English Version

Prof.dr. Nastasescu Constantin

 


Data si locul nasterii: Nascut in Pucioasa, judetul Dambovita, la 13 martie 1943.

Educatia: A absolvit Facultatea de Matematica la Universitatea din Bucuresti in 1966.
Pozitii academice: A fost asistent in perioada 1967-1972, lector in perioada 1972-1980, conferentiar in perioada 1980-1990 si este profesor din 1990.
Cursuri predate: A tinut seminarii si cursuri de Algebra si programare liniara, Teoria categoriilor, Algebra omologica, Teoria multimilor, Inele graduate, Algebre Hopf la Universitatea din Bucuresti.
A sustinut doctoratul in 1970 cu teza ''Inele semi-artiniene'' la Universitatea din Bucuresti.
Domenii de interes stiintific: Lucreaza in domeniul Algebrei necomutative.
A obtinut premiul ''S. Stoilow'' al Academiei in 1975.
Este recenzent la Mathematical Reviews si Zentralblatt fur Mathematik.

Din anul 1993 este membru corespondent al Academiei Romane.

Carti si manuale

  1. Logica si teoria multimilor, Ed. didactica si pedagogica, 1972. Manual pentru clasa a IX-a, clase speciale (cu M.Becheanu, V.Cazanescu si S.Rudeanu).
  2. Introducere in teoria multimilor, Ed. did. si ped., 1975.
  3. Teoria della Torsionne (in lb. italiana), Consiglio Nazionalle della Richerche, 1974.
  4. Inele, Module, Categorii, Ed. Acad., 1976.
  5. Algebra. Manual pentru clasa a IX-a, Ed. did. si ped. (cu C.Nita si Gh.Rizescu).
  6. Teoria calitativa a ecuatiilor algebrice, Ed. tehnica, 1979 (cu C.Nita).
  7. Algebra. Manual pentru clasa a X-a, Ed. did. si ped. (cu C.Nita si S.Popa).
  8. Algebra. Manual pentru clasa a XI-a, Ed. did. si ped. (cu C.Nita si I.Stanescu).
  9. Exercitii si probleme de algebra, clasa a IX-a si a XI-a, Ed. did. si ped., 1981 (cu C.Nita, M.Brandinburu si C.Joita).
  10. Graded and Filtered and Modules, Lecture Notes in Math., vol.758, Springer Verlag (cu F. Van Oystaeyen).
  11. Graded Ring Theory, North Holland, Amsterdam 1982, Math. Library (cu F.Van Oystaeyen).
  12. Relative Finiteness in Module Theory, Monographs and Textbooks in Pure and Appl. Math., Marcel Dekker, 1984 (cu T.Albu).
  13. Capitole speciale de algebra, Bucuresti, Tipografia Univ., 1982 (cu S.Dancescu).
  14. Teoria dimensiunii in algebra necomutativa, Ed. Acad., 1983.
  15. Complemente de algebra, Ed. stiint. si encicl., 1984 (cu I.D.Ion si C.Nita).
  16. Bazele algebrei, vol. I, Ed. Acad. R.S.R., Bucuresti, 1986 (cu C.Nita si C.Vraciu).
  17. Aritmetica si algebra, Bucuresti, Tipografia Univ., 1986 (cu C.Nita si C.Vraciu).
  18. Dimensions in Algebra, Ed. Reidel (Olanda), 1987 (cu F. Van Oystaenyen).
  19. Culegere de probleme de structuri algebrice pentru liceu, Ed. Acad., 1988 (cu M.Tena, G.Andrei, I.Otarasanu).
  20. Aritmetica si algebra, Ed. did. si ped. Bucuresti, 1993 (cu C.Nita si C.Vraciu).
  21. Bazele algebrei, vol.II, Ed. Acad. Romane, Bucuresti, va aparea (cu C.Nita si C.Vraciu).
  22. Algebre Hopf, Ed. Universitatii din Bucuresti, 1998 (cu S.Dascalescu si S.Raianu), 145 pag.
  23. Semigrupuri. Aplicatii., Edit. Militara, 1995 (cu I.Otarasanu), 173 pag.
  24. Probleme de algebra, rezolvarea problemelor din manualul de clasa a-IX-a (cu C.Nita), 217 pag.
  25. Probleme de algebra, rezolvarea problemelor din manualul de clasa a-X-a (cu C.Nita), 198 pag.
  26. Probleme de algebra, rezolvarea problemelor din manualul de clasa a-XI-a (cu C.Nita), 122 pag.
  27. Hopf Algebras. An Introduction, Monographs and Textbooks in Pure and Appl. Math., Marcel Dekker, 2000, Vol.235 (cu S.Dascalescu si S.Raianu).

