Papers
Papers
Papers
- Quelques applications de la decomposition triangulaire, Publ. Dept. Math. Lyon 3-4 (1967), p.63-68.
- On the algebraic categories, Rev. Roum. Math. Pures et Appl. 13 (1968), p.337-342 (with G.Georgescu).
- Les faisceaux d’une theorie, C.R. Acad. Sci. Paris 269 (1969), p.380-382.
- Sur les categories des (t,T)-faisceaux, C.R. Acad. Sci. Paris 269 (1969), p.413-415.
- Deux extensions des ensembles preordonnes, Rev. Roum. Math. Pures et Appl. 15 (1970), p.569-572 (with N.Manolache).
- Some remarks on complete cogenerated categories, Rev. Roum. Math. Pures et Appl. 15 (1970), p.1027-1033.
- Monoconuri proiective si epiconuri inductive, Stud. Cerc. Mat. 22 (1970), p.641-647.
- Categories de faisceaux, J. of Algebra 18 (1971), p.343-365.
- Les faisceaux d’une classe des morphismes, C.R.Acad. Sci. Paris 272 (1971), p.101-103.
- Cofaisceaux d’une categorie, C.R. Acad. Sci. Paris 272 (1971), p.299-302.
- A strong approximation theorem over discrete valuation rings, Rev. Roum. Math. Pures et Appl. 20 (1975), p.659-692.
- Die strenge Approximationseigenschaft lokaler Ringe, Inventiones Math. 30 (1975), p.145-174 (with G.Pfister).
- 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.
- Algebraically pure morphisms, Rev. Roum. Math. Pures et Appl. 24 (1979), p.947-977.
- Die approximation von Primidealen, Bull. de l’Acad. Polonaise Sci. 27 (1979), p.771-778 (with G.Pfister).
- A remark on two-dimensional local rings with the property of approximation, Math. Z. 173 (1980), p.235-240.
- Approximation properties and existential completeness for ring mophisms, Manuscripta Math. 33 (1981), p.227-282 (with S.Basarab si V.Nica).
- On three dimensional local rings with the property of approximation, Rev. Roum. Math. Pures et Appl. 26 (1981), p.301-307 (with G.Pfister).
- Some extensions of Neron’s p-desingularization and approximation, Rev. Roum Math. Pures et Appl. 26 (1981), p.1299-1304 (with M.Cipu).
- 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.
- On Zariski’s Uniformization Theorem, in Algebraic Geometry, Bucharest 1982, Proceedings, Springer Lect. Notes in Math., p.1056, Berlin 1984.
- Ultraproducts and big Cohen-Macaulay modules, Stud. si Cerc. Mat. 36 (1984), p.424-428 (with C.Mateescu).
- A desingularization theorem of Neron type, Ann. Univ. Ferrara, 30 (1984), p.63-76 (with M.Cipu).
- General Neron desingularization, Nagoya Math. J., 100 (1985), p.97-126.
- A structure theorem on formally smooth morphisms in positive characteristic, J. of Algebra, 100 (1986), p.436-455 (with V.Nica).
- Some stucture theorems for valuation rings, Rev. Roum. Math. Pures Apl., 31 (1986), p.577-582.
- General Neron desingularization and Approximation, Nagoya Math. J., 104 (1986), p.85-115.
- Artin approximation theory and applications, Analele St. ale Univ. Iasi 31 (1985 supliment), p.11-14.
- A certain desingularization Theorem, Analele St. ale Univ. Iasi, 31 (1985 supliment), p.20-22 (with M.Cipu).
- Ultraproducts and Hochster’s modifications, Analele St. ale Univ. Iasi, 31 (1985 supliment), p.26-27 (with C.Mateescu).
- On the structure of formally smooth morphisms, Analele St. ale Univ. Iasi, 31 (1985 supliment), p.33-34 (with V.Nica).
- Algebraic extensions of valued fields, J. of Algebra, 108 (1987), p.513-533.
- Algebrization of deformation of exceptional couples, Rev. Roum. Math. Pures et Appl., 33 (1988), p.251-260 (with M.Roczen).
- Polynomial rings and their projective modules, Nagoya Math. J., 113 (1989), p.121-128.
- Flatness in non-Noetherian ring theory, Rev. Roum. Math. Pures et Appl., 34 (1989), p.839-854.
- Immediate extensions of filtered rings, Annali di Ferrara, 35 (1989), p.35-37 (with W.Morariu).
- Indecomposable Cohen-Macaulay modules and the Brauer-Thrall Conjectures, Proceedings of the Algebra Conference 9-10 June 1988, Brasov.
- Indecomposable Cohen-Macaulay modules and irreductible maps, Compositio Math., 76 (1990), p.277-294 (with M.Roczen).
