Nguyen Tu Cuong

Scientific CV

Scientific Publications

Publications

1. 1. Nguyen Tu Cuong, Pham Hung Quy, On the structure of finitely generated modules and the unmixed degrees, Journal of Pure and Applied Algebra Volume 229, Issue 7, July 2025, 108000 (2025)
2. 2. Nguyen Tu Cuong, Nguyen Tuan Long, Hoang Le Truong, On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules, Journal of Algebra and Its Applications, 23, No.3 (2024), 2450055 (18 pages) (2024)
3. 3. Nguyen Tu Cuong, Pham Hung Quy, On the limit closure of a sequence of elements in local rings, Journal of Pure and Applied Algebra 226 (2022), no. 8, Paper No. 107027, 20 pp (2022)
4. 4. Nguyen Tu Cuong, Pham Hung Quy, On the Index of Reducibility of Parameter Ideals: the Stable and Limit Values, Acta Mathematica Vietnamica, 45(2020), 249–260 (2020)
5. 5. Nguyen Tu Cuong, Pham Hung Quy, Hoang Le Truong, The index of reducibility of powers of a standard parameter ideal, Journal of Algebra and Its Applications 18 (2019), 1950048, 17 pp (2019)
6. 6. Nguyen Tu Cuong, Doan Trung Cuong, Local Cohomology Annihilators and Macaulayfication, Acta Mathematica Vietnamica, 42 (2017),pp 37–60 (2017)
7. 7. Nguyen Tu Cuong, Nguyen Tuan Long, Hoang Le Truong, Uniform bounds in sequentially generalized Cohen-Macaulay modules, Vietnam Journal of Mathematics, 45 (2015), 343-356 (2015)
8. 8. Nguyen Tu Cuong, Pham Hung Quy, Hoang Le Truong, On the index of reducibility in Noetherian modules, Journal of Pure and Applied Algebra, 219 (2015), 4510-4520 (2015)
9. 9. Nguyen Tu Cuong, Shiro Goto, Nguyen Van Hoang, On the cofiniteness of generalized local cohomologymodules, Kyoto Journal of Mathematics, 55 (2015), 169-185 (2015)
10. 10. Nguyen Tu Cuong, Nguyen Van Hoang, On the finiteness and stability of certain sets of associated prime ideals of local cohomology modules, Communications in Algebra 42 (2014), 1757–1768 (2014)
11. 11. Nguyen Tu Cuong, Shiro Goto, Hoang Le Truong, Hillbert coefficients and sequentially Cohen-Macaulay modules, Journal of Pure and Applied Algebra 217 (2013), 470–480 (2013)
12. 12. Nguyen Tu Cuong, Hoang Le Truong, Shiro Goto, The equality $I^2 =qI$ in sequentially Cohen-Macaulay rings, Journal of Algebra, 379 (2013), 50 - 79 (2013)
13. 13. Nguyen Tu Cuong, Pham Hung Quy, A splitting theorem for local cohomology and its applications, Journal of Algebra 331 (2011), 512 -- 522 (2011)
14. 14. Nguyen Tu Cuong, Pham Huu Khanh, On some asymptotic properties of finitely generated modules, Acta Mathematica Vietnamica 36 (2011), 183 -- 192 (2011)
15. 15. Nguyen Tu Cuong, Nguyen Van Hoang, Pham Huu Khanh, Asymptotic stability of certain sets of associated prime ideals if local cohomology modules, Communications in Algebra 38 (2010), 4416 -- 4429 (2010)
16. 16. Nguyen Tu Cuong, Doan Trung Cuong, Hoang Le Truong, On a new invariant of finitely generated modules over local rings, Journal of Algebra and its Applications 9 (2010), 959 -- 976 (2010)
17. 17. Nguyen Tu Cuong, Le Thi Thanh Nhan, Nguyen Thi Kieu Nga, On pseudo supports and non-Cohen-Macaulay locus of finitely generated modules, Journal of Algebra, 323 (2010), 3029 -- 3038. (2010)
18. 18. Nguyen Tu Cuong, Hoang Le Truong, Parametric decomposition of parameter ideals and sequentially Cohen-Macaulay modules, Proceedings of the American Mathematical Society, 137 (2009), 19-26 (2009)
19. 19. Nguyen Tu Cuong, Hoang Le Truong, Asymptotic behavior of parameter ideals in generalized Cohen-Macaulay modules, Journal of Algebra, 320 (2008), 158 - 168. (2008)
20. 20. Nguyen Tu Cuong, Nguyen Van Hoang, On the vanishing and the finiteness of supports of generalized local cohomology modules, Manuscripta Mathematica, 126 (2008), 59 - 72 (2008)
