Dr Dorin Popescu

List of publications

  • 1. Quelques applications de la decomposition triangulaire, Publ. Dept. Math. Lyon 3-4 (1967), 63-68.
  • 2. On the algebraic categories with G.Georgescu), Rev Roum. Math.Pures et Appl., 13(1968),337-342.
  • 3. Les faisceaux d'une theorie, C.R.Acad. Sc.Paris ,269(1969),380-382.
  • 4. Sur les categories des (t,T)-faisceaux, C.R.Acad.Sc.Paris,269(1969), 413-415.
  • 5. Deux extensions des ensembles preordonnees (with N.Manolache), Rev.Roum. Math.Pures et Appl.,15(1970),569-572.
  • 6. Some remarks on complete cogenerated categories, Rev.Roum.Math.Pures et Appl.,15(1970), 1027-1033.
  • 7. Monoconuri proiective si epiconuri inductive (in Romanian), Std. Cerc. Mat., 22 (1970), 641-647.
  • 8. Categories de faisceaux, J. of Alg.,18(1971),343-365.
  • 9. Les faisceaux d'une classe des morphismes, C.R. Acad.Sc.Paris, 272(1971), 101-103.
  • 10. Cofaisceaux d'une categorie, C.R. Acad.Sc.Paris, 272(1971),299-302.
  • 11. A strong approximation theorem over discrete valuation rings, Rev. Roum. Math. Pures et Appl., 20(1975), 659-692.
  • 12. Die strenge Approximationseigenschaft lokaler Ringe (with G.Pfister), Inventiones Math. 30(1975),145-174.
  • 13. Some algorithmic methods in the theory of local complete rings, Bull.Math. de la Soc. Math. de la Roumaine,22(70)no.1(1978),61-69.
  • 14. Algebraically pure morphisms, Rev.Roum.Math.Pures et Appl.,24(1979), 947-977.
  • 15. Die Approximation von Primidealen (with G.Pfister), Bull. de l'Acad. Polonaise Sci.,27(1979), 771-778.
  • 16. A remark on two-dimensional local rings with the property of approximation, Math.Z.,173(1980), 235-240.
  • 17. Approximation properties and existential completeness for ring morphisms (with S.Basarab, V.Nica), Manuscripta Math. 33(1981), 227-282.
  • 18. On three dimensional local rings with the property of approximation (with G.Pfister), Rev.Roum.Math.Pures et Appl., 26(1981),301-307.
  • 19. Some extensions of Neron's p-desingularization and approximation (with M.Cipu), Rev.Roum.Math.Pures et Appl.,26(1981),1299-1304.
  • 20. Global form of Neron's p-desingularization and approximation, Proceedings "Week of Algebraic Geometry", Bucharest,June 30-July 6(1980), Teubner Texte Band 40,Leipzig 1981.
  • 21. On Zariski's Uniformization Theorem, in Algebraic Geometry, Bucharest 1982, Proceedings, Springer Lect.Notes in Math., 1056, Berlin,1984.
  • 22. Ultraproducts and big Cohen-Macaulay modules (with C.Mateescu), Std. Cerc. Mat.,36(1984), 424-428.
  • 23. A desingularization theorem of Neron type (with M.Cipu), Ann.Univ. Ferrara, 30(1984), 63-76.
  • 24. General Neron desingularization, Nagoya Math. J.,100(1985), 97-126.
  • 25. A structure theorem on formally smooth morphisms in positive characteristic (with V.Nica), J. of Alg.,100(1986), 436-455.
  • 26. Some structure theorems for valuation rings, Rev. Roum. Math. Pures et Appl. 31(1986), 577-582.
  • 27. General Neron desingularization and Approximation Nagoya Math. J., 104 (1986), 85-115.
  • 28. Artin approximation theory and applications, Analele St. ale Univ. Iasi, 31(1985 supliment),11-14.
  • 29. A certain desingularization Theorem (with M.Cipu), Analele St. ale Univ. Iasi, 31(1985 supliment),20-22.
  • 30. Ultraproducts and Hochster's modifications (with C.Mateescu), Analele St. ale Univ. Iasi, 31(1985 supliment),26-27.
  • 31. On the structure of formally smooth morphisms (with V.Nica), Analele St. ale Univ. Iasi, 31(1985 supliment),33-34.
  • 32. Algebraic extensions of valued fields, J.of Alg., 108(1987), 513-533.
  • 33. Algebrization of deformations of exceptional couples (with M.Roczen), Rev. Roum.Math. Pure et Appl.,33(1988),251-260.
  • 34. Polynomial rings and their projective modules, Nagoya Math. J.,113(1989) ,121-128.
  • 35. Flatness in non-Noetherian ring theory, Rev.Roum.Math.Pures et Appl.,34(1989), 839-854.
  • 36. Immediate extensions of filtered rings (with W.Morariu), Annali di Ferrara, 35(1989),35-57.
  • 37. Indecomposable Cohen-Macaulay modules and the Brauer-Thrall Conjectures, Proceedings of the Algebra Conference 9-10 June 1988, Brasov.
  • 38. Indecomposable Cohen-Macaulay modules and irreducible maps (with M.Roczen), Compositio Math. 76(1990), 277-294.
  • 39. Letter to the Editor, General Neron desingularization and approximation, Nagoya Math. J.,118(1990),45-53.
  • 40. Indecomposable Cohen-Macaulay modules and their multiplicities, Trans., AMS., 323 (1991), 369-387.
  • 41. The second Brauer-Thrall conjecture (with M.Roczen), Manuscripta Math. 71 (1991), 375-383.
  • 42. Liftings of finite injective dimension modules, Analele Univ.Bucuresti, XL(1991), 65-75.
  • 43. Indecomposable generalized Cohen-Macaulay modules (with M.Cipu, J.Herzog), Trans AMS ,342(1994),107-136.
  • 44. Relative liftings , J. of pure and Appl Alg., 108,n 3(1996).
  • 45. Maximal Cohen-Macaulay modules over isolated singularities, J of Alg., 178(1995), 710-732.
  • 46. Deformations of maximal Cohen-Macaulay modules (with G.Pfister), Math.Z., 223(1996),309-332
  • 47. Maximal Cohen-Macaulay modules and their deformations, Analele Stiintifice Constanta, v II(1994), 112-119.
  • 48. Thom-Sebastiani problems for maximal Cohen-Macaulay modules (with J.Herzog), Math.Ann., 309(1997),677-700.
  • 49. Infinitesimal module deformations in the Thom-Sebastiani problem, (with F. Enescu and G.Pfister), Archiv der Math. 69, 1997,196-208.
  • 50. Hibert functions and generic forms (with J.Herzog), Compositio Math. 113 (1998),1-22.
  • 51. Maximal Cohen-Macaulay modules over singularities of type $X^t+Y^3$ (with B.Martin and G.Pfister), Revue Roum. Math. Pures et Appl.,42, no 7-8 (1997), 591-619.
  • 52. Special Cohen-Macaulay modules over singularities of type $X^{3r}+Y^3$, Analele Stiintifice Constanta,5 (2) (1997),112-119.
  • 53. A family of Cohen-Macaulay modules over singularities of type $X^t+Y^3$, (with G.Pfister), Commun. in Alg., 27(6)(1999), 2555-2572.
  • 54. Variations on Green Theorem concerning the Hilbert functions, in: ``Commutative Algebra and Algebraic Geometry'' editor F.Van Oystaeyen, Dekker Lect. Notes in Pure and Appl. Math. 206(1999), 237-244.
  • 55. Steps in the classification of Cohen-Macaulay modules over singularities of type $X^t+Y^3$ (with V. Ene), Algebras and Representation Theory,vol 2, no 2 (1999), 137-175.
  • 56. Free resolutions for deformations of maximal Cohen-Macaulay modules, (with L. O'Carroll), Commun. in Alg., 28(11) (2000), 5329-5352.
  • 57. On a Theorem of Knorrer concerning Cohen-Macaulay modules, (with L. O'Carroll), J. of Pure and Appl. Alg., (2000)
  • 58. Betti numbers for $p$-stable ideals (with V.Ene and G.Pfister), Commun. in Alg., 28(3),(2000), 1515-1531.
  • 59. Combinatorics in Algebra and Geometry, Italian Journal of Pure and Appl Math., no 7(2000), 27-32.
  • 60. Variations on Neron desingularization, Preprint Edinburgh, 1999, to appear in Proceed. in the Honour of H.Kurke.
  • 61. Splitting syzygies (with L. O'Carroll), J. of Alg. 228(2000),682-709.
  • 62. On the regularity of p-Borel ideals (with J.Herzog), Preprint 1999, to appear in Proceedings of AMS.
  • 63. Betti numbers and the regularity of $p$-Borel ideals, Bul. St. Univ. Pitesti, Ser. Mat.Inf., 5(2000),1-7.
  • 64. Grobner basis and regularity of Rees algebras (with J.Herzog and N.V.Trung), IMAR Prepr. 10/2000, Bucharest.
  • 65. Explicit linear minimal free resolutions over a natural class of Rees algebras (with J.Herzog and L. O'Carroll), Prepr. 2000, Edinburgh.
  • 66. Maximal Cohen-Macaulay modules over $Y_1^3+\ldots+Y_n^3$ with few generators (with R.Laza and L.O'Carroll), IMAR Prepr. 13/2000, Bucharest, to appear in Mathematical Reports (3) 2001.
  • 67. Cohen-Macaulay representation, to appear in Euroconference Rings, Modules and Representations, Constanta 2000.