- Letter to the Editor, General Neron desingularization and approximation, Nagoya Math. J., nr.118 (1990), p.45-53.
- Indecomposable Cohen-Macaulay modules and their multiplicities, Trans, AMS 323 (1989), p.369-387.
- The second Brauer-Thrall conjecture, Manuscripta Math., 71 (1991), p.375- 383 (with M.Roczen).
- Liftings of finite injective dimension modules, Analele Univ. Bucuresti XL (1991), p.65-75.
- Indecomposable generalized Cohen-Macaulay modules, Trans. Amer. Math. Soc. 342 (1994), p.107-136 (with M.Cipu and J.Herzog).
- Relative liftings, J. Pure Appl. Algebra, 108 n.3 (1996).
- Maximal Cohen-Macaulay modules over isolated singularities, J. of Algebra 178 (1995), p.710-732.
- Deformations of maximal Cohen-Macaulay modules, Math. Z., 223 (1996), p.309-332 (with G.Pfister).
- Maximal Cohen-Macaulay modules and their deformations, Analele St. Univ. Constanta, v.II (1994), p.112-119.
- Thom-Sebastiani problems for maximal Cohen-Macaulay modules, Math.Ann., 309 (1997), 677-700 (with J.Herzog).
- Infinitesimal module deformations in the Thom-Sebastiani problem, Archiv der Math. 69 (1997), p.196-208 (with F.Enescu and G.Pfister).
- Hilbert functions and generic forms, Compositio Math. 113 (1998), p.1-22 (with J.Herzog).
- 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).
- Special Cohen-Macaulay modules over singularities of type X^3r+Y^3 , Analele Stiintifice Constanta, 5, no.2 (1997), p.112-119.
- 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).
- 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.
- 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).
- Free resolutions for deformations of maximal Cohen-Macaulay modules, Commun. In Alg., 28 (11) (2000), p.5329-5352 (with L. O’Carroll).
- On a Theorem of Knörrer concerning Cohen-Macaulay modules, J. of Pure and Appl. Alg. (2000) (with L.O’Carroll).
- Betti numbers for p-stable ideals, Communications in Algebra, 28 (3), (2000), p.1515-1531 (with V.Ene and G.Pfister).
- Combinatorics in Algebra and Geometry, Italian Journal of Pure and Appl. Math., no.7 (2000), p.27-32.
- Variations on Neron desingularization, in: Sitzungsberichte der Berliner Mathematischen Gesselschaft, Berlin, 2001, p.143-151.
- Splitting syzygies, J. of Alg. 228 (2000), p.682-709 (with L.O’Carroll).
- On the regularity of p-Borel ideals, Proceedings of AMS 129 (2001), p.2563- 2570 (with J.Herzog).
- Betti numbers and the regularity of p-Borel ideals, Bul. St. Univ. Pitesti, Ser. Mat.Inf., 5 (2001), 1-7.
- Regularity of Rees algebras, J. London Math. Soc., (2) 65, (2002), p.320-338 (with J.Herzog and N.V.Trung).
- 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).
- 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).
- Cohen-Macaulay representation, in Algebra-Representation Theory, Eds. K.W.Roggenkamp and M. Stefanescu, Kluwer, 2001, p.249-256.
- Maximal Cohen-Macaulay modules over the cone of an elliptic curve, J. Alg., 253, (2002), p.209-236 (with R.Laza, G.Pfister).
- Gröbner basis and depth of Rees algebras, Anal. Univ. Ovidius, Constanta, IX (2001), p.81-88.
- 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).
- 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).
- 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).
- On a question of Quillen, Bull. Math. Soc. Sci. Roum., Vol.45 (93), no.3-4 (2002), p.209-212.
- Finite filtrations of modules and shellable multicomplexes, Manuscripta Math., 121, no.3, (2006), p.385-410 (with J. Herzog).
- Extremal Betti numbers and regularity of Borel type ideals, Bull Math. Soc. Sc. Roum. Vol.48 (96), no.1 (2005), p.65-72.
- 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.
- Criterions for shellable multicomplexes, Annalele St. Univ. Ovidius, Constanta, 14(2), (2006), 73-84.
- A monomial cycle basis of Koszul homology modules, J. of Pure and Appl. Algebra, 212(2008), 132-139.
- The strong Lefschetz property and simple extensions, (with J.Herzog), arXiv:math.AC/0506537.
- The strong Lefschetz property and certain complete intersection extensions, Bull. Math. Soc. Sc. Math. Roumanie, 48(96), no.4, (2005), 421-431.
- 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.
- 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.
- Binomial cycle basis on Koszul homology modules, Communications in Algebra, (36), (2008), 1789-1800.
- 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.
