Trung, Lê Tuấn Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials, Transactions of the American Mathematical Society, 298 (1986), 145 - 167.

  90.  Ngô Việt Trung, Towards a theory of generalized Cohen-Macaulay modules, Nagoya Mathematical Journal, 102 (1986), 1 - 49.

  91.  Ngô Việt Trung, Maximum number of independent elements and dimension of prime divisors in completions of local rings, Journal of Algebra, 93 (1985), 418 - 438.

  92.  Ngô Việt Trung, Projections of one-dimensional Veronese varieties, Mathematische Nachrichten, 118 (1984), 47 - 67.

  93.  Ngô Việt Trung, Degree bounds for the defining equations of projective monomial curves, Acta Mathematica Vietnamica, 9 (1984), 157 - 163.

  94.  Ngô Việt Trung, From associated graded modules to blowing-ups of generalized Cohen-Macaulay modules, Journal of Mathematics of Kyoto University, 24 (1984), 611 - 622.

  95.  Ngô Việt Trung, Bounds for the minimum number of generators of generalized Cohen-Macaulay ideals, Journal of Algebra, 90 (1984), 1 - 9.

  96.  Ngô Việt Trung, On tensor products of extensions of a field, Quarterly Journal of Mathematics, 35 (1984), 337 - 339.

  97.  Ngô Việt Trung, Absolutely superficial sequence, Mathematical Proceedings of the Cambridge Philosophical Society, 93 (1983), 35 - 47.

  98.  Ngô Việt Trung, Classification of the double projections of Veronese varieties, Journal of Mathematics of Kyoto University, 22 (1983), 567 - 581.

  99.  Ngô Việt 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.

  100.  Ngô Việt Trung, On certain transitivity of the graded ring associated with an ideal, Proceedings of the American Mathematical Society, 85 (1982), 489 - 495.

  101.  Ngô Việt Trung, On the associated graded ring of a Buchsbaum ring, Mathematische Nachrichten, 107 (1982), 489 - 495.

  102.  Ngô Việt Trung, Principal systems of ideals., Acta Math Vietnam. 6 (1981), 57 - 63

  103.  Ngô Việt Trung, A characterization of two dimensional unmixed local domains, Mathematical Proceedings of the Cambridge Philosophical Society 89 (1981), 237 - 239

  104.  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

  105.  Ngô Việt Trung, Der graduierte Ring bezuglich des Primideals von Macaulay, Beitr. Algebra Geometrie 11 (1981), 35 - 40

  106.  Nguyễn Tự Cường, Ngô Việt Trung, Uber schwache Sequenzen, Period. Math. Hungar. 11 (1981), 77 - 80

  107.  Ngô Việt Trung, Some criteria for Buchsbaum modules, Monatsh. Math. 90 (1980), 331 - 337

  108.  Ngô Việt Trung, Spezialisierungen allgemeiner Hyperflọchenschnitte und Anwendungen, In: Seminar D. Eisenbud - B. Singh - W. Vogel, Vol. I, Teubner-Verlag, Leipzig, 1980, 4 - 43

  109.  Ngô Việt Trung, Über allgemeine Hyperflächenschnitte einer algebraischen Varietät, Monatsh. Math. 89 (1980), 323 - 340

  110.  Ngô Việt Trung, On the symbolic powers of determinantal ideals, J. Algebra 58 (1979), 361 - 369

  111.  Ngô Việt Trung, Uber die ubertragung der Ringeigenschaften zwischen R und R[u]/(F), Math. Nachr. 92 (1979), 215 - 229

  112.  Peter Schenzel, Ngô Việt Trung, Nguyễn Tự Cường, Uber verallgemeinerte Cohen- Macaulay Moduln, Math. Nachr. 85 (1978), 57 - 73