CURRICULUM VITAE

Professor Dr. Toma Albu

PERSONAL RECORD

  • Date of Birth: July 13, 1943
  • Place of Birth: Petrosani, district Hunedoara, Romania
  • Nationality: Romanian
  • Citizenship: Romanian
  • Marital Status:Married to Maria Albu from 1970
  • Children: Irina, born in 1974 and Andrei-Tudor, born in 1978
  • Languages: English, French, German, Hungarian, Italian, Romanian, Russian
  • Permanent Business Address:
    Bucharest University,
    Faculty of Mathematics
    Str. Academiei 14,
    RO - 70109 Bucharest 1, Romania.
  • Tel: (401) 312.11.63, (401) 314.35.08/Ext.149
  • Fax: (401) 312.11.63, (401) 314.85.07
  • E-mail:
  • [email protected]
  • [email protected]
  • [email protected]
  • Permanent Residence:
    Bd. Ion Mihalache 62,
    Bloc 40, Sc. A, Ap. 25
    RO - 78215 Bucharest 2, Sector 1
    Romania
    Tel. (401) 222.71.00
  • Permanent Mailing Address:
    P.O.Box 2 - 255
    RO - 78215 Bucharest 2
    Romania

    EDUCATION

  • 1966 Diplomat (M.Sc.), Faculty of Mathematics of Bucharest University, with the Thesis ``Basic Notions in the Theory of Preschemes'' under the supervision of Professor Gh. Galbura
  • 1971 Doctor in Mathematics (Ph.D.), Bucharest University, with the Thesis ``On Some Classes of Modules'' under the supervision of Professor I. Bucur

    ACADEMIC POSITIONS

  • 1966-1979 Assistant Professor, Bucharest University, Faculty of Mathematics
  • 1979-1990 Senior Lecturer, Bucharest University, Faculty of Mathematics
  • 1990-1993 Assoc. Professor, Bucharest University, Faculty of Mathematics
  • 1993-1997, 1999-present Full Professor, Bucharest University, Faculty of Mathematics
  • 1997-1998 Visiting Professor, University of Wisconsin-Milwaukee (USA)
  • 1998-1999 Visiting Professor, The Ohio State University, Columbus (USA) and University of California, Santa Barbara (USA)

    TEACHING ACTIVITIES

  • Courses and Tutorials in Trigonometry, College Algebra, Geometry, Precalculus, Calculus, Calculus for Social and Life Sciences, Linear Algebra, General Algebra (including Galois Theory), Group Theory, Commutative Algebra, Theory of Modules and Rings, Homological Algebra, Abelian Categories, Representation Theory of Finite Groups, Representation Theory of Artin Algebras, Lie Algebras, Number Theory, since 1966 until the present.

    FIELDS OF RESEARCH

    Algebra (Ring Theory, Field Theory, Number Theory, Commutative Algebra)

    SHORT DESCRIPTION OF RESULTS AND CITATIONS

    (the numbers in the braces refer to my List of Scientific Papers)

