Papers

Papers

  1. Quelques applications de la decomposition triangulaire, Publ. Dept. Math. Lyon 3-4 (1967), p.63-68.
  2. On the algebraic categories, Rev. Roum. Math. Pures et Appl. 13 (1968), p.337-342 (with G.Georgescu).
  3. Les faisceaux d’une theorie, C.R. Acad. Sci. Paris 269 (1969), p.380-382.
  4. Sur les categories des (t,T)-faisceaux, C.R. Acad. Sci. Paris 269 (1969), p.413-415.
  5. Deux extensions des ensembles preordonnes, Rev. Roum. Math. Pures et Appl. 15 (1970), p.569-572 (with N.Manolache).
  6. Some remarks on complete cogenerated categories, Rev. Roum. Math. Pures et Appl. 15 (1970), p.1027-1033.
  7. Monoconuri proiective si epiconuri inductive, Stud. Cerc. Mat. 22 (1970), p.641-647.
  8. Categories de faisceaux, J. of Algebra 18 (1971), p.343-365.
  9. Les faisceaux d’une classe des morphismes, C.R.Acad. Sci. Paris 272 (1971), p.101-103.
  10. Cofaisceaux d’une categorie, C.R. Acad. Sci. Paris 272 (1971), p.299-302.
  11. A strong approximation theorem over discrete valuation rings, Rev. Roum. Math. Pures et Appl. 20 (1975), p.659-692.
  12. Die strenge Approximationseigenschaft lokaler Ringe, Inventiones Math. 30 (1975), p.145-174 (with G.Pfister).
  13. Some algorithmic methods in the theory of local complete rings, Bull. Math. de la Soc. Math. de la Roumaine 22 (70), nr.1 (1978), p.61-69.
  14. Algebraically pure morphisms, Rev. Roum. Math. Pures et Appl. 24 (1979), p.947-977.
  15. Die approximation von Primidealen, Bull. de l’Acad. Polonaise Sci. 27 (1979), p.771-778 (with G.Pfister).
  16. A remark on two-dimensional local rings with the property of approximation, Math. Z. 173 (1980), p.235-240.
  17. Approximation properties and existential completeness for ring mophisms, Manuscripta Math. 33 (1981), p.227-282 (with S.Basarab si V.Nica).
  18. On three dimensional local rings with the property of approximation, Rev. Roum. Math. Pures et Appl. 26 (1981), p.301-307 (with G.Pfister).
  19. Some extensions of Neron’s p-desingularization and approximation, Rev. Roum Math. Pures et Appl. 26 (1981), p.1299-1304 (with M.Cipu).
  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., p.1056, Berlin 1984.
  22. Ultraproducts and big Cohen-Macaulay modules, Stud. si Cerc. Mat. 36 (1984), p.424-428 (with C.Mateescu).
  23. A desingularization theorem of Neron type, Ann. Univ. Ferrara, 30 (1984), p.63-76 (with M.Cipu).
  24. General Neron desingularization, Nagoya Math. J., 100 (1985), p.97-126.
  25. A structure theorem on formally smooth morphisms in positive characteristic, J. of Algebra, 100 (1986), p.436-455 (with V.Nica).
  26. Some stucture theorems for valuation rings, Rev. Roum. Math. Pures Apl., 31 (1986), p.577-582.
  27. General Neron desingularization and Approximation, Nagoya Math. J., 104 (1986), p.85-115.
  28. Artin approximation theory and applications, Analele St. ale Univ. Iasi 31 (1985 supliment), p.11-14.
  29. A certain desingularization Theorem, Analele St. ale Univ. Iasi, 31 (1985 supliment), p.20-22 (with M.Cipu).
  30. Ultraproducts and Hochster’s modifications, Analele St. ale Univ. Iasi, 31 (1985 supliment), p.26-27 (with C.Mateescu).
  31. On the structure of formally smooth morphisms, Analele St. ale Univ. Iasi, 31 (1985 supliment), p.33-34 (with V.Nica).
  32. Algebraic extensions of valued fields, J. of Algebra, 108 (1987), p.513-533.
  33. Algebrization of deformation of exceptional couples, Rev. Roum. Math. Pures et Appl., 33 (1988), p.251-260 (with M.Roczen).
