Nicolae RADU

Born in Petresti, district of Alba, on January 29'th 1931. He graduated the Faculty of Mathematics and Physics, Mathematics section, of the University of Bucuresti in 1955. Assistant professor between 1957 and 1963, Senior Lecturer between 1963 and 1969, Associate Professor between 1969 and 1980; Professor since 1980. He gave courses and tutorials in Algebra, Linear Programming, Local Algebra, Commutative Algebra, and Number Theory at the University of Bucuresti. He defended his Ph. D. Thesis ''Properties of some class of rings" at the University of Bucuresti in 1965 . His main results, especially in the theory of formally smooth morphisms were cited by well-known mathematicians such as: M. André, E. Kunz, J. Herzog, H. Matsumura, A. Rodicio, J. Mojodos, H. Seydi. Winner of the "Simion Stoilow" prize of the Romanian Academy in 1977. Reviewer for Zentralblatt fur Mathematik (1960).

Monographs and Textbooks

  • Inele locale, Editura Academiei, vol. I, 1968, vol. II, 1970 .

  • Algebra, Editura didactica and pedagogica ,1970; second edition , 1975; third edition 1981; fourth edition 1991 (with Ion D. Ion).

  • Lectii de algebra I, Litografia Universitatii din Bucuresti 1973.

  • Culegere de probleme de algebra, Litografia Universitatii din Bucuresti, 1974 (with Ion D. Ion, C. Nita, D. Popescu).

  • Lectii de algebra II, Litografia Universitatii din Bucuresti, 1975.

  • Probleme de algebra, Litografia Universitatii din Bucuresti, 1976 (with Ion D. Ion, C. Nita, D. Popescu).

  • Lectii de algebra, Litografia Universitatii din Bucuresti, 1977 (with A. Brezuleanu).

  • Probleme de algebra, Editura didactica and pedagogica, 1981 (with Ion D. Ion, C. Nita, D. Popescu).

  • Lectii de algebra III, Descompunere primara în inele comutative, Litografia Universitatii din Bucuresti, 1981.

  • Lectii de algebra III. Algebra locala, Universitatea din Bucuresti, 1982 (with A. Brezuleanu).

  • Algebra pentru perfectionarea profesorilor, Editura didactica and pedagogica, 1983 (with M. Becheanu, A. Dinca, Ion D. Ion, C. Nita, I. Purdea, Mirela Stefanescu, C. Vraciu).

  • Local Algebras, Editura Universitatii din Bucuresti 1993 (with A. Brezuleanu and T. Dumitrescu).

  • Algebre locale, Editura Academiei, 1998 (with A. Brezuleanu).

  • Algebra, Editura ALL, Zalau, 1998, (with M. Becheanu, A. Dinca, I. D. Ion, C. Nita, I. Purdea, M. Stefanescu, C. Vraciu).

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    Articole stiintifice

  • Sur l'existence de la fonction de Green pour les equations du type elliptique definies sur des varietes differentiables, Comptes Rendus de l' Academie de Sciences, Paris, vol. 246, nr. 23, 1958, 3204 - 3207 (with N. Boboc).

  • Une classe de fonctions definies sur des varietes topologiques triangulables. Mesure associee. Fonctions de Green associees, Revue Roum. de math. pures et appl., vol. 3, nr. 2, 1958, p. 309 - 323 (with N. Boboc).

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  • Asupra prelungirii solutiilor ecuatiei eliptice liniare. Masura eliptica. Lucrarile celui de-al IV-lea Congres al matematicienilor români, Bucuresti, 1965, p. 149 - 150 (with N. Boboc).

  • Lema lui Krull and structura inelelor, Studii si cercet. matematice, vol. 11, nr. 1, 1960, p.183 - 191.

  • Uber die Struktur der Multiplikationsringe, Revue Roum. de math. pures et appl., vol. 6, nr. 2, 1961, p. 363 - 371.

  • Rezolvarea abstracta prin radicali, Studii si cercet. matem., vol. 13, nr. 2, 1962, p. 377 - 418 (with D. Barbilian).

  • J-metricile naturale finsleriene and functia de reprezentare a lui Riemann, Studii si cercetari matem., anul XII, nr. 1, 1962, p. 21-26 (with D. Barbilian).

  • Intersectii de ideale în unele inele, Studii si cercet. matem., vol. 15, nr. 2, 1964, p. 209-215.

  • Asupra functorului de completare Studii si cercet. matem., vol. 17, nr. 3, 1965, p. 491 - 501.

  • Sur les anneaux coherents laskeriens, Revue roum. de math. pures et appl., vol. 11, nr. 7, 1966, p. 865 - 867.

  • Sur la decomposition primaire des modules, Bull. de la Soc. roum. de math., vol. 10 (58), nr. 1-2, 1966, p. 143 - 149.

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  • Module de S-cotorsiune, Rev. Univ. Bucuresti, vol.15, nr. 2, 1966, p. 25-32.

  • Asupra unor categorii de module, Studii si cercet. matem., vol.19, nr. 3, 1967, p. 393 - 402.

  • Une caracterisation des algebres noetheriennes regulieres sur un corps de caracteristique zero, C. R. Acad. Sci., Paris, vol. 270, 1970, p. 851-853.