  • Introduction of definition and study of monotone mappings between arbitrary topological spaces, cf. [1].
  • A study of some geometrical properties of geodesics on varieties obtained by glueing two Riemannian n-dimensional spaces, cf. [2].
  • A study of the cohomology of adels in finite Galois extensions of global fields, including an adelic version of the Additive Hilbert's Theorem 90, cf. [3].
  • Characterizations of some classes of commutative rings, including Dedekind domains, uniserial rings, general ZPI rings and restricted quasi-Frobenius rings by the structure of Artinian modules and injective modules over these rings, cf. [4], [5], [10], [13].
  • Decomposition theorems for simple torsion modules in Dickson's sense, cf. [6], [7], [8], [9], [11], [12].
  • An investigation of arithmetical modules (known also as distributive modules) over commutative rings, cf. [14], [17].
  • A study of the Gabriel dimension of modules, cf. [15], [18], [32].
  • A characterization of finite simple extensions of commutative Noetherian regular domains, cf. [24].
  • A systematic study of finiteness conditions for modules relative to Gabriel topologies, started in [19], [20] and continued in [16], [21], [23], [25], [33], [35], [36], [40], as well as in the joint monograph with C. Nastasescu Relative Finiteness in Module Theory, Marcel Dekker, 1984.
  • The initiation of the investigation of local cohomology and Cousin complex via torsion theories, cf. [22], [26], [27], [28].
  • An investigation of infinite group -graded rings, smash product and localization, cf. [37], [38], [39].
  • Introduction of definition and study of Gabriel dimension of arbitrary posets, cf. [30], [31].
  • A study of chain conditions in modular lattices, cf. [29], [34], [42].
  • Introduction and study of the concepts of Kummer field extensions with few roots of unity, Kneser field extensions, and G-Cogalois field extensions, with applications to algebraic number fields, cf. [41], [43], [44], [45], [49], [50], [55], [65], [69], [70], [71].
  • Introduction and study of the localization of modular lattices, with applications to the investigation of Krull dimension of arbitrary modular upper continuous lattices, cf. [47], [48], [51], [72].
  • A study of the relative dual Krull dimension of modules and its link with the relative Krull dimension of the underlying ring, cf. [46].
  • A study of the relationship between the Krull dimension and the dual Krull dimension of a ring, cf. [57].
  • A study of the noncommutative M-adic completion and of some topological aspects of the category sigma[M] of M-subgenerated modules, cf. [53].
  • Introduction and study of the concept of Kasch module, cf. [52].
  • Introduction and study of the concepts of right global Krull dimension and dual right global Krull dimension of arbitrary rings, and in particular of valuation rings, cf. [56], [59].
  • Introduction of the concepts of classes of posets (co)generated by a poset, and study of their global (dual) Krull dimension, cf. [54].
  • A study of generalized deviation of posets and modular lattices, with application to generalized Krull dimensions of rings and modules, cf. [58], [60], [61], [63], [66].
  • A study of rings having Krull dimension relative to a torsion theory, cf. [62], [68].
  • Various Krull-like dimension extensions of a recent result of C. Faith concerning the ACC on subdirectly irreducible submodules of a module, cf. [64], [74].
  • Introduction and study of the localization of Gamma-deviation, cf. [67].
  • A study of quartic algebraic number fields having only two subfields, cf. [73].
  • The papers listed below, as well as the joint monograph Relative Finiteness in Module Theory, Marcel Dekker, 1984 have been cited by more than 75 authors from all over the world in about 300 citations. This joint monograph is a basic reference for specialists working in the field of finiteness conditions on modules with respect to hereditary torsion theories. Here is the name of some of these authors: C. Faith, J.S. Golan, R. Wisbauer, M.L. Teply, T.S. Shores, A. Orsatti, B. Stenstrom, W. Narkiewicz, C. Menini, M. Harada, R. Gilmer, E.R. Puczylowski, A. Verschoren, J. L. Garcia Hernandez, G. Abrams, A. Facchini, J. Haefner, B. Lemonnier, J.L. Gomez Pardo, M. Saorin, B. Torrecillas, F. Van Oystaeyen, J. Raynaud, T. Porter, K.H. Ulbrich, S.M. Khuri, L. Bican, D.E. Dobbs, etc. A selection of these citations is the following:
  • G. ABRAMS and C. MENINI, `` Categorical equivalences and realization theorems'', J. Pure Appl. Algebra 113 (1996), 107-120.
  • J.L. BUESO, B. TORRECILLAS and A. VERSCHOREN, `` Local Cohomology and Localization'', Pitman, Longman Scientific & Technical, Essex, 1989
  • C. FAITH, `` Injective Modules and Injective Quotient Rings'', Marcel Dekker, New York and Basel, 1982
  • J.S. GOLAN, `` Localization of Noncommutative Rings'', Marcel Dekker, New York, 1975
  • J.S. GOLAN, `` Torsion Theories'', Pitman, Longman Scientific & Technical, 1986
  • J. HAEFNER, Graded equivalences with applications, J. Algebra 172 (1995), 385-424
  • M. HARADA, `` Factor Categories with Applications to Direct Decompositions of Modules'', Marcel Dekker, New York, 1983
  • C. MENINI, Gabriel-Popescu type theorems and graded modules, in ``Perspective in Ring Theory'', edited by F. Van Oystaeyen and L. Le Brujn, Kluver, p. 239-251 (1988)
  • W. NARKIEWICZ, `` Elementary and Analytic Theory of Algebraic Numbers'', Second Edition, Springer-Verlag PWN - Polish Scientific Publishers, Warszawa, 1990
  • T.S. SHORES and W.J. LEWIS, Serial modules and endomorphism rings, Duke Math. J. 41 (1974), 889-909
  • B. STENSTROM, `` Rings of Quotients'', Springer-Verlag, Berlin Heidelberg, 1975
  • M.L. TEPLY, `` Semicocritical modules'', University of Murcia Publications, Murcia, Spain, 1987
  • M. L. TEPLY, Links, Ore sets, and classical localizations Comm. Algebra 19 (1991), 2239-2266
  • R. WISBAUER, `` Foundations of Module and Ring Theory,'', Gordon and Breach, 1991

