Nguyễn Tự Cường
GS. TSKH.
Hướng nghiên cứu: Đại số giao hoán; Hình học đại số; Lý thuyết kỳ dị
Lý lịch khoa học
Liên hệ
Phòng làm việc: 410, Nhà A6
Điện thoại: +84 4 38361121 /410
Email: ntcuong AT math.ac.vn
Lý lịch khoa học
Năm sinh: 25/12/1951
Nơi sinh: Hà Tĩnh
- Đại học: 1974, ĐH Tổng hợp Martin-Luther, Halle, CHLB Đức
- Tiến sĩ: năm, 1982, ĐH Tổng hợp Humboldt, Berlin, CHLB Đức
- Tiến sĩ khoa học: 1995, Viện Toán học, VAST, Việt Nam
- Phó giáo sư: 1996
- Giáo sư: 2003
Chuyên ngành: Đại số và Lý thuyết số
Các vị trí công tác đã qua
- Trưởng phòng Đại số
- Giám đốc Trung tâm đào tạo sau đại học, Viện Toán học
- Phó Tổng biên tập tạp chí Vietnam Journal of Mathematics
- Tổng biên tập tạp chí Acta Mathematica Vietnamica
Các lĩnh vực quan tâm: Đại số giao hoán; Hình học đại số; Lý thuyết kỳ dị
Giải thưởng
- Giải thưởng Hồ Chí Minh về Khoa học và Công nghệ năm 2016 (chung với GS Lê Tuấn Hoa và GS Ngô Việt Trung)
Đào tạo
Graduated Ph.D. students
- Nguyen Duc Minh (1995)
- Tran Tuan Nam (2001)
- Le Thanh Nhan (2001)
- Nguyen Thai Hoa (2003)
- Nguyen Thi Hong Loan (2004)
- Nguyen Tuan Long
- Nguyen Thi Dung (2005)
- Doan Trung Cuong (2007)
- Nguyen Van Hoang (2009)
- Tran Nguyen An (2011)
- Pham Huu Khanh (2012)
- Hoang Le Truong (2013)
- Pham Hung Quy
- Trần Đức Dũng
Các công bố khoa học
Ấn phẩm
- 1. Nguyễn Tự Cường, Phạm Hùng Quý, 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. Nguyễn Tự Cường, Nguyễn Tuấn Long, Hoàng Lê Trường, On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules, Journal of Algebra and Its Applications, 23, No.3 (2024), 2450055 (18 pages) (2024)
- 3. Nguyễn Tự Cường, Phạm Hùng Quý, 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. Nguyễn Tự Cường, Phạm Hùng Quý, On the Index of Reducibility of Parameter Ideals: the Stable and Limit Values, Acta Mathematica Vietnamica, 45(2020), 249–260 (2020)
- 5. Nguyễn Tự Cường, Phạm Hùng Quý, Hoàng Lê Trường, The index of reducibility of powers of a standard parameter ideal, Journal of Algebra and Its Applications 18 (2019), 1950048, 17 pp (2019)
- 6. Nguyễn Tự Cường, Đoàn Trung Cường, Local Cohomology Annihilators and Macaulayfication, Acta Mathematica Vietnamica, 42 (2017),pp 37–60 (2017)
- 7. Nguyễn Tự Cường, Nguyễn Tuấn Long, Hoàng Lê Trường, Uniform bounds in sequentially generalized Cohen-Macaulay modules, Vietnam Journal of Mathematics, 45 (2015), 343-356 (2015)
- 8. Nguyễn Tự Cường, Phạm Hùng Quý, Hoàng Lê Trường, On the index of reducibility in Noetherian modules, Journal of Pure and Applied Algebra, 219 (2015), 4510-4520 (2015)
- 9. Nguyễn Tự Cường, Shiro Goto, Nguyễn Văn Hoàng, On the cofiniteness of generalized local cohomologymodules, Kyoto Journal of Mathematics, 55 (2015), 169-185 (2015)
- 10. Nguyễn Tự Cường, Nguyễn Văn Hoàng, 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. Nguyễn Tự Cường, Shiro Goto, Hoàng Lê Trường, Hillbert coefficients and sequentially Cohen-Macaulay modules, Journal of Pure and Applied Algebra 217 (2013), 470–480 (2013)
- 12. Nguyễn Tự Cường, Hoàng Lê Trường, Shiro Goto, The equality $I^2 =qI$ in sequentially Cohen-Macaulay rings, Journal of Algebra, 379 (2013), 50 - 79 (2013)
- 13. Nguyễn Tự Cường, Phạm Hùng Quý, A splitting theorem for local cohomology and its applications, Journal of Algebra 331 (2011), 512 -- 522 (2011)
- 14. Nguyễn Tự Cường, Pham Huu Khanh, On some asymptotic properties of finitely generated modules, Acta Mathematica Vietnamica 36 (2011), 183 -- 192 (2011)