Articole stiintifice

  1. Objets noetheriens par rapport a une sous-categorie epaisse d'une categorie abelienne, Revue Roum. Math. Pures et Appl., X, 1965, nr.9, p.1459-1468 (cu C.Nita).
  2. Le groupe de Grothendieck, Revue Roum. Math. Pures et Appl., 11, 1966, p.457-469 (cu C.Nita).
  3. Sur le structure des objets des certaines categories abeliennes, C. R. Acad. Sci. Paris, tom.262, 1966, p.1295-1297 (cu N.Popescu).
  4. Quelques observations sur les topos abeliens, Revue roum. math. pures et appl., XII, nr.4, 1967, p.553-563 (cu N.Popescu).
  5. Sur le centre d'une categorie de Grothendieck, C. R. Acad. Sci. Paris, tom.265, nr.14, seria A-B, 1967, p.373-375 (cu C.Nita).
  6. Le centre d'une categorie de Grothendieck, Revue Roum. Math. Pures et Appl., XIII, 1968, p.821-825.
  7. Sur une classe d'anneaux, C. R. Acad. Sci. Paris, tom 266, p. 966-969, 1968.
  8. Sur une classe d'anneaux reguliers, C. R. Acad. Sci. Paris, tom 266, p.1033-1035, 1968.
  9. Sur les l.c. anneaux, Revue Roum. Math. Pures et Appl., XIII, nr.8, 1968.
  10. Anneaux semi-artiniens, Bull. Soc. Math. France, vol.96, 1968, p.357-368 (cu N.Popescu).
  11. Decompositions primaires dans les anneaux semi-artiniens, Journal of Algebra, New York, 1970, vol.14, nr.2, p.170-181.
  12. Dimension homologique des anneaux semi-artiniens, C. R. Acad. Sci. Paris, tom 268, 1969, p.685-688.
  13. On the localisation Ring of a Ring, Journal of Algebra, New York, 1970, vol.15, nr.1, p. 41-56 (cu N.Popescu).
  14. Quelques remarques sur la dimension homologique des anneaux. Elements reguliers, Journal of Algebra, New York, 1971, vol.19, nr.4, p.470-485.
  15. Inele semi-artiniene, Studii si Cercet. Matem, nr.10, tom 22, 190, p.1435-1507.
  16. Quelques remarques sur une classe d'anneaux, C. R. Acad. Sci. Paris, tom 270, 1970, p.807-809.
  17. Decomposition primaire dans les modules de torsion, C. R. Acad. Sci. Paris, tom 237, 1971 (cu T.Albu).
  18. L'anneau des endomorphismes d'un module de torsion, Journal of Algebra, New York, p.476-481.
  19. Decomposition primaire des modules, Journal of Algebra, New York, 1972, vol.23, p.263-270 (cu T.Albu).
  20. La filtration de Gabriel, Annali Della Scuola Normale Superiore di Pisa, Italia, vol.XXVII, fasc.III, 1973, p.459-470.
  21. La filtrazione di Gabriel II, Rendiconti Sem. Mat. Univ. di Padova, Italia, vol.50, p.189-195.
  22. Punti isolati nello spettro minimali di un anello, Acad. Nazionale dei Lincei, Italia, seria VIII, vol.LIV, fasc.5, 1973, p.677-684.
  23. Modules artihmetiques, Seminar F. Kasch, B. Pereigis, Munchen, nr.11, 1973 (cu T.Albu).
  24. La serie di Loewy di un anello, Revue Roum. Math. Pures et Appl., nr.4, 1974, p.427-433.
  25. La structure des modules par rapport a une topologie additive, Tohoku Math. Journal, vol.26, nr.2, 1974, p.173-201.
  26. Modules arithmetiques, Acta Math. Hungarica, vol.25 , 1974, p.299-311 (cu T.Albu).
  27. Colegumento tra il raticolo degli ideali di un anello e il suo spettro, Univ. di Ferrare (Italia), vol.XIX, 1974, p.87-92.
  28. Decompositions primaires dans les categories de Grothendieck commutatives I, J. fur Reine und Angew. Math., vol.280, 1976, p.172–194 (cu T.Albu).
  29. Decompositions primaires dans les categories de Grothendieck commutatives II, J. fur Reine und Angew. Math., vol.282, 1976, p.172–185 (cu T.Albu).