    INVITED TALKS

  • Sessions ``Ringe, Moduln und homologische Methoden'', Oberwolfach (Germany), May 1971 and May 1972
  • Session ``Ring Theory'', Antwerpen (Belgium), August 1983
  • Conference ``Abelian Groups and Modules'', Udine (Italy), April 1984
  • Session ``Modern Algebraic Methods - Combinatorial Algebra'', Tabor (Czechoslovakia), July 1985
  • Colloquium on Semigroups, Szeged (Hungary), August 1987
  • International Conference on Radicals ``ICOR '91'', Szekszard (Hungary), July 1991
  • Conference ``Abelian Groups and Modules'', Padova (Italy), June 1994
  • Workshop in Algebra, Mexico City (Mexico), November 1995 - Main Speaker
  • Session ``Ring Theory'', Second Joint AMS - SMM Meeting, Guanajuato (Mexico), November - December 1995
  • Session ``Ring Theory'', 23rd Ohio State -Denison Conference (USA), May 1996
  • Ring Theory Conference, Miskolc (Hungary), July 1996
  • Algebra Conference for the 60th birthday of Adalberto Orsatti, Padova (Italy), June 1997
  • Session ``Rings and Category Theory'', Third Joint AMS - SMM Meeting, Oaxaca (Mexico), December 1997
  • Session ``Ring Theory'', 24th Ohio State -Denison Conference (USA), May 1998
  • Second Greek Conference in Algebra and Number Theory, Thessaloniki (Greece), June 1998 - Main Speaker
  • Session ``Ring Theory'', Fourth Joint AMS - SMM Meeting, Denton, Texas (USA), May 1999
  • Session ``Ring Theory'', 25th Ohio State -Denison Conference (USA), May 2000
  • 8th International Conference on Discrete Mathematics, Dortmund (Germany), July 2000

    CONTRIBUTED TALKS

  • Second Gauss Symposium, Munchen (Germany), August 1993
  • Mid-Atlantic Algebra Conference, North Carolina State University, Raleigh (USA), March 1996
  • Second European Congress of Mathematics, Budapest (Hungary), July 1996 - Poster
  • Session ``Rings and Modules'', AMS Meeting, Milwaukee, Wisconsin (USA), October 1997
  • International Congress of Mathematicians, Berlin (Germany), August 1998
  • International Conference on Representation Theory of Algebras - ICRTA 8.5, Bielefeld (Germany), September 1998
  • International Conference on Algebra and its Applications, University of Ohio, Athens (USA), March 1999

    LECTURES GIVEN ABROAD

  • Germany: University of Munchen (1973, 1991), University of Dusseldorf (1990), University of Hamburg (1990), University of Bielefeld (1996) and University of Stuttgart (1996)
  • Italy: University of Ferrara (1984, 1994) and University of Udine (1994)
  • Greece: University of Athens and University of Ioannina (1987)
  • Japan: Osaka City University, Kinki University (Osaka), Tohoku Gakuin University (Sendai) and Shizuoka University (1990)
  • Israel: Ben Gurion University (Beer-Sheva) and Haifa University (1991)
  • United Kingdom: University of Glasgow (1991, 1994, 1996), University of Edinburgh (1994), University of Sheffield (1994) and University of Exeter (1996)
  • Belgium: University of Antwerpen UIA (1996)
  • France : Institut Henri Poincare, Paris (1996)
  • Canada: McMaster University (Hamilton) (1996), Carleton University (Ottawa) (1996), Mount Allison University (Sackville) (1996), Dalhousie University (Halifax) (1996), Royal Military College of Canada (Kingston) (1996, 1998) and University of Manitoba (Winnipeg) (1998)
  • USA: Ohio University (Athens) (1996), Ohio State University (Lima) (1996), Ohio State University (Columbus) (1996, 1998, 1999, 2000), University of Florida (Gainesville) (1996), CUNY - Graduate School and University Center (New York) (1996), CUNY - Queens College, Flushing, New York (1998), University of Wisconsin -Milwaukee (1997, 1998, 1999), University of Wisconsin -Madison (1998), University of Kansas (Lawrence) (1998), Rutgers University (New Brunswick) (1998) and University of California at Santa Barbara (1998, 1999)

    VISITING PROFESSOR POSITIONS

  • JapanOsaka City University (September - October 1990)
  • Italy: Padova University (April - May 1994)
  • USA: University of Wisconsin -Milwaukee (August 1997 - June 1998)
  • USA: The Ohio State University, Columbus (September 1998 - March 1999)
  • USA: University of California, Santa Barbara (April 1999 - July 1999)