    Monographs and textbooks

  • 1. Die Approximationseigenschaft lokaler Ringe (with H. Kurke, T. Mostowski, G.Pfister, M.Roczen), Lect. Notes in Math. 634(1978), Springer ,Berlin.
  • 2. Henselian rings and Artin approximation property (in Romanian),(with V.Nica), Univ Bucharest Press ,1979.
  • 3. Elements of finite group theory (in Romanian),(with C.Vraciu) Ed. Stiintifica Enciclopedica, Bucharest, 1986.
  • 4. Artin approximation, in Handbook of Algebra, vol. 2, Ed. M.Hazewinkel, 2000 Elsevier Science, 321-356.
  • 5. Artin Approximation, in Encyclopaedia of Mathematics, Suplement II, Ed. M. Hazewinkel, Kluwer Academic Publishers, 2000, 30-32.
  • 6. Cohen-Macaulay rings (in Romanian), in Seminar on Cohen-Macaulay rings and modules, Ed. M. Stefanescu, Tip. Univ. of Iasi, 1986, Cap.IV.
  • 7. Cohen-Macaulay modules and homological conjectures (in Romanian), in Actual problems of mathematical research , Tip. Univ. of Bucharest, 1992, 101-113.
  • 8. Bounds for Betti numbers, in Combinatorics in Algebra and Geometry, Sem. Ser. in Math. Algebra: 2, Tip. Univ. Ovidius of Constanta, 1998, 65-70.
  • 9. F-rational and strong F-rational rings, in Ed. N. Radu, Tip. Univ. Ovidius of Constanta, 2000.