- Stanley conjecture in small embedding dimension, (with I.Anwar), J. Algebra (318), (2007), 1027-1031.
- Stanley depth of monomial ideals, in Proceedings of the Sixth Congress of Romanian Mathematicians, vol. I, 2007, 71-74.
- Stanley depth of multigraded modules, Journal of Algebra 321 (2009), 2782- 2797.
- An inequality between depth and Stanley depth, Bull. Math. Soc. Sc. Math. Roumanie 52(100) (2009), 377-382.
- Computing the Stanley depth (with Muhammad Qureshi), Journal of Algebra,323 (2010), 2943-2959.
- Stanley conjecture on intersection of four monomial prime ideals, Communications in Algebra (2013), 4351–4362.
- Bounds of Stanley depth, An. St. Univ. Ovidius. Constanta, 19(2),(2011), 187-194.
- 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
- Graph and depth of a square free monomial ideal, Proceedings of AMS, 140 (2012), 3813-3822.
- Depth and minimal number of generators of square free monomial ideals, An. St. Univ. Ovidius. Constanta, 19(3), (2011), 163-166.
- Depth of factors of square free monomial ideals, Proceedings of AMS, 142 (2014), 1965-1972.
- Upper bounds of depth of monomial ideals, Journal of Commutative Algebra 5(2) , (2012).
- Depth of some square free monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 56(1) (2012), (with A.Zarojanu).
- Depth of some special monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 56(3), (2013), (with A.Zarojanu).
- Three generated, squarefree, monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 58(3), (2013), (with A.Zarojanu).
- Four generated, squarefree, monomial ideals, Lecture Notes in Mathematics -Springer-verlag- 96, (2014), (with A.Popescu)
- Stanley depth on five generated, squarefree, monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 59(107), (2016), 75-99.
- Stanley depth of monomial ideals, Bull. Math. Soc. Sc. Math. Roumanie 58(1), (2014).
- Depth in a pathological case, Bull. Math. Soc. Sc. Math. Roumanie 59(107), 2, (2016), 187-195.
- Around General Neron Desingularization, Journal of Algebra and Its Applications, vol. 16, No. 4, (2017), 1750072 (10 pages).
- 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).
- Artin approximation property and the General Neron Desingularization, Revue Roum. de Math. Pures et App., 62(1), (2017), 171-189.
- Constructive General Neron Desingularization for one dimensional local rings, Journal of Symbolic Computation, 80(3), (2017), 570-580, (with G.Pfister).
- Linear nested Artin approximation theorem for algebraic power series , Preprint arXiv:1511.09275, (2015), (with F. Castro-Jimenez and G. Rond).
- Hilbert Series and Lefschetz Properties of Dimension One Almost Complete Intersections, Communications in Algebra 44(10), (2016), 4467-4482 (with A.Dimca).
- Construction of Neron Desingularization for Two Dimensional Rings, Preprint arXiv:1612.01827, (2016), (with G.Pfister).
- 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).
- 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
- 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).
- Constructive Neron Desingularization of algebras with big smooth locus, Preprint arXiv:1702.01867, (2017) (with Z. Kosar and G. Pfister).
Monographs and Books
Monographs and Books
- Die Approximationseigenschaft lokaler Ringe (with H. Kurke, T. Mostowski, G.Pfister, M.Roczen), Lect. Notes in Math. 634, Springer, Berlin, 1978.
- Henselian rings and Artin approximation property (in Romanian),(with V.Nica), Univ Bucharest Press, 1979.
- Elements of finite group theory (in Romanian),(with C.Vraciu) Ed. Stiintifica Enciclopedica, Bucharest, 1986.
- Cohen-Macaulay rings (in Romanian), in Seminar on Cohen-Macaulay rings and modules, Ed. M. Stefanescu, Tip. Univ. of Iasi, Cap.IV, 1986.
- Cohen-Macaulay modules and homological conjectures (in Romanian), in Actual problems of mathematical research , Tip. Univ. of Bucharest, 101-113, 1992.
- Bounds for Betti numbers, in Combinatorics in Algebra and Geometry, Sem. Ser. in Math. Algebra: 2, Tip. Univ. Ovidius of Constanta, 65-70, 1998.
- Artin approximation, in Handbook of Algebra, vol. 2, Ed. M.Hazewinkel, Elsevier Science, 321-356, 2000.
- Artin Approximation, in Encyclopedia of Mathematics, Suplement II, Ed. M. Hazewinkel, Kluwer Academic Publishers, 30-32, 2000.
- F-rational and strong F-rational rings, in Ed. N. Radu, Tip. Univ. Ovidius of Constanta, 2000.
- Cryptography. Codes. Algorithms (in Romanian) (with C.Gherghe), Ed. Universitatii din Bucuresti, 2005.