    VISITING SCIENTIST POSITIONS

  • Germany: University of Dusseldorf (May 1990, July - August 1993, July 2000), University of Bielefeld (July - August 1998) and University of Dortmund (July 2000)
  • Israel: Ben Gurion University, Beer-Sheva (November 1991) and Haifa University (No- vember - December 1991)
  • United Kingdom: University of Glasgow (January - April 1994) and University of Exeter (November 1996)
  • Canada: McMaster University, Hamilton (January - February 1996), Carleton University, Ottawa (March 1996), University of Manitoba (Winnipeg) (March 1998) and Royal Military College of Canada (Kingston) (March 1998)
  • USA: Ohio State University, Lima (March 1996) and Ohio University, Athens (March - April 1996)

    HUMBOLDT RESEARCH FELLOWSHIP

    ( period, host institute, and host professor)

  • Jan. 1973 - Dec. 1973, University of Munchen, Prof. Dr. F. Kasch
  • Mar. 1991 - Sep. 1991, University of Dusseldorf, Prof. Dr. R. Wisbauer
  • Jun. 1994 - Jul. 1994, University of Dusseldorf, Prof. Dr. R. Wisbauer
  • May 1996 - Jun. 1996, University of Dusseldorf, Prof. Dr. R. Wisbauer
  • Apr. 2001 - Jun. 2001, University of Dusseldorf, Prof. Dr. R. Wisbauer

    AWARDS

  • First Prize, National Mathematics Competition for students of Universities, Bucharest, 1965
  • Prize for Mathematics ``Simion Stoilow'' of the Romanian Academy in 1984

    MEMBERSHIPS

  • American Mathematical Society, since 1974
  • Societatea de Stiinte Matematice din Romania, since 1966
  • Societatea Matematicienilor din Romania, since 1990

    EDITORIAL POSITIONS

  • Editorial Board Member of the Romanian journal for elementary mathematics Gazeta Matematica (founded 1895) since 1980

    GUIDANCE OF M.SC. AND PH.D. STUDENTS

  • Supervisor of over 60 M.Sc. students at the Bucharest University since 1972. Here is a list of some of the most successful such students:
  • C. Canini, The Kronecker -Weber Theorem, 1976 (died 1992, Senior Lecturer, Technical University Bucharest)
  • S. Raianu, Local Cohomology, Cousin Complex, and Torsion Theories, 1981 (Assoc. Professor, Bucharest University)
  • T. Dumitrescu, Going -Down, 1983 (Senior Lecturer, Bucharest University)
  • F. Nicolae, Kummer, Kneser and Cogalois Field Extensions, 1993 (Post Doc, Max Planck Arbeitsgruppe ``Algebraische Geometrie und Zahlentheorie,'', Berlin)
  • M. Iosif, Dimensions of Posets, 1994 (Research Assistant, Bucharest University)
  • Since 1990, supervisor of 10 Ph.D. students at the Bucharest University.

    UNIVERSITY SERVICE

  • Member of the Professorial Council of the Faculty of Mathematics of Bucharest University (1990-1996)
  • Member of the Senate of Bucharest University (1992-1996)
  • Scientifical Secretary of the Professorial Council and member of the Conductorship Committee of the Faculty of Mathematics of Bucharest University (1992-1996)

    OTHER ACTIVITIES

  • Member of the National Committee for the National and International Mathematical Olympiads (1982-1986) and teacher-trainer of the Romanian team for the International Mathematical Olympiads and Balkan Mathematical Olympiads (1982-1986)
  • Director of the Romanian team participating to the first Balkan Mathematical Olympiad (Athens, Greece, 1984), the second Balkan Mathematical Olympiad (Sofia, Bulgaria, 1985) and the third Balkan Mathematical Olympiad (Bucharest, Romania 1986)
  • Co-organizer of the First International Conference on Ring Theory, Bucharest, July 1989 and of the International Conference ``Algebraic Geometry, Commutative Algebra and Computer Algebra'', Constanta, September 1996
  • Referee for both Mathematical Reviews, since 1971 and Zentralblatt fur Mathematik, since 1977
  • Project leader of the Faculty of Mathematics of the Bucharest University for the Pure Mathematics part of the TEMPUS S-JEP 09094-95, September 1995 - August 1997
  • Chairman of one of the sessions of the Conference ``Methoden in Ring Theorie'', Oberwolfach, Germany, July 1993, of one the sessions of the Conference ``Ring Theory'', Second AMS - SMM Joint Meeting, Guanajuato (Mexico), November - December 1995, of one of the sessions of the Conference ``Ring Theory'', Miskolc, Hungary, July 1996, of one of the sessions of the Conference ``Rings and Category Theory'', Third AMS - SMM Joint Meeting, Oaxaca, Mexico, December 1997, of one of the sessions of the 24th Ohio State -Denison ``Ring Theory'' Conference, Granville, USA, May 1998, of one of the sessions of the Algebra section of the ``International Congress of Mathematicians'', Berlin, Germany, August 1998, of one of the plenary sessions of the ``International Conference on Algebra and its Applications'', Athens, Ohio, USA, March 1999, and of one of the sessions of the 25th Ohio State -Denison ``Ring Theory'' Conference, Columbus, USA, May 2000
  • Evaluator of several Ph.D. Theses

