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Prof.dr. Nastasescu Constantin
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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
- 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).
- Introducere in teoria multimilor, Ed. did. si ped., 1975.
- Teoria della Torsionne (in lb. italiana), Consiglio Nazionalle della Richerche, 1974.
- Inele, Module, Categorii, Ed. Acad., 1976.
- Algebra. Manual pentru clasa a IX-a, Ed. did. si ped. (cu C.Nita si Gh.Rizescu).
- Teoria calitativa a ecuatiilor algebrice, Ed. tehnica, 1979 (cu C.Nita).
- Algebra. Manual pentru clasa a X-a, Ed. did. si ped. (cu C.Nita si S.Popa).
- Algebra. Manual pentru clasa a XI-a, Ed. did. si ped. (cu C.Nita si I.Stanescu).
- 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).
- Graded and Filtered and Modules, Lecture Notes in Math., vol.758, Springer Verlag (cu F. Van Oystaeyen).
- Graded Ring Theory, North Holland, Amsterdam 1982, Math. Library (cu F.Van Oystaeyen).
- Relative Finiteness in Module Theory, Monographs and Textbooks in Pure and Appl. Math., Marcel Dekker, 1984 (cu T.Albu).
- Capitole speciale de algebra, Bucuresti, Tipografia Univ., 1982 (cu S.Dancescu).
- Teoria dimensiunii in algebra necomutativa, Ed. Acad., 1983.
- Complemente de algebra, Ed. stiint. si encicl., 1984 (cu I.D.Ion si C.Nita).
- Bazele algebrei, vol. I, Ed. Acad. R.S.R., Bucuresti, 1986 (cu C.Nita si C.Vraciu).
- Aritmetica si algebra, Bucuresti, Tipografia Univ., 1986 (cu C.Nita si C.Vraciu).
- Dimensions in Algebra, Ed. Reidel (Olanda), 1987 (cu F. Van Oystaenyen).
- Culegere de probleme de structuri algebrice pentru liceu, Ed. Acad., 1988 (cu M.Tena, G.Andrei, I.Otarasanu).
- Aritmetica si algebra, Ed. did. si ped. Bucuresti, 1993 (cu C.Nita si C.Vraciu).
- Bazele algebrei, vol.II, Ed. Acad. Romane, Bucuresti, va aparea (cu C.Nita si C.Vraciu).
- Algebre Hopf, Ed. Universitatii din Bucuresti, 1998 (cu S.Dascalescu si S.Raianu), 145 pag.
- Semigrupuri. Aplicatii., Edit. Militara, 1995 (cu I.Otarasanu), 173 pag.
- Probleme de algebra, rezolvarea problemelor din manualul de clasa a-IX-a (cu C.Nita), 217 pag.
- Probleme de algebra, rezolvarea problemelor din manualul de clasa a-X-a (cu C.Nita), 198 pag.
- Probleme de algebra, rezolvarea problemelor din manualul de clasa a-XI-a (cu C.Nita), 122 pag.
- 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
- 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).
- Le groupe de Grothendieck, Revue Roum. Math. Pures et Appl., 11, 1966, p.457-469 (cu C.Nita).
- Sur le structure des objets des certaines categories abeliennes, C. R. Acad. Sci. Paris, tom.262, 1966, p.1295-1297 (cu N.Popescu).
- Quelques observations sur les topos abeliens, Revue roum. math. pures et appl., XII, nr.4, 1967, p.553-563 (cu N.Popescu).
- 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).
- Le centre d'une categorie de Grothendieck, Revue Roum. Math. Pures et Appl., XIII, 1968, p.821-825.
- Sur une classe d'anneaux, C. R. Acad. Sci. Paris, tom 266, p. 966-969, 1968.
- Sur une classe d'anneaux reguliers, C. R. Acad. Sci. Paris, tom 266, p.1033-1035, 1968.
- Sur les l.c. anneaux, Revue Roum. Math. Pures et Appl., XIII, nr.8, 1968.
- Anneaux semi-artiniens, Bull. Soc. Math. France, vol.96, 1968, p.357-368 (cu N.Popescu).
- Decompositions primaires dans les anneaux semi-artiniens, Journal of Algebra, New York, 1970, vol.14, nr.2, p.170-181.
- Dimension homologique des anneaux semi-artiniens, C. R. Acad. Sci. Paris, tom 268, 1969, p.685-688.
- On the localisation Ring of a Ring, Journal of Algebra, New York, 1970, vol.15, nr.1, p. 41-56 (cu N.Popescu).
- Quelques remarques sur la dimension homologique des anneaux. Elements reguliers, Journal of Algebra, New York, 1971, vol.19, nr.4, p.470-485.