21. 21. Nguyen Tu Cuong, Tran Tuan Nam, A local homology theory for linearly compact modules, Journal of Algebra, 319 (2008),4712 - 4737 (2008)
22. 22. Nguyen Tu Cuong, Doan Trung Cuong, On sequentially Cohen-Macaulay modules, Kodai Mathematical Journal, 30 (2007), 409 - 428 (2007)
23. 23. Nguyen Tu Cuong, Nguyen Thi Dung, Le Thi Thanh Nhan, Generalized co-Cohen-Macaulay and co-Buchsbaum modules, Algebra Colloquium, 14 (2007), 265 – 278 (2007)
24. 24. Nguyen Tu Cuong, Doan Trung Cuong, dd-sequences and partial Euler-Poincare characteristics of Koszul complex, Journal of Algebra and Its Applications, 6 (2007), 207 - 231 (2007)
25. 25. Nguyen Tu Cuong, Nguyen Thi Dung, Le Thi Thanh Nhan, Top local cohomology and the catenaricity of the unmixed support of a finitely generated module, Communications in Algebra, 35 (2007), 1691 - 1701 (2007)
26. 26. Doan Trung Cuong, Nguyen Tu Cuong, On the structure of sequentially generalized Cohen-Macaulay modules, Journal of Algebra, 317 (2007), 714 - 742 (2007)
27. 27. Nguyen Tu Cuong, Nguyen Thi Hong Loan, A blowing-up characterization of pseudo Buchsbaum modules, Vietnam Journal of Mathematics, 34 (2006), 449 - 458 (2006)
28. 28. Nguyen Tu Cuong, Nguyen Van Hoang, Some finite properties of generalized local cohomology modules, East-West Journal of Mathematics, 7 (2005), 107 - 115. (2005)
29. 29. Nguyen Tu Cuong, Nguyen Thi Hong Loan, A characterization for pseudo Buchsbaum modules, Japanese journal of mathematics. New series, 30 (2004), 165 - 181. (2004)
30. 30. Nguyen Tu Cuong, Morales Marcel, Le Thi Thanh Nhan, The finiteness of certain sets of attached prime ideals and the length of generalized fractions, Journal of Pure and Applied Algebra, 189 (2004), 109 - 121 (2004)
31. 31. Nguyen Tu Cuong, Lectures on Modern Algebra, Vietnam National University Press, Hanoi, 2003, 183 pages. (2003)
32. 32. Nguyen Tu Cuong, Le Thi Thanh Nhan, Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules, Journal of Algebra, 267 (2003), 156 - 177. (2003)
33. 33. Nguyen Tu Cuong, Morales Marcel, Le Thi Thanh Nhan, On the length of generalized fractions, Journal of Algebra, 265 (2003), 100 - 113. (2003)
34. 34. Nguyen Tu Cuong, Doan Trung Cuong, dd-sequences and partial Euler-Poincaré characteristics of Koszul complex, Vietnam Journal of Mathematics, 31 (2003), N0 3, 353 - 358 (2003)
35. 35. Nguyen Tu Cuong, Nguyen Thai Hoa, Parametrical Characterizations for Pseudo and Sequentially Cohen-Macaulay Modules, Vietnam Journal of Mathematics, 30 (2002), 417-420. (2002)
36. 36. Nguyen Tu Cuong, Le Thi Thanh Nhan, On the Noetherian dimension of Artinian modules, Vietnam Journal of Mathematics, 30 (2002), 121 - 130. (2002)
37. 37. Nguyen Tu Cuong, Nguyen Thi Hong Loan, On pseudo-Buchsbaum modules, Vietnam Journal of Mathematics, 30 (2002), 299 - 303. (2002)
38. 38. Nguyen Tu Cuong, Le Thi Thanh Nhan, On representable linearly compact modules, Proceedings of the American Mathematical Society, 130 (2002), 1927 - 1936 (electronic). (2002)
39. 39. Nguyen Tu Cuong, Tran Tuan Nam, On the co-localization, co-support and co-associated primes of local homology modules, Vietnam Journal of Mathematics, 29 (2001), N0 4, 359 - 368. (2001)
40. 40. Nguyen Tu Cuong, Le Thanh Nhan, On modules whose local cohomology modules have generalized Cohen-Macaulay Matlis duals, East-West J. Math. 3 (2001), 109 - 123. (2001)
41. 41. Nguyen Tu Cuong, Tran Tuan Nam, The I-adic completion and local homology for Artinian modules, Mathematical Proceedings of the Cambridge Philosophical Society, 131 (2001), 61 - 72. (2001)