  • Un critere differentiel de lissite formelle pour une algebre locale noetherienne sur un corps, C. R. Acad. Sci., Paris, vol.272, 1970, p. 485-487.

  • Un critere differentiel de lissite formelle , C. R. Acad. Sci., Paris, Vol. 272, 1971, p. 1166 - 1168.

  • Sur la decomposition primaire des ideaux differentiels, Revue roum. math. pures. et appl., vol. 16, nr. 9, 1971, p. 1419 - 1425.

  • Sur les algebres laskeriennes formellement lisses, Bull. math. de lan Soc. Sci. Math. de RSR, vol. 14 (62), nr. 4, 1970, p. 455-459.

  • Geometric regularity and formal smoothness, Atti della Acad. Nat. dei Lincei, Redinconti, vol. 51, nr. 5, 1971, p. 326 - 327 (with A. Brezuleanu).

  • Sur la localisation de la lissite formelle, C. R. Acad. Sci., Paris, vol. 276, 1975, p. 439 - 441 (with A. Brezuleanu).

  • Sur les algebres relativement formellement lisses, Bull. Math. de la Soc. Sci. Math. de RSR, vol. 16, nr. 2, 1972, p. 225 - 228.

  • Sur l'ensemble des ideaux premiers formellement lisses, Annali della Universita di Ferrara, vol. 20, 1975, p. 53 - 57.

  • On the localisation of formal smoothness, Revue roum. de math. pures et appl., vol. 20, nr. 2, 1975, p. 189 - 200 (with A. Brezuleanu).

  • Sur les algebres dont le module de differentielles est plat, Revue roum. de math. pures et appl., vol. 21, nr. 7, 1976, p. 933 - 939.

  • Sur les algebres lisses, Analele Univ. Bucuresti, 1975, p. 13 -16.

  • Sur un critere de lissite formelle, Bull. math. de la Soc. Sci. math. De RSR, vol. 21 (69), nr. 1-2, 1977, p. 133 - 135.

  • Excellent rings and good separation of the module of differentials, Revue roum. de math. pures et appl., vol. 33, nr. 10, 1978, p. 1455 – 1470 (with A. Brezuleanu).

  • Sur la stucture des algebres locales noetheriennes formellement lisses, Analele Univ. Bucuresti, seria matem., vol. 29, 1980.

  • Sur les anneaux laskeriens, Proceeding of the week of Algebraic Geometry, Bucarest, 1980, Teubner-Txte zur Math., vol. 40, 1981, p. 158 -163.

  • Une classe d'anneaux presque laskeriens, Analele Univ. Bucuresti, vol. 32, 1983, p. 65 - 68.

  • Jacobian criterion of Nagata-Grothendieck and applications, Analele stiintifice ale Universitatii ''Al. I. Cuza'' din Iasi, T.31, 1985 (supliment), p. 1 - 5 (with A. Brezuleanu).

  • Siruri regulate. Seminar de algebra, Inele and module Cohen-Macaulay, Univ. ''Al. I. Cuza'', Iasi, 1986, p. 1 - 9.

  • On the Jacobian criterion of Nagata-Grothendieck, Revue roum. de Math. pures et appl., T.31, nr. 6, 1986, p. 513 - 516 (with A. Brezuleanu).

  • Sur le critere jacobien de lissite formelle, Proc. of the Conferences on algebra, Preprint nr. 9, 1986, p. 17 - 19, Univ. ''Cluj-Napoca'' (with A. Brezuleanu).

  • On the Jacobien criterion of the Nagata-Grothendieck, Preprint,INCREST, nr. 36, 1986 (with A. Brezuleanu).

  • Stability of geometric regularity as consequence of Nagata's jacobian criterion, Studii si cercetari Matematice, vol. 60, nr. 6, 1987, p. 457 - 462 (with A. Brezuleanu).

  • Sur un critere de lissite formelle, Proc. of the Algebra conference, 9-10 iunie 1988, p. 23 - 26.

  • Une classe d'anneaux noetheriens, Revue de Math. pures et appl., vol.37, nr.1, 1992, p. 79 - 82.

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  • Regularity, flatness and approximation property, Analele Univ. Bucuresti, vol. XL, nr. 1-2, 1991, p. 77 - 81.

  • Regularity and flatness for ring homomorphisms, An. St. Univ. ''Ovidius'' Constan ta, vol 2 (1994), p. 80 - 83 (with T. Dumitrescu).

  • On a theorem of A. Grothendieck, Studii si cercetari Matematice, vol. 48, nr. 5-6, 1996, p. 319 - 323 (with T. Dumitrescu).

  • About Rings with Primary Decomposition, Bull. Math. Soc. Math. Roum., 39(87) 1-4, 1996, 273-277.

  • Some Factorization Properties of Composite Domain A+XB[[X]], Comm. In Algebra, 28, 3, 2000, 1125-1139 (with T. Dumitrescu, S. O. I. Al-Salihi, T. Shah).

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  • Ascend and descend of factorizations properties, to appear in Studii si Cercetari Matematice (with S.O.I. Al-Salihi and T. Shah).

  • Preschreier domains as pullback, Lucrarile conferintei de Matematici Aplicate, Pitesti, 1999.

  • Primes that become primal in a pullback (with T. Dumitrescu and M. Zacfrullah), to apear in Intern. J. of Comm. Rings, Birzeit Univ.