- Inele semi-artiniene, Studii si Cercet. Matem, nr.10, tom 22, 190, p.1435-1507.
- Quelques remarques sur une classe d'anneaux, C. R. Acad. Sci. Paris, tom 270, 1970, p.807-809.
- Decomposition primaire dans les modules de torsion, C. R. Acad. Sci. Paris, tom 237, 1971 (cu T.Albu).
- L'anneau des endomorphismes d'un module de torsion, Journal of Algebra, New York, p.476-481.
- Decomposition primaire des modules, Journal of Algebra, New York, 1972, vol.23, p.263-270 (cu T.Albu).
- La filtration de Gabriel, Annali Della Scuola Normale Superiore di Pisa, Italia, vol.XXVII, fasc.III, 1973, p.459-470.
- La filtrazione di Gabriel II, Rendiconti Sem. Mat. Univ. di Padova, Italia, vol.50, p.189-195.
- Punti isolati nello spettro minimali di un anello, Acad. Nazionale dei Lincei, Italia, seria VIII, vol.LIV, fasc.5, 1973, p.677-684.
- Modules artihmetiques, Seminar F. Kasch, B. Pereigis, Munchen, nr.11, 1973 (cu T.Albu).
- La serie di Loewy di un anello, Revue Roum. Math. Pures et Appl., nr.4, 1974, p.427-433.
- La structure des modules par rapport a une topologie additive, Tohoku Math. Journal, vol.26, nr.2, 1974, p.173-201.
- Modules arithmetiques, Acta Math. Hungarica, vol.25 , 1974, p.299-311 (cu T.Albu).
- Colegumento tra il raticolo degli ideali di un anello e il suo spettro, Univ. di Ferrare (Italia), vol.XIX, 1974, p.87-92.
- Decompositions primaires dans les categories de Grothendieck commutatives I, J. fur Reine und Angew. Math., vol.280, 1976, p.172–194 (cu T.Albu).
- Decompositions primaires dans les categories de Grothendieck commutatives II, J. fur Reine und Angew. Math., vol.282, 1976, p.172–185 (cu T.Albu).
- Modules sur les anneaux de Krull, Revue Roum. Math. Pures et Appl., nr.2, 1976, p.133-142 (cu T.Albu).
- Modules sur les anneaux de Krull, Seminar F. Kasch Munchen, 1975 (cu T.Albu).
- Decomposition tertiaire et primaire dans les anneaux, Bull. Soc. Math. Roum., tom 18, nr.3-4, 1976, p.339-354.
- Quelques observations sur la dimension de Krull, Bull. Soc. Math. Roum., vol.20, 1976, p.291-293.
- Modules et anneaux gradues, Revue Roum. Math., nr.7, 1976, p.911-932.
- Anneaux semi-simples et theories de torsion stables aux decalages, Revue Roum. Math., nr.4, 1978, p.573-588 (cu Ion D.Ion).
- Modules simples sur les anneaux gradues, C. R. Acad. Sci. Paris, 1977.
- Decomposition primaire pour anneaux gradues Noetheriens, Symposia Matematica, Roma, 1977, vol.XXI, p.251-258.
- Modules s-injectifs, Proceedings of conference Antwerpen Belgia, Marcel Dekker, 1979, vol.51, p.729-740.
- Conditions de finitude pour les modules I, Revue Roum. Math., nr.5, 1979, XXIV, p.745-758.
- Local cohomology and torsion theory, Seminar Kasch, Munchen, nr. 37, 1979 (cu T.Albu).
- Conditions de finitude pour les modules II, Revue Roum. Math., nr.4, 1980, p.615-630.
- Modules injectifs de type fini par rapport a une topologie additive, Communications in Algebra, Marcel Dekker, 9 (1), 1981, p.67-79.
- Some aspects of non-Noetherian local cohomology, Comm. in Algebra, 8 (16), 1980, p.1539-1566 (cu T.Albu).
- Local cohomology and torsion theory, Revue Roum. Math. Pures et Appl., XXVI, nr.1 , 1981, p. 3-14 (cu T.Albu).
- Modules D-injectifs sur les anneaux a dimension de Krull, Comm. in Algebra, Marcel Dekker, 9, 1981, p.1395-1426.
- Anneaux de quotiens et modules s( D )-injectifs, Comm. in Algebra, Marcel Dekker, 9 (4), 1981, p.401-422.
- 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.
- D-anneaux et modules D-injectifs. Applications aux Categories Localement Artiniennes, Comm. in Algebra, Marcel Dekker, 9 (19), 1981, p.1981-1996.
- On strongly graded rings and crossed products, Comm. in Algebra, Marcel Dekker, 1982, p.25 (cu F. Van Oystaeyen).