  30. Modules sur les anneaux de Krull, Revue Roum. Math. Pures et Appl., nr.2, 1976, p.133-142 (cu T.Albu).
  31. Modules sur les anneaux de Krull, Seminar F. Kasch Munchen, 1975 (cu T.Albu).
  32. Decomposition tertiaire et primaire dans les anneaux, Bull. Soc. Math. Roum., tom 18, nr.3-4, 1976, p.339-354.
  33. Quelques observations sur la dimension de Krull, Bull. Soc. Math. Roum., vol.20, 1976, p.291-293.
  34. Modules et anneaux gradues, Revue Roum. Math., nr.7, 1976, p.911-932.
  35. Anneaux semi-simples et theories de torsion stables aux decalages, Revue Roum. Math., nr.4, 1978, p.573-588 (cu Ion D.Ion).
  36. Modules simples sur les anneaux gradues, C. R. Acad. Sci. Paris, 1977.
  37. Decomposition primaire pour anneaux gradues Noetheriens, Symposia Matematica, Roma, 1977, vol.XXI, p.251-258.
  38. Modules s-injectifs, Proceedings of conference Antwerpen Belgia, Marcel Dekker, 1979, vol.51, p.729-740.
  39. Conditions de finitude pour les modules I, Revue Roum. Math., nr.5, 1979, XXIV, p.745-758.
  40. Local cohomology and torsion theory, Seminar Kasch, Munchen, nr. 37, 1979 (cu T.Albu).
  41. Conditions de finitude pour les modules II, Revue Roum. Math., nr.4, 1980, p.615-630.
  42. Modules injectifs de type fini par rapport a une topologie additive, Communications in Algebra, Marcel Dekker, 9 (1), 1981, p.67-79.
  43. Some aspects of non-Noetherian local cohomology, Comm. in Algebra, 8 (16), 1980, p.1539-1566 (cu T.Albu).
  44. Local cohomology and torsion theory, Revue Roum. Math. Pures et Appl., XXVI, nr.1 , 1981, p. 3-14 (cu T.Albu).
  45. Modules D-injectifs sur les anneaux a dimension de Krull, Comm. in Algebra, Marcel Dekker, 9, 1981, p.1395-1426.
  46. Anneaux de quotiens et modules s( D )-injectifs, Comm. in Algebra, Marcel Dekker, 9 (4), 1981, p.401-422.
  47. Theoreme d'Hopkins pour les categories de Grothendieck, Ring Theory, Antwerp, 1980, p.88-93, Lecture Notes in Math. 825, Springer Verlag, Berlin-Heidelberg New York.
  48. D-anneaux et modules D-injectifs. Applications aux Categories Localement Artiniennes, Comm. in Algebra, Marcel Dekker, 9 (19), 1981, p.1981-1996.
  49. On strongly graded rings and crossed products, Comm. in Algebra, Marcel Dekker, 1982, p.25 (cu F. Van Oystaeyen).
  50. Jacobson Radical and Maximal ideals of Normalizing Extensions Applied to Z-graded rings, Comm. in Algebra, 1982, p.9 (cu F. Van Oystaeyen).
  51. Strongly graded rings over a finite group, Comm in Algebra, 1983, p.45, vol.11, nr.10.
  52. Gabriel Dimension of Graded rings, Seminario Matematico di Padova, vol.71, 1984, p.159-208 (cu S.Raianu).
  53. Note on Graded rings with Finiteness Conditions, Comm. in Algebra, Marcel Dekker, 1984, vol.12, nr.13, p.1647-1652 (cu F. Van Oystaeyen).
  54. The Socle of graded modules, Comm. in Algebra, Marcel Dekker, 1983 (cu F. Van Oystaeyen).
  55. Stability Conditions for the Commutative rings with Krull Dimension, Proceeding of Conference, Antwerp 1983, Edit. Reidel (Olanda), 1984, p.391-402 (cu S.Raianu).
  56. Finitness conditions for graded modules (gr-s (D ) -injective modules), vol.100, nr.1, 1986, p.179-190, Jurnal of Algebra (cu S.Raianu).
  57. Graded rings with Finitness conditions II, Comm. in Algebra, 13, 1985, p.603-618 (cu F. Van Oysteayen).