  34. Polynomial rings and their projective modules, Nagoya Math. J., 113 (1989), p.121-128.
  35. Flatness in non-Noetherian ring theory, Rev. Roum. Math. Pures et Appl., 34 (1989), p.839-854.
  36. Immediate extensions of filtered rings, Annali di Ferrara, 35 (1989), p.35-37 (with W.Morariu).
  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 irreductible maps, Compositio Math., 76 (1990), p.277-294 (with M.Roczen).
  39. Letter to the Editor, General Neron desingularization and approximation, Nagoya Math. J., nr.118 (1990), p.45-53.
  40. Indecomposable Cohen-Macaulay modules and their multiplicities, Trans, AMS 323 (1989), p.369-387.
  41. The second Brauer-Thrall conjecture, Manuscripta Math., 71 (1991), p.375- 383 (with M.Roczen).
  42. Liftings of finite injective dimension modules, Analele Univ. Bucuresti XL (1991), p.65-75.
  43. Indecomposable generalized Cohen-Macaulay modules, Trans. Amer. Math. Soc. 342 (1994), p.107-136 (with M.Cipu and J.Herzog).
  44. Relative liftings, J. Pure Appl. Algebra, 108 n.3 (1996).
  45. Maximal Cohen-Macaulay modules over isolated singularities, J. of Algebra 178 (1995), p.710-732.
  46. Deformations of maximal Cohen-Macaulay modules, Math. Z., 223 (1996), p.309-332 (with G.Pfister).
  47. Maximal Cohen-Macaulay modules and their deformations, Analele St. Univ. Constanta, v.II (1994), p.112-119.
  48. Thom-Sebastiani problems for maximal Cohen-Macaulay modules, Math.Ann., 309 (1997), 677-700 (with J.Herzog).
  49. Infinitesimal module deformations in the Thom-Sebastiani problem, Archiv der Math. 69 (1997), p.196-208 (with F.Enescu and G.Pfister).
  50. Hilbert functions and generic forms, Compositio Math. 113 (1998), p.1-22 (with J.Herzog).
  51. Maximal Cohen-Macaulay modules over singularities of type X^t+Y^3 , Revue Roum. Math. Pures et Appl., 42, no.7-8 (1997), p.591-619 (with B.Martin and G.Pfister).
  52. Special Cohen-Macaulay modules over singularities of type X^3r+Y^3 , Analele Stiintifice Constanta, 5, no.2 (1997), p.112-119.
  53. A family of Cohen-Macaulay modules over singularities of type X^t + Y^3 , Commun. in Alg., 27(6)(1999), p.2555-2572 (with G.Pfister).
  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), p.237-244.
  55. Steps in the classification of Cohen-Macaulay modules over singularities of type X^t + Y^3 , Algebras and Representation Theory, vol.2, no.2 (1999), p.137-175 (with V.Ene).
  56. Free resolutions for deformations of maximal Cohen-Macaulay modules, Commun. In Alg., 28 (11) (2000), p.5329-5352 (with L. O’Carroll).
  57. On a Theorem of Knörrer concerning Cohen-Macaulay modules, J. of Pure and Appl. Alg. (2000) (with L.O’Carroll).
  58. Betti numbers for p-stable ideals, Communications in Algebra, 28 (3), (2000), p.1515-1531 (with V.Ene and G.Pfister).
  59. Combinatorics in Algebra and Geometry, Italian Journal of Pure and Appl. Math., no.7 (2000), p.27-32.
  60. Variations on Neron desingularization, in: Sitzungsberichte der Berliner Mathematischen Gesselschaft, Berlin, 2001, p.143-151.
  61. Splitting syzygies, J. of Alg. 228 (2000), p.682-709 (with L.O’Carroll).
  62. On the regularity of p-Borel ideals, Proceedings of AMS 129 (2001), p.2563- 2570 (with J.Herzog).
  63. Betti numbers and the regularity of p-Borel ideals, Bul. St. Univ. Pitesti, Ser. Mat.Inf., 5 (2001), 1-7.
  64. Regularity of Rees algebras, J. London Math. Soc., (2) 65, (2002), p.320-338 (with J.Herzog and N.V.Trung).
  65. Explicit linear minimal free resolutions over a natural class of Rees algebras, Archiv Math., 81 (2003), p.636-645 (with J.Herzog and L.O’Carroll).
  66. Maximal Cohen-Macaulay modules over Y_1^3+...+Y_n^3 with few generators, Math. Reports 3 (53), 2 (2001), p.177-185 (with R.Laza and L.O’Carroll).
  67. Cohen-Macaulay representation, in Algebra-Representation Theory, Eds. K.W.Roggenkamp and M. Stefanescu, Kluwer, 2001, p.249-256.