- Jacobson Radical and Maximal ideals of Normalizing Extensions Applied to Z-graded rings, Comm. in Algebra, 1982, p.9 (cu F. Van Oystaeyen).
- Strongly graded rings over a finite group, Comm in Algebra, 1983, p.45, vol.11, nr.10.
- Gabriel Dimension of Graded rings, Seminario Matematico di Padova, vol.71, 1984, p.159-208 (cu S.Raianu).
- Note on Graded rings with Finiteness Conditions, Comm. in Algebra, Marcel Dekker, 1984, vol.12, nr.13, p.1647-1652 (cu F. Van Oystaeyen).
- The Socle of graded modules, Comm. in Algebra, Marcel Dekker, 1983 (cu F. Van Oystaeyen).
- Stability Conditions for the Commutative rings with Krull Dimension, Proceeding of Conference, Antwerp 1983, Edit. Reidel (Olanda), 1984, p.391-402 (cu S.Raianu).
- Finitness conditions for graded modules (gr-s (D ) -injective modules), vol.100, nr.1, 1986, p.179-190, Jurnal of Algebra (cu S.Raianu).
- Graded rings with Finitness conditions II, Comm. in Algebra, 13, 1985, p.603-618 (cu F. Van Oysteayen).
- A Remark on Noetherian Injective objects in Comutative Grothendieck Categories, Bull. Soc. Math. Roum. 28, nr.1, 1984.
- s (D )-injective modules over a strongly graded ring, Comm. in Algebra 12 (19), 1984, p.2441-2453.
- Group rings of graded rings. Applications, J.Pure and Appl. Algebra, 33, 1984, p.313-335.
- Group graded rings and smash products, Rend.Sem.Mat.Univ.Padova, 74, 1985, p.129-137 (cu N.Rodino).
- 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).
- A remark on noetherian injective objects in commutative Grothendieck categories. Addendum., Bull. Math. Soc. Sci. Math. Roum., 29, nr.4, 1985.
- The strongly prime radical, Bull. Soc. Math. Belge, 1985, (cu F. Van Oystaeyen).
- Arithmetically graded rings revisited, Comm. Algebra 14 (10), 1986, p.1991-2018 (cu F. Van Oystaeyen si E.Nauwelaerts).
- The splitting property for graded rings, Comm. Algebra, 14 (3), 1986, p.468-479.
- Gabriel dimension of graded rings, II, J. Pure and Appl. Algebra, 50, 1988, p.73-79 (cu S.Raianu).
- When is R-gr equivalent with a category of modules?, J. Pure and Appl. Algebra, 51, 1988, p.277-291 (cu C.Menini).
- 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.
- Some constructions over graded rings. Applications, J. Algebra, 120, 1989, p.119-138.
- Infinite group graded rings, rings of endomorphisms and localization, J. Pure Appl. Alg., 59, 1989, p.125-150 (cu T.Albu).
- External homogenization for finitely generated abelian groups, Anal. st. ale Univ. ''Al.I.Cuza'', Iasi, XXXI, s.I a, 1985, (supliment) (cu S.Raianu).
- Graded Modules over G-Sets, Math. Zeitschrift, 203, 1990, p.605–627 (cu S.Raianu si F. van Oystaeyen).
- Smash Product and Finitess Conditions over Graded Rings, Revue Roum. Math. Pures et Appl., 9, 1989, p.825-837.
- Graded modules over G-sets 2, Math. Zeitschrift 207, 1991, p.341-358 (cu F. van Oystaeyen si Liu Shaoxie).
- Localization on graded modules, relative Maschke's theorem and applications, Comm. on Algebra 18 (3), 1990, p.811-832 (cu N. Rodino).
- Gr-simple modules and gr. Jacobson radical Application, Bull. Math. Soc. Sci.34 (82), 1990, nr.1, p.25-36 (cu C.Menini).
- 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).
- Relative Projectivity, Graded Clifford Theory and Appl., J. Algebra 141, 1991, p.484-504 (cu J.L. Gomez Pardo).
- Graded Clifford Theory and Duality, J. Algebra 162, 1993, p.28-45 (cu J.L. Gomez Pardo).
- Graded T-Rings, Comm. in Algebra 17, 1989, p.3033-3042 (cu S.Dascalescu).
- The equation xn=a in left cancellative monoids, Rivista Di matematica Pura et Appl. 9, 1991, p.95-115 (cu S.Dascalescu).
- Topological aspects of graded maps, Comm. in Algebra 21, 1993, p.4481-4493 (cu J. Gomez Pardo).
- 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).
- Localization for graded rings and modules. Applications to finiteness condition, Comm. in Algebra 21, 1993, p.963-974 (cu B.Torrecillas).