- 15. Nguyễn Tự Cường, Nguyễn Văn Hoàng, 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. Nguyễn Tự Cường, Đoàn Trung Cường, Hoàng Lê Trường, On a new invariant of finitely generated modules over local rings, Journal of Algebra and its Applications 9 (2010), 959 -- 976 (2010)
- 17. Nguyễn Tự Cường, Lê Thị Thanh Nhàn, 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. Nguyễn Tự Cường, Hoàng Lê Trường, Parametric decomposition of parameter ideals and sequentially Cohen-Macaulay modules, Proceedings of the American Mathematical Society, 137 (2009), 19-26 (2009)
- 19. Nguyễn Tự Cường, Hoàng Lê Trường, Asymptotic behavior of parameter ideals in generalized Cohen-Macaulay modules, Journal of Algebra, 320 (2008), 158 - 168. (2008)
- 20. Nguyễn Tự Cường, Nguyễn Văn Hoàng, On the vanishing and the finiteness of supports of generalized local cohomology modules, Manuscripta Mathematica, 126 (2008), 59 - 72 (2008)
- 21. Nguyễn Tự Cường, Tran Tuan Nam, A local homology theory for linearly compact modules, Journal of Algebra, 319 (2008),4712 - 4737 (2008)
- 22. Nguyễn Tự Cường, Đoàn Trung Cường, On sequentially Cohen-Macaulay modules, Kodai Mathematical Journal, 30 (2007), 409 - 428 (2007)
- 23. Nguyễn Tự Cường, Nguyen Thi Dung, Lê Thị Thanh Nhàn, Generalized co-Cohen-Macaulay and co-Buchsbaum modules, Algebra Colloquium, 14 (2007), 265 – 278 (2007)
- 24. Nguyễn Tự Cường, Đoàn Trung Cường, dd-sequences and partial Euler-Poincare characteristics of Koszul complex, Journal of Algebra and Its Applications, 6 (2007), 207 - 231 (2007)
- 25. Nguyễn Tự Cường, Nguyen Thi Dung, Lê Thị Thanh Nhàn, Top local cohomology and the catenaricity of the unmixed support of a finitely generated module, Communications in Algebra, 35 (2007), 1691 - 1701 (2007)
- 26. Đoàn Trung Cường, Nguyễn Tự Cường, On the structure of sequentially generalized Cohen-Macaulay modules, Journal of Algebra, 317 (2007), 714 - 742 (2007)
- 27. Nguyễn Tự Cường, Nguyen Thi Hong Loan, A blowing-up characterization of pseudo Buchsbaum modules, Vietnam Journal of Mathematics, 34 (2006), 449 - 458 (2006)
- 28. Nguyễn Tự Cường, Nguyễn Văn Hoàng, Some finite properties of generalized local cohomology modules, East-West Journal of Mathematics, 7 (2005), 107 - 115. (2005)
- 29. Nguyễn Tự Cường, Nguyen Thi Hong Loan, A characterization for pseudo Buchsbaum modules, Japanese journal of mathematics. New series, 30 (2004), 165 - 181. (2004)
- 30. Nguyễn Tự Cường, Morales Marcel, Lê Thị Thanh Nhàn, 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. Nguyễn Tự Cường, Lectures on modern algebra (in Vietnamese) - Giáo trình đại số hiện đại, NXB Đại học Quốc gia, Hà Nội, 2003, 183 trang. (2003)
- 32. Nguyễn Tự Cường, Lê Thị Thanh Nhàn, Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules, Journal of Algebra, 267 (2003), 156 - 177. (2003)
- 33. Nguyễn Tự Cường, Morales Marcel, Lê Thị Thanh Nhàn, On the length of generalized fractions, Journal of Algebra, 265 (2003), 100 - 113. (2003)
- 34. Nguyễn Tự Cường, Đoàn Trung Cường, dd-sequences and partial Euler-Poincaré characteristics of Koszul complex, Vietnam Journal of Mathematics, 31 (2003), N0 3, 353 - 358 (2003)
- 35. Nguyễn Tự Cường, Nguyen Thai Hoa, Parametrical Characterizations for Pseudo and Sequentially Cohen-Macaulay Modules, Vietnam Journal of Mathematics, 30 (2002), 417-420. (2002)
- 36. Nguyễn Tự Cường, Lê Thị Thanh Nhàn, On the Noetherian dimension of Artinian modules, Vietnam Journal of Mathematics, 30 (2002), 121 - 130. (2002)