  58. A Remark on Noetherian Injective objects in Comutative Grothendieck Categories, Bull. Soc. Math. Roum. 28, nr.1, 1984.
  59. s (D )-injective modules over a strongly graded ring, Comm. in Algebra 12 (19), 1984, p.2441-2453.
  60. Group rings of graded rings. Applications, J.Pure and Appl. Algebra, 33, 1984, p.313-335.
  61. Group graded rings and smash products, Rend.Sem.Mat.Univ.Padova, 74, 1985, p.129-137 (cu N.Rodino).
  62. The Picard group of an abelian category and the associated graded ring, Rev. Roum. Math.Pures et Appl. 30, 1985, p.241-254 (cu S.Dancescu).
  63. A remark on noetherian injective objects in commutative Grothendieck categories. Addendum., Bull. Math. Soc. Sci. Math. Roum., 29, nr.4, 1985.
  64. The strongly prime radical, Bull. Soc. Math. Belge, 1985, (cu F. Van Oystaeyen).
  65. Arithmetically graded rings revisited, Comm. Algebra 14 (10), 1986, p.1991-2018 (cu F. Van Oystaeyen si E.Nauwelaerts).
  66. The splitting property for graded rings, Comm. Algebra, 14 (3), 1986, p.468-479.
  67. Gabriel dimension of graded rings, II, J. Pure and Appl. Algebra, 50, 1988, p.73-79 (cu S.Raianu).
  68. When is R-gr equivalent with a category of modules?, J. Pure and Appl. Algebra, 51, 1988, p.277-291 (cu C.Menini).
  69. Separable functors and constructions over graded rings, J. Algebra, 123, 1989, p.397-413 (cu M. Van der Bergh si F. Van Oystaeyen). G-sets graded rings and modules, Preprint INCREST, 1987.
  70. Some constructions over graded rings. Applications, J. Algebra, 120, 1989, p.119-138.
  71. Infinite group graded rings, rings of endomorphisms and localization, J. Pure Appl. Alg., 59, 1989, p.125-150 (cu T.Albu).
  72. External homogenization for finitely generated abelian groups, Anal. st. ale Univ. ''Al.I.Cuza'', Iasi, XXXI, s.I a, 1985, (supliment) (cu S.Raianu).
  73. Graded Modules over G-Sets, Math. Zeitschrift, 203, 1990, p.605–627 (cu S.Raianu si F. van Oystaeyen).
  74. Smash Product and Finitess Conditions over Graded Rings, Revue Roum. Math. Pures et Appl., 9, 1989, p.825-837.
  75. Graded modules over G-sets 2, Math. Zeitschrift 207, 1991, p.341-358 (cu F. van Oystaeyen si Liu Shaoxie).
  76. Localization on graded modules, relative Maschke's theorem and applications, Comm. on Algebra 18 (3), 1990, p.811-832 (cu N. Rodino).
  77. Gr-simple modules and gr. Jacobson radical Application, Bull. Math. Soc. Sci.34 (82), 1990, nr.1, p.25-36 (cu C.Menini).
  78. Gr-simple modules and gr-Jacobson radical Application, Bull. Math. Soc. Sci.34 (82), 1990, nr.2, p.25-36 (cu C.Menini) (partea a doua).
  79. Relative Projectivity, Graded Clifford Theory and Appl., J. Algebra 141, 1991, p.484-504 (cu J.L. Gomez Pardo).
  80. Graded Clifford Theory and Duality, J. Algebra 162, 1993, p.28-45 (cu J.L. Gomez Pardo).
  81. Graded T-Rings, Comm. in Algebra 17, 1989, p.3033-3042 (cu S.Dascalescu).
  82. The equation xn=a in left cancellative monoids, Rivista Di matematica Pura et Appl. 9, 1991, p.95-115 (cu S.Dascalescu).
  83. Topological aspects of graded maps, Comm. in Algebra 21, 1993, p.4481-4493 (cu J. Gomez Pardo).
  84. When is HOM (M, ) equal to HOM (M, ) in the category R-gr., Comm. in Algebra 22, 1994, p.3171-3181 (cu J. Gomez Pardo, G.Militaru).
  85. Localization for graded rings and modules. Applications to finiteness condition, Comm. in Algebra 21, 1993, p.963-974 (cu B.Torrecillas).