  68. Maximal Cohen-Macaulay modules over the cone of an elliptic curve, J. Alg., 253, (2002), p.209-236 (with R.Laza, G.Pfister).
  69. Gröbner basis and depth of Rees algebras, Anal. Univ. Ovidius, Constanta, IX (2001), p.81-88.
  70. On the Ext-modules of ideals of Borel type, in Commutative Algebra, Interactions with Algebraic Geometry, Eds: L. Avramov et al, Contemporary Math. Nr 331, AMS, Providence, 2003, 171-186 (with J. Herzog, M. Vladoiu).
  71. Rank one maximal Cohen-Macaulay modules over singularities of type Y_1^3 + Y_2^2 + Y_3^3 + Y_4^3 , in Commutative Algebra, Singularities and Computer Algebra, Eds: J. Herzog, V. Vuletescu, NATO Science Series, Vol 115, Kluwer Acad. Publ., Dordrecht-Boston-London, 2003, 141-157 (with V.Ene).
  72. Rank two maximal Cohen-Macaulay modules over singularities of type Y_1^3 + Y_2^2 + Y_3^3 + Y_4^3 , J. Alg., 292, (2005), p.447-491 (with C.Baciu, V.Ene, G.Pfister).
  73. On a question of Quillen, Bull. Math. Soc. Sci. Roum., Vol.45 (93), no.3-4 (2002), p.209-212.
  74. Finite filtrations of modules and shellable multicomplexes, Manuscripta Math., 121, no.3, (2006), p.385-410 (with J. Herzog).
  75. Extremal Betti numbers and regularity of Borel type ideals, Bull Math. Soc. Sc. Roum. Vol.48 (96), no.1 (2005), p.65-72.
  76. Lifting an ideal from a tight Bourbaki sequence and maximal Cohen-Macaulay modules, in NATO Science Series, Vol.196, Kluwer Acad. Publ., Dordrecht-BostonLondon, Eds: G.Pfister, S.Cojocaru, V.Ufnarovski, 2005, 90-103.
  77. Criterions for shellable multicomplexes, Annalele St. Univ. Ovidius, Constanta, 14(2), (2006), 73-84.
  78. A monomial cycle basis of Koszul homology modules, J. of Pure and Appl. Algebra, 212(2008), 132-139.
  79. The strong Lefschetz property and simple extensions, (with J.Herzog), arXiv:math.AC/0506537.
  80. The strong Lefschetz property and certain complete intersection extensions, Bull. Math. Soc. Sc. Math. Roumanie, 48(96), no.4, (2005), 421-431.
  81. Strong Lefschetz property on algebras of embedding dimension three, (with M. Vladoiu), Bull. Math. Soc. Sc. Math. Roumanie, 49(97), no.1, (2006), 75-86.
  82. On the structure of MCM-modules over the ring K[[x, y]]/(x^n), (with V. Ene), Algebras and Representation Theory, ( 11) no.2, (2008), 191-205.
  83. Binomial cycle basis on Koszul homology modules, Communications in Algebra, (36), (2008), 1789-1800.
  84. Sequentially Cohen-Macaulay monomial ideals of embedding dimension four, (with S.Ahmad), Bull. Math. Soc. Sc. Math. Roumanie, 50(98), no.2, (2007), 99-110.
  85. Stanley conjecture in small embedding dimension, (with I.Anwar), J. Algebra (318), (2007), 1027-1031.
  86. Stanley depth of monomial ideals, in Proceedings of the Sixth Congress of Romanian Mathematicians, vol. I, 2007, 71-74.
  87. Stanley depth of multigraded modules, Journal of Algebra 321 (2009), 2782- 2797.
  88. An inequality between depth and Stanley depth, Bull. Math. Soc. Sc. Math. Roumanie 52(100) (2009), 377-382.
  89. Computing the Stanley depth (with Muhammad Qureshi), Journal of Algebra,323 (2010), 2943-2959.
  90. Stanley conjecture on intersection of four monomial prime ideals, Communications in Algebra (2013), 4351–4362.
  91. Bounds of Stanley depth, An. St. Univ. Ovidius. Constanta, 19(2),(2011), 187-194.
  92. Stanley depth and size of a monomial ideal, (with J. Herzog and M. Vladoiu) , Proceedings of AMS, 140 (2012), 493-504, arXiv:AC/1011.6462v1
  93. Graph and depth of a square free monomial ideal, Proceedings of AMS, 140 (2012), 3813-3822.
  94. Depth and minimal number of generators of square free monomial ideals, An. St. Univ. Ovidius. Constanta, 19(3), (2011), 163-166.