- 37. Nguyễn Tự Cường, Nguyen Thi Hong Loan, On pseudo-Buchsbaum modules, Vietnam Journal of Mathematics, 30 (2002), 299 - 303. (2002)
- 38. Nguyễn Tự Cường, Lê Thị Thanh Nhàn, On representable linearly compact modules, Proceedings of the American Mathematical Society, 130 (2002), 1927 - 1936 (electronic). (2002)
- 39. Nguyễn Tự Cường, 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. Nguyễn Tự Cường, Lê Thanh Nhàn, On modules whose local cohomology modules have generalized Cohen-Macaulay Matlis duals, East-West J. Math. 3 (2001), 109 - 123. (2001)
- 41. Nguyễn Tự Cường, 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. Nguyễn Tự Cường, 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. Nguyễn Tự Cường, Lê Thị Thanh Nhàn, On representable linearly compact modules, Vietnam Journal of Mathematics, 28 (2000), 291 - 294. (2000)
- 44. Nguyễn Tự Cường, Tran Tuan Nam, Local homology modules for linearly compact modules, Vietnam Journal of Mathematics, 28 (2000), 87 - 91 (2000)
- 45. Vũ Thế Khôi, Nguyễn Tự Cường, 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. Nguyễn Tự Cường, Dimension, multiplicity and Hilbert function of Artin modules, East-West J. Math. 2 (1999), 179 - 196. (1999)
- 47. Nguyễn Tự Cường, 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. Nguyễn Tự Cường, Remarks on the non-Cohen-Macaulay locus of Noetherian schemes, Proceedings of the American Mathematical Society, 126 (1998), 1017 - 1022. (1998)
- 49. Nguyễn Tự Cường, Nguyen Duc Minh, On the length of generalized fractions of modules having polynomial type <= 2, Vietnam J. Math. 26 (1998), 87 - 90. (1998)
- 50. Nguyễn Tự Cường, Vũ Thế Khôi, A lower bound for index of reducibility of parameter ideals in local rings, Vietnam J. Math. 25 (1997), 341 - 347. (1997)
- 51. Nguyễn Tự Cường, 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. Nguyễn Tự Cường, Vũ Thế Khôi, On the partial Euler-Poincare characteristic of certain systems of parameters in local rings, Mathematische Zeitschrift, 222 (1996), 383 - 390. (1996)
- 53. Nguyễn Tự Cường, P-standard systems of parameters and p-standard ideals in local rings, Acta Mathematica Vietnamica, 20 (1995), N0 1, 146 - 161. (1995)
- 54. Nguyễn Tự Cường, 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. Nguyễn Tự Cường, 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. Nguyễn Tự Cường, 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. Nguyễn Tự Cường, On the length of the powers of a system of parameters in local rings, Nagoya Mathematical Journal, 120 (1990), 77 - 88. (1990)
- 58. Nguyễn Tự Cường, Ngô Việt Trung, Uber schwache Sequenzen, Period. Math. Hungar. 11 (1981), 77 - 80 (1981)
- 59. Nguyễn Tự Cường, Trivialite des deploiements de reseaux holomoes. Bull. Math, France Memoire 6 (1981), 78 - 85 (1981)
- 60. Peter Schenzel, Ngô Việt Trung, Nguyễn Tự Cường, Uber verallgemeinerte Cohen- Macaulay Moduln, Math. Nachr. 85 (1978), 57 - 73 (1978)
- 61. Hà Huy Vui, Nguyễn Tự Cường, Nguyễn Hữu Đức, A rostkax beskonechnoi opredelenosti, Acta Math. Vietmam. 3 (1978), 43 - 50 (1978)
- 62. Hà Huy Vui, Nguyễn Tự Cường, Nguyễn Hữu Đức, Sur les germes de functions infiniment determines, C. R. Acad. Sc. Paris 285 (1977), 1045 - 1048. (1977)
- 63. Hà Huy Vui, Nguyễn Tự Cường, Sur les germes de functions infiniment determines, C. R. Acad. Sc. Paris 285 (1977), 1045 - 1048 (1977)
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Xem tất cảNgười báo cáo: Claude Sabbah (CNRS, École Polytechnique, Institut Polytechnique de Paris, France)