    MONOGRAPHS AND TEXTBOOKS

  • Chapters of Algebraic Number Theory (in Romanian), Tipografia Universitatii Bucuresti, 1979, 352 pages (with I. D. Ion).
  • Relative Finiteness in Module Theory, A Series of Monographs and Textbooks, Volume 84, Marcel Dekker, Inc., New York and Basel, 1984, 190 pages (with C. Nastasescu).
  • Lessons on Commutative Algebra (in Romanian), Tipografia Universitatii Bucuresti, 1984, 331 pages (with S. Raianu).
  • Chapters of Algebraic Number Theory (in Romanian), Editura Academiei, 1984, 251 pages (with I. D. Ion).
  • Themes and Problems for the Preparation of Mathematical Olympiads (in Romanian), Piatra Neamt, 1984, 204 pages (with T. Andreescu, I. Cuculescu, I. Tomescu et al.).
  • Problems of Mathematics given at the Contests and Examinations in 1984 (in Romanian), I.P.B.T., Timisoara, 1986, 356 pages (with T. Andreescu, D. Andrica, I. Tomescu et al.).
  • Seminar of Algebra: Cohen -Macaulay Rings and Modules (in Romanian), Tipografia Universitatii "Al. I. Cuza" Iasi, 1986, 166 pages (with L. Badescu, A. Buium, D. Popescu et al.).
  • Nineteen Lessons on Group Theory (in Romanian), Tipografia Universitatii Bucuresti, 1987, 352 pages (with N. Manolache).
  • Semisimple Lie Algebras (in Romanian), Seminariile Institutului de Matematica al Academiei Romane, Nr. 1, 1991, 255 pages (with V. Nistor, M. Putinar, F. Radulescu et al.).
  • An Elementary Itinerary in Higher Algebra (in Romanian), Editura All Educational, Bucuresti, 1997 (with I. D. Ion).
  • Cogalois Theory, A Series of Monographs and Textbooks, Marcel Dekker, Inc., New York, 2001, to appear.
  • Problem Book on Modules and Algebras, Tipografia Universitatii Bucuresti, 2002, to appear. (with T. Dumitrescu and M. Iosif).