42. 42. Nguyen Tu Cuong, Nguyen Duc Minh, Length of generalized fractions of modules having small polynomial type, Mathematical Proceedings of the Cambridge Philosophical Society, 128 (2000), 269 - 282. (2000)
43. 43. Nguyen Tu Cuong, Le Thi Thanh Nhan, On representable linearly compact modules, Vietnam Journal of Mathematics, 28 (2000), 291 - 294. (2000)
44. 44. Nguyen Tu Cuong, Tran Tuan Nam, Local homology modules for linearly compact modules, Vietnam Journal of Mathematics, 28 (2000), 87 - 91 (2000)
45. 45. Vu The Khoi, Nguyen Tu Cuong, Modules whose local cohomology modules have Cohen-Macaulay Matlis duals, In: Proceedings of Hanoi Conf. on Commutative Algebra Algebra Geometry and Computational Methods, Editor by D. Eisenbud, Springer Verlag, 1999, 223 - 232. (1999)
46. 46. Nguyen Tu Cuong, Dimension, multiplicity and Hilbert function of Artin modules, East-West J. Math. 2 (1999), 179 - 196. (1999)
47. 47. Nguyen Tu Cuong, Nguyen Thai Hoa, Nguyen Thi Hong Loan, On certain length functions associated to a system of parameters in local rings, Vietnam J. Math. 27 (1999), 259 - 272. (1999)
48. 48. Nguyen Tu Cuong, Remarks on the non-Cohen-Macaulay locus of Noetherian schemes, Proceedings of the American Mathematical Society, 126 (1998), 1017 - 1022. (1998)
49. 49. Nguyen Tu Cuong, Nguyen Duc Minh, On the length of generalized fractions of modules having polynomial type <= 2, Vietnam J. Math. 26 (1998), 87 - 90. (1998)
50. 50. Nguyen Tu Cuong, Vu The Khoi, A lower bound for index of reducibility of parameter ideals in local rings, Vietnam J. Math. 25 (1997), 341 - 347. (1997)
51. 51. Nguyen Tu Cuong, Nguyen Duc Minh, On the lengths of Koszul homology modules and generalized fractions, Mathematical Proceedings of the Cambridge Philosophical Society, 120 (1996), 31 - 42. (1996)
52. 52. Nguyen Tu Cuong, Vu The Khoi, On the partial Euler-Poincare characteristic of certain systems of parameters in local rings, Mathematische Zeitschrift, 222 (1996), 383 - 390. (1996)
53. 53. Nguyen Tu Cuong, P-standard systems of parameters and p-standard ideals in local rings, Acta Mathematica Vietnamica, 20 (1995), N0 1, 146 - 161. (1995)
54. 54. Nguyen Tu Cuong, Nguyen Duc Minh, Openness of locus of points having polynomial types bounded above by a constant, Vietnam J. Math. 20 (1992), 71 - 76. (1992)
55. 55. Nguyen Tu Cuong, On the least degree of polynomials bounding above the differences between lengths and multiplicities of certain systems of parameters in local rings, Nagoya Mathematical Journal, 125 (1992), 105 - 114. (1992)
56. 56. Nguyen Tu Cuong, On the dimension of the non-Cohen-Macaulay locus of local rings admitting dualizing complexes, Mathematical Proceedings of the Cambridge Philosophical Society, 109 (1991), 479 - 488. (1991)
57. 57. Nguyen Tu Cuong, On the length of the powers of a system of parameters in local rings, Nagoya Mathematical Journal, 120 (1990), 77 - 88. (1990)
58. 58. Nguyen Tu Cuong, Ngo Viet Trung, Uber schwache Sequenzen, Period. Math. Hungar. 11 (1981), 77 - 80 (1981)
59. 59. Nguyen Tu Cuong, Trivialite des deploiements de reseaux holomoes. Bull. Math, France Memoire 6 (1981), 78 - 85 (1981)
60. 60. Peter Schenzel, Ngo Viet Trung, Nguyen Tu Cuong, Uber verallgemeinerte Cohen- Macaulay Moduln, Math. Nachr. 85 (1978), 57 - 73 (1978)
61. 61. Ha Huy Vui, Nguyen Tu Cuong, Nguyen Huu Duc, A rostkax beskonechnoi opredelenosti, Acta Math. Vietmam. 3 (1978), 43 - 50 (1978)
62. 62. Ha Huy Vui, Nguyen Tu Cuong, Nguyen Huu Duc, Sur les germes de functions infiniment determines, C. R. Acad. Sc. Paris 285 (1977), 1045 - 1048. (1977)
63. 63. Ha Huy Vui, Nguyen Tu Cuong, Sur les germes de functions infiniment determines, C. R. Acad. Sc. Paris 285 (1977), 1045 - 1048 (1977)