  95. Depth of factors of square free monomial ideals, Proceedings of AMS, 142 (2014), 1965-1972.
  96. Upper bounds of depth of monomial ideals, Journal of Commutative Algebra 5(2) , (2012).
  97. Depth of some square free monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 56(1) (2012), (with A.Zarojanu).
  98. Depth of some special monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 56(3), (2013), (with A.Zarojanu).
  99. Three generated, squarefree, monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 58(3), (2013), (with A.Zarojanu).
  100. Four generated, squarefree, monomial ideals, Lecture Notes in Mathematics -Springer-verlag- 96, (2014), (with A.Popescu)
  101. Stanley depth on five generated, squarefree, monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 59(107), (2016), 75-99.
  102. Stanley depth of monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 58(1), (2014).
  103. Depth in a pathological case, Bull. Math. Soc. Sc. Math. Roumanie 59(107), 2, (2016), 187-195.
  104. Around General Neron Desingularization, Journal of Algebra and Its Applications, vol. 16, No. 4, (2017), 1750072 (10 pages).
  105. A method to compute the General Neron Desingularization in the frame of one dimensional local domains, Singularities and Computer Algebra- Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday, Editors Wolfram Decker, Gerhard Pfister, Mathias Schulze, Springer Monograph, (2016), (with A.Popescu).
  106. Artin approximation property and the General Neron Desingularization, Revue Roum. de Math. Pures et App., 62(1), (2017), 171-189.
  107. Constructive General Neron Desingularization for one dimensional local rings, Journal of Symbolic Computation, 80(3), (2017), 570-580, (with G.Pfister).
  108. Linear nested Artin approximation theorem for algebraic power series , Preprint arXiv:1511.09275, (2015), (with F. Castro-Jimenez and G. Rond).
  109. Hilbert Series and Lefschetz Properties of Dimension One Almost Complete Intersections, Communications in Algebra 44(10), (2016), 4467-4482 (with A.Dimca).
  110. Construction of Neron Desingularization for Two Dimensional Rings, Preprint arXiv:1612.01827, (2016), (with G.Pfister).
  111. An uniform General Neron Desingularization in dimension one, Preprint arXiv:1612.03416, to appear in Journal of Algebra and Its Applications (with A.Khalid and G.Pfister).
  112. Nested Artin Strong Approximation Property, Preprint arXiv:1701.09154, to appear in Journal of Pure and Applied Algebra, https://doi.org/10.1016/j.jpaa.2017.05.008 (with Z. Kosar).
  113. Algorithms in the classical Neron Desingularization, Preprint arXiv:1702.01445, to appear in Bull. Math. Soc. Sc. Math. Roumanie, (with A. Khalid and A. Popescu).
  114. Constructive Neron Desingularization of algebras with big smooth locus, Preprint arXiv:1702.01867, (2017) (with Z. Kosar and G. Pfister).

Monographs and Books

  1. Die Approximationseigenschaft lokaler Ringe (with H. Kurke, T. Mostowski, G.Pfister, M.Roczen), Lect. Notes in Math. 634, Springer, Berlin, 1978.
  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. Cohen-Macaulay rings (in Romanian), in Seminar on Cohen-Macaulay rings and modules, Ed. M. Stefanescu, Tip. Univ. of Iasi, Cap.IV, 1986.
  5. Cohen-Macaulay modules and homological conjectures (in Romanian), in Actual problems of mathematical research , Tip. Univ. of Bucharest, 101-113, 1992.
  6. Bounds for Betti numbers, in Combinatorics in Algebra and Geometry, Sem. Ser. in Math. Algebra: 2, Tip. Univ. Ovidius of Constanta, 65-70, 1998.
  7. Artin approximation, in Handbook of Algebra, vol. 2, Ed. M.Hazewinkel, Elsevier Science, 321-356, 2000.
  8. Artin Approximation, in Encyclopedia of Mathematics, Suplement II, Ed. M. Hazewinkel, Kluwer Academic Publishers, 30-32, 2000.
  9. F-rational and strong F-rational rings, in Ed. N. Radu, Tip. Univ. Ovidius of Constanta, 2000.
  10. Cryptography. Codes. Algorithms (in Romanian) (with C.Gherghe), Ed. Universitatii din Bucuresti, 2005.