    SCIENTIFIC PAPERS

  • 1. Monotone mappings between topological spaces (in Romanian), Stud. Cerc. Mat. 15 (1964), 915-925.
  • 2. Un probleme variationel dans l'espace de Riemann, Rev. Roumaine Math. Pures Appl. 10(1965), 1323-1330 (with T. Zamfirescu).
  • 3. On the cohomology of adels (in Romanian), Stud. Cerc. Mat. 22 (1970), 383-390.
  • 4. Une caracterisation des anneaux de Dedekind, C. R. Acad. Sci. Paris 270}, Serie A (1970), 699-702.
  • 5. Modules injectifs et modules artiniens sur les anneaux ZPI generaux, C. R. Acad. Sci. Paris 271, Serie A (1970), 209-212.
  • 6. Modules de torsion a support fini, C. R. Acad. Sci. Paris 273, Serie A (1971), 335-338.
  • 7. Modules decomposables de Dickson, C. R. Acad. Sci. Paris 273, Serie A (1971), 369-372.
  • 8. Decomposition primaire dans les modules de torsion, C. R. Acad. Sci. Paris 273, Serie A (1971), 696-699 (with C. Nastasescu).
  • 9. Un critere de decomposabilite des modules de torsion, Bull. Math. Soc. Sci. Math. R. S. Roumanie 15 (63), (1971), 3-8.
  • 10. On some classes of modules (I) (in Romanian), Stud. Cerc. Mat. 24 (1972), 1329-1392.
  • 11. On some classes of modules (II) (in Romanian), Stud. Cerc. Mat. 24 (1972), 1455-1501.
  • 12. Decomposition primaire des modules, J. Algebra (USA) 23 (1972), 263-270 (with C. Nastasescu).
  • 13. Modules injectifs quasi-cycliques, Rev. Roumanie Math. Pures Appl. 18 (1973), 987-996.
  • 14. Modules arithmetiques, Algebra - Berichte, Bericht Nr. 11, 1973, Seminar F. Kasch - B. Pareigis, Mathematisches Institut der Universitat Munchen, Verlag Uni -Druck, 24 pages (with C. Nastasescu).
  • 15. Sur la dimension de Gabriel des modules, Algebra - Berichte, Bericht Nr. 21, 1974, Seminar F. Kasch - B. Pareigis, Mathematisches Institut der Universitat Munchen, Verlag Uni -Druck, 26 pages.
  • 16. Modules sur les anneaux de Krull, Algebra - Berichte, Bericht Nr. 25, 1974, Seminar F. Kasch - B. Pareigis, Mathematisches Institut der Universitt Munchen, Verlag Uni -Druck, Munchen, 15 pages (with C. Nastasescu).
  • 17. Modules arithmetiques, Acta Math. Acad. Sci. Hungar. (Hungary) 25 (1974), 299-311 (with C. Nastasescu).
  • 18. Quelques caracterisations des modules ayant une dimension de Gabriel, C. R. Acad. Sci. Paris 280, Serie A (1975), 617-620.
  • 19. Decompositions primaires dans les categories de Grothendieck commutatives (I), J. Reine Angew. Math. (Germany) 280 (1976), 172-194 (with C. Nastasescu).
  • 20. Decompositions primaires dans les categories de Grothendieck commutatives (II), J. Reine Angew. Math. (Germany) 282 (1976), 172-185 (with C. Nastasescu).
  • 21. Modules sur les anneaux de Krull, Rev. Roumanie Math. Pures Appl. 21 (1976), 133-142 (with C. Nastasescu).
  • 22. Local cohomology and torsion theory, Algebra - Berichte, Bericht Nr. 37, 1979, Seminar F. Kasch - B. Pareigis, Mathematisches Institut der Universitat Munchen, Verlag Uni -Druck, Munchen, 38 pages (with C. Nastasescu).
  • 23. Une remarque sur les categories de Grothendieck commutatives, Bull. Math. Soc. Sci. Math. R. S. Roumanie 23 (71) (1979), 115-116.
  • 24. On a paper of Uchida concerning simple finite extensions of Dedekind domains, Osaka J. Math. (Japan), 16 (1979), 65-69.
  • 25. On commutative Grothendieck categories having a Noetherian cogenerator, Arch. Math. (Basel) 34 (1980), 210-219.
  • 26. Some aspects of non -Noetherian local cohomology, Comm. Algebra (USA) 8 (1980), 1539-1560 (with C. Nastasescu).
  • 27. Local cohomology and torsion theory (I), Rev. Roumaine Math. Pures Appl. 26 (1981), 3-14 (with C. Nastasescu)
  • 28. Cousin complex, local cohomology and torsion theory, Comm. Algebra (USA) 10 (1982), 1691-1720 (with S. Raianu).
  • 29. Certain Artinian lattices are Noetherian. Applications to the relative Hopkins -Levitzki Theorem, in "Methods in Ring Theory", edited by F. Van Oystaeyen, D. Reidel Publishing Company, Dordrecht (Holland), p. 37-52 (1984).
  • 30. Gabriel dimension of partially ordered sets (I), Bull. Math. Soc. Sci. Math. R. S. Roumanie 28 (76) (1984), 99-108.
  • 31. Gabriel dimension of partially ordered sets (II), Bull. Math. Soc. Sci. Math. R. S. Roumanie 28 (76) (1984), 199-205.
  • 32. A remark on the spectra of rings having a Gabriel dimension, Rend. Sem. Mat. Univ. Padova (Italy) 72 (1984), 45-48.
  • 33. On compositon series of a module with respect to a set of Gabriel topologies, in "Abelian Groups and Modules" edited by R. Grobel, C. Metelli, A. Orsatti, L. Salce, Springer -Verlag, Wien -New York, p. 467-476 (1984).
  • 34. Latticial aspects of some relative chain conditions for modules, An. Stiint. Univ. "Al. I. Cuza" Iasi Sect. I a Mat. 31 (1985) (Supplement), 54-57.
  • 35. F -Semicocritical modules, F -primitive ideals and prime ideals, Rev. Roumaine Math. Pures Appl. 31 (1986), 449-459.
  • 36. Semicocritical modules relative to a torsion theory, in "Proceedings of the National Conference on Algebra", June 1985, University of Cluj -Napoca, 1986, p. 1-2.
  • 37. Infinite group -graded rings, rings of endomorphisms, and localization, J. Pure Appl. Algebra (Holland) 59 (1989), 125-150 (with C. Nastasescu).
  • 38. Smash products and quotient categories, in "Proceedings of the National Conference on Algebra", June 1988, University of Brasov, 1989, p. 27-30.
  • 39. Pure ideals, quotient categories and infinite group -graded rings, Comm. Algebra (USA) 18 (1990), 839-862.
  • 40. Generators in Grothendieck categories with right perfect endomorphism rings, Osaka J. Math. (Japan) 28 (1991), 295-304 (with R. Wisbauer).
  • 41. Kummer extensions with few roots of unity, J. Number Theory (USA) 41 (1992), 322-358.