  86. Relative graded Clifford Theory, J. Pure and Appl. Algebra 105, 1993, p.133-178.
  87. Clifford Theory for subgroups of grading groups, Comm. in Alg. 21, 1993, p.2583-2595 (cu F. van Oystaeyen).
  88. When are Induction and Coinduction Functors isomorphic, Bull. Belg. Math. Soc.1, 1994, p.521-558 (cu C.Menini).
  89. A note on semilocal graded rings, Rev. Roum. Math. Pures et Appl. 40, 1995, p.253-258 (cu M. Beattie si S.Dascalescu).
  90. Gradings of finite support. Application to injective objects, J. Pure and Appl. Algebra 107, 1996, p.193-206 (cu S.Dascalescu, A. Del Rio si F. van Oystaeyen).
  91. Torsion Theories for Coalgebras, J. Pure and Appl. Algebra 97, 1994, p.203-220 (cu B. Torrecillas).
  92. Hereditary Coalgebras, Comm. in Algebra 24, 1996, p.1521-1528 (cu B.Torrecillas si Y.Zhang).
  93. Colocalisation on Grothendieck Categories with Appl. to Coalgebras, J. of Algebra 185, 1996, p.108-124 (cu B.Torrecillas).
  94. Graded Coalgebras, Tsukuba Math. J. 17, 1993, p. 461-479 (cu B.Torrecillas).
  95. Graded Coalgebras and Morita-Takeuchi contexts, Tsukuba Math. J. 19, 1995, p.395-407 (cu S.Dascalescu, S.Raianu si F. van Oysteyen).
  96. A Clifford Theory for Graded Coalgebras: Appl., Journal of Algebra 174, 1995, p.573-586 (cu B.Torrecillas).
  97. Quasi-co-Frobenius Coalgebras, J. of Algebra 174, 1995, p.909-923 (cu J.Gomez Torrecillas).
  98. Comodules Graded by G-Sets and Appl., Comm. in Algebra, 1995 (cu S.Dascalescu, B.Torrecillas, F. van Oystaeyen).
  99. Duality Theorems for Graded Maps and Coalgebras, J. of Algebra, 1997 (cu S.Dascalescu, B.Torrecillas, F. Van Oystaeyen).
  100. Smash Product for G-Sets, Clifford Theory and Duality Theorems, Bull. Belg. Math. Soc. 2, 1995, p.389-398 (cu F. van Oystaeyen si Borong Zhou).
  101. Calby-Fuller Duality between Coalgebras, J. of Algebra, 185, p.527-543, 1996 (cu J. Gomez Torrecillas).
  102. Separable Functors for Coalgebras, Tsukuba Math. J., 1996, ( cu F.Castano, J. Gomez Torrecillas).
  103. Separable Functors for Grothendieck Categories, J. Pure and Appl. Algebra, 127, p.219-230 (1998) (cu F.Castano, J.Gomez Torrecillas).
  104. Comodules Graded by G-Sets and Appl., Comm. in Algebra, 25(1), 159-175 (1997) (cu S.Dascalescu, B.Torrecillas, F. van Oystaeyen).
  105. Frobenius Functors, Comm. in Alg., 1999 (cu F.Castano si J. Gomez Torrecillas).
  106. I. B. N. for Graded rings, Comm. in Alg., Vol. 28, nr. 3 (2000), 1351-1360 (cu B.Torrecillas si F.V. Oystaeyen).
  107. Finiteness Conditions, Co-Frobenius Hopf algebras and Quantum Groups, J. of Algebra 200, p.312-333 (1998) (cu M. Beattie, S. Dascalescu si L. Grunenfelder).
  108. Full grading for Matrix rings, J. of Algebra, 220, 709-728 (1999) (cu S.Dascalescu si B.Torrecillas).
  109. Co-Frobenius Hopf Algebras: Integrals, Doi-Kopinen Modules and injective objects, J. of Algebra, 220, 542-560(1999) (cu S.Dascalescu si B.Torrecillas).
  110. External homogenization for comodule algebras. Application to Maschke's Theorem, Algebras and Representation Theory, Vol.2, nr.3, 211-226 (1999) (cu F.Panaite si F.V. Oystaeyen).
  111. Homological Dimension of Coalgebras and Crossed Coproducts (cu S.Dascalescu si B.Torrecillas) (in curs de aparitie).
  112. Involutory Hopf algebras with non-zero integrals (cu S.Dascalescu si B.Torrecillas) (in curs de aparitie).