- Relative graded Clifford Theory, J. Pure and Appl. Algebra 105, 1993, p.133-178.
- Clifford Theory for subgroups of grading groups, Comm. in Alg. 21, 1993, p.2583-2595 (cu F. van Oystaeyen).
- When are Induction and Coinduction Functors isomorphic, Bull. Belg. Math. Soc.1, 1994, p.521-558 (cu C.Menini).
- A note on semilocal graded rings, Rev. Roum. Math. Pures et Appl. 40, 1995, p.253-258 (cu M. Beattie si S.Dascalescu).
- 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).
- Torsion Theories for Coalgebras, J. Pure and Appl. Algebra 97, 1994, p.203-220 (cu B. Torrecillas).
- Hereditary Coalgebras, Comm. in Algebra 24, 1996, p.1521-1528 (cu B.Torrecillas si Y.Zhang).
- Colocalisation on Grothendieck Categories with Appl. to Coalgebras, J. of Algebra 185, 1996, p.108-124 (cu B.Torrecillas).
- Graded Coalgebras, Tsukuba Math. J. 17, 1993, p. 461-479 (cu B.Torrecillas).
- Graded Coalgebras and Morita-Takeuchi contexts, Tsukuba Math. J. 19, 1995, p.395-407 (cu S.Dascalescu, S.Raianu si F. van Oysteyen).
- A Clifford Theory for Graded Coalgebras: Appl., Journal of Algebra 174, 1995, p.573-586 (cu B.Torrecillas).
- Quasi-co-Frobenius Coalgebras, J. of Algebra 174, 1995, p.909-923 (cu J.Gomez Torrecillas).
- Comodules Graded by G-Sets and Appl., Comm. in Algebra, 1995 (cu S.Dascalescu, B.Torrecillas, F. van Oystaeyen).
- Duality Theorems for Graded Maps and Coalgebras, J. of Algebra, 1997 (cu S.Dascalescu, B.Torrecillas, F. Van Oystaeyen).
- 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).
- Calby-Fuller Duality between Coalgebras, J. of Algebra, 185, p.527-543, 1996 (cu J. Gomez Torrecillas).
- Separable Functors for Coalgebras, Tsukuba Math. J., 1996, ( cu F.Castano, J. Gomez Torrecillas).
- Separable Functors for Grothendieck Categories, J. Pure and Appl. Algebra, 127, p.219-230 (1998) (cu F.Castano, J.Gomez Torrecillas).
- Comodules Graded by G-Sets and Appl., Comm. in Algebra, 25(1), 159-175 (1997) (cu S.Dascalescu, B.Torrecillas, F. van Oystaeyen).
- Frobenius Functors, Comm. in Alg., 1999 (cu F.Castano si J. Gomez Torrecillas).
- I. B. N. for Graded rings, Comm. in Alg., Vol. 28, nr. 3 (2000), 1351-1360 (cu B.Torrecillas si F.V. Oystaeyen).
- 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).
- Full grading for Matrix rings, J. of Algebra, 220, 709-728 (1999) (cu S.Dascalescu si B.Torrecillas).
- Co-Frobenius Hopf Algebras: Integrals, Doi-Kopinen Modules and injective objects, J. of Algebra, 220, 542-560(1999) (cu S.Dascalescu si B.Torrecillas).
- 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).
- Homological Dimension of Coalgebras and Crossed Coproducts (cu S.Dascalescu si B.Torrecillas) (in curs de aparitie).
- Involutory Hopf algebras with non-zero integrals (cu S.Dascalescu si B.Torrecillas) (in curs de aparitie).
Lucrari diverse
- Asupra grupurilor finite, Gazeta Matematica, seria A, nr. 4, 1981.
- 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).
- Valoarea maxima a determinantilor unor matrici, Gazeta Matematica, seria metodica, nr.3-4, 1985 (colab. cu I.Otarasanu si C.Radu).
- Caracterizarea morfismelor de corpuri, Gazeta Matematica seria metodica, nr.3, 1986.
- O aplicatie a grupurilor comutative finite. Gazeta Matematica, seria B, nr.3 (1986), p.99-105.
- Calculul puterilor unor elemente intr-un inel necomutativ, Gazeta Matematica nr.3 (1983), p.104-108 (cu M.Tena).
- Asupra unei ecuatii matriciale. Gazeta Matematica nr.7-8 (1992), p.244-243 (cu I.Savu).
- Valoarea maxima a determinantilor unor matrici de ordin 3. Gazeta Matematica nr.4-5 (1984) (cu S.Dancescu).
- Monomorfisme si Epimorfisme in inele, Gazeta Matematica nr. 9(1997), p.476-482 (cu M.Tena).
- Computer Matematica nr.1-7 (cu I.Savu).
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