  • 42. The Hopkins -Levitzki Theorem for modular lattices, and Krull dimension, Analele stiintifice ale Universitatii "Ovidius" Constanta 2 (1994), 1-10 (with P. F. Smith).
  • 43. Kneser field extensions with Cogalois correspondence, J. Number Theory (USA) 52 (1995), 299-318 (with F. Nicolae).
  • 44. G -Cogalois field extensions and primitive elements, in ``Symposia Gaussiana'', Conference A: Mathematics and Theoretical Physics, edited by M. Behara, R. Fritsch, R. G. Lintz, Walter de Gruyter & Co., Berlin New York, p. 233-240 (1995) (with F. Nicolae).
  • 45. Heckesche Systeme idealer Zahlen und Knesersche Korpererweiterungen, Acta Arithmetica (Poland) 73 (1995), 43-50 (with F. Nicolae).
  • 46. Dual relative Krull dimension of modules over commutative rings, in "Abelian Groups and Modules", edited by A. Facchini and C. Menini, Kluwer Academic Publisher, Dordrecht (Holland), p. 1-15 (1995) (with P. F. Smith).
  • 47. Localization of modular lattices, Krull dimension, and the Hopkins -Levitzki Theorem (I), Math. Proc. Cambridge Philos. Soc. (Great Britain) 120 (1996), 87-101 (with P. F. Smith).
  • 48. Ascending chains of submodules in modules having Krull dimension, Rev. Roumaine Math. Pures Appl. 41 (1996), 567-581 (with T. H. Lenagan and P. F. Smith).
  • 49. Some remarks on G -Cogalois extensions, Rev. Roumaine Math. Pures Appl. 41 (1996), 145-153 (with F. Nicolae and M. Tena).
  • 50. Finite radical field extensions and crossed homomorphisms, J. Number Theory (USA) 60 (1996), 291-309 (with F. Nicolae).
  • 51. Localization of modular lattices, Krull dimension, and the Hopkins -Levitzki Theorem (II), Comm. Algebra (USA) 25 (1997), 1111-1128 (with P. F. Smith).
  • 52. Kasch modules, in ``Advances in Ring Theory'', edited by S. K. Jain and S. Tariq Rizvi, Birkhauser, Boston Basel Berlin, p. 1-16 (1997) (with R. Wisbauer).
  • 53. M -Density, M -adic completion, and M -subgeneration, Rend. Sem. Mat. Univ. Padova (Italy) 98 (1997), 141-159 (with R. Wisbauer).
  • 54. Classes of lattices (co)generated by a lattice and their global (dual) Krull dimension, Discrete Math. (Holland) 185 (1998), 1-18.
  • 55. Field extensions having a Cogalois correspondence - A survey, in ``Proceedings of the Annual Meeting of the Romanian Society of Mathematical Sciences, Bucharest, May 29 - June 1, 1997'', Tome 1, edited by M. Becheanu, I. D. Ion and A.Vernescu, p. 13-22 (1998).
  • 56. Global Krull dimension and global dual Krull dimension of valuation rings, in ``Abelian Groups, Module Theory, and Topology: Proceedings in Honor of Adalberto Orsatti's 60th Birthday'', edited by D. Dikranjan and L. Salce, Marcel Dekker, Inc., New York, p. 37-54 (1998) (with P. Vamos).
  • 57. Dual Krull dimension and duality, Rocky Mountain J. Math. (USA) 29 (1999), 1153-1165 (with P. F. Smith).
  • 58. An example in the dimension theory of modular lattices, in ``Proceedings of the Topology and Geometry Research Center'', edited by Y.H. Kim and J. Jeong, Volume 10, Kyungpook National University (Korea) TGRC -KOSEF (Korea), p. 59-72 (1999). (with M.L. Teply).
  • 59. Global Krull dimension, in ``Ring Theory and Representations of Algebras'', Proceedings of the Euroconference Interactions between Ring Theory and Representations of Algebras, University of Murcia, January 1998, edited by M. Saorin and F. Van Oystaeyen, Marcel Dekker, Inc., New York Basel, p. 1-23 (2000) (with P. F. Smith).
  • 60. Generalized deviation of posets and modular lattices, Discrete Math. (Holland) 214 (2000), 1-19 (with M. L. Teply).
  • 61. The double infinite chain condition and generalized deviations of posets and modules, in ``Algebra and its Application'', Proceedings of the International Conference on Algebra and its Applications, Athens, Ohio, 1999, edited by D.V. Huynh, S.K. Jain, and S.R. Lopez-Permouth, Contemporary Math., Vol. 259, American Math. Soc., Providence, p. 13-43 (2000) (with M. L. Teply).
  • 62. The nilpotence of the tau-closed prime radical in rings with tau-Krull dimension, J. Algebra (USA) 229 (2000), 498-513 (with G. Krause and M.L. Teply).
  • 63. Generalized deviations of posets with applications to chain conditions on modules, in ``International Symposium on Ring Theory'', Proceedings of the 3rd Korea-China-Japan International Symposium on Ring Theory, edited by G.F. Birkenmeier, J.K. Park, and Y.S. Park, Birkhauser, Boston Basel Berlin, 2000 (with M.L. Teply).
  • 64. Chain conditions on quotient finite dimensional modules, Comm. Algebra (USA) 29 (2001), to appear (with S.T. Rizvi).
  • 65. Infinite Cogalois theory, Stud. Cerc. Mat., 2001, to appear (with M. Tena).
  • 66. The double infinite chain condition relative to a torsion theory, J. Korean Math. Soc., 2001, to appear (with M.L. Teply).
  • 67. Localization of Gamma-deviation, J. Korean Math. Soc., 2001, to appear (with M.L. Teply).
  • 68. Bijective relative Gabriel correspondence over rings with torsion theoretic Krull dimension, J. Algebra (USA), 2001, to appear (with G. Krause and M.L. Teply).
  • 69. Infinite field extensions with Cogalois correspondence, Comm. Algebra (USA), 2001, to appear.
  • 70. Infinite field extensions with Galois -Cogalois correspondence, Rev. Roumaine Math. Pures Appl., 2002, to appear.
  • 71. Some examples in Cogalois Theory with applications to Elementary Arithmetic, submitted.
  • 72. Corrigendum and Addendum to ``Localization of modular lattices, Krull dimension, and the Hopkins -Levitzki Theorem (II)'', Comm. Algebra (USA), 2002, to appear (with P.F. Smith).
  • 73. Quartic algebraic number fields with only two subfields, submitted (with L. Panaitopol).
  • 74. Modular QFD lattices with applications to Grothendieck categories and torsion theories, in preparation (with M. Iosif and M.L. Teply).