Lucrari diverse

  1. Asupra grupurilor finite, Gazeta Matematica, seria A, nr. 4, 1981.
  2. Ecuatia de forma xp=s in grupul simetric Sn (p numar prim), Gazeta Matematica, seria metodica, nr.3-4, 1983 (colab. cu S.Dancescu si M.Tena).
  3. Valoarea maxima a determinantilor unor matrici, Gazeta Matematica, seria metodica, nr.3-4, 1985 (colab. cu I.Otarasanu si C.Radu).
  4. Caracterizarea morfismelor de corpuri, Gazeta Matematica seria metodica, nr.3, 1986.
  5. O aplicatie a grupurilor comutative finite. Gazeta Matematica, seria B, nr.3 (1986), p.99-105.
  6. Calculul puterilor unor elemente intr-un inel necomutativ, Gazeta Matematica nr.3 (1983), p.104-108 (cu M.Tena).
  7. Asupra unei ecuatii matriciale. Gazeta Matematica nr.7-8 (1992), p.244-243 (cu I.Savu).
  8. Valoarea maxima a determinantilor unor matrici de ordin 3. Gazeta Matematica nr.4-5 (1984) (cu S.Dancescu).
  9. Monomorfisme si Epimorfisme in inele, Gazeta Matematica nr. 9(1997), p.476-482 (cu M.Tena).
  10. Computer Matematica nr.1-7 (cu I.Savu).




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