    DIDACTIC PAPERS

  • 1. On a geometric inequality (in Romanian), Gazeta Matematica, Ser. B XII, Nr. 10 (1961), 597-59
  • 2.On some classes of rational numbers (in Romanian), Gazeta Matematica, Ser. A LXX, Nr. 4 (1965), 129-131.
  • 3. About the notion of power (in Romanian), Gazeta Matematica, Ser. A LXX, Nr. 5 (1965), 176-181 (with C. Banica).
  • 4. A geometric locus problem (in Romanian), Gazeta Matematica, Ser. A LXXI, Nr. 9 (1966), 330-331.
  • 5. About the conjugate roots of some algebraic equations (in Romanian), Gazeta Matematica, Ser. A LXXI, Nr. 6 (1966), 212-225 (with E. Georgescu -Buzau).
  • 6. Some applications of the including and excluding principle (in Romanian), Gazeta Matematica, Ser. B XX, Nr. 6 (1969), 328-331 (with I. Tomescu).
  • 7. Admission Contest, September 1982. Faculty of Mathematics. Algebra (in Romanian), Gazeta Matematica LXXXVIII, Nr. 6 (1983), 233-237.
  • 8. A counting method of the group structures on a finite set (I) (in Romanian), Gazeta Matematica LXXXIX, Nr. 2 (1984), 49-52.
  • 9. A counting method of the group structures on a finite set (II) (in Romanian), Gazeta Matematica LXXXIX, Nr. 3 (1984), 97-99.
  • 10. The first Balkan Mathematical Olympiad for highschool students (in Romanian), Gazeta Matematica LXXXIX, Nr. 9 (1984), 321-328.
  • 11. The second Balkan Mathematical Olympiad for highschool students (in Romanian), Gazeta Matematica XC, Nr. 12 (1985), 437-443.
  • 12. The third Balkan Mathematical Olympiad for highschool students, Bucharest - 1986 (in Romanian), Gazeta Matematica XCI, Nr. 10 (1986) 369-378.
  • 13. On a property of binomial coefficients (in Romanian), Revista Matematica a Elevilor din Timisoara XVII, Nr. 2 (1986), 24-27.
  • 14. The decomposition in simple fractions (in Romanian), Gazeta Matematica, Perfectionare Metodica VIII, Nr. 3 (1987), 104-114 (with M. Tena).
  • 15. Elementary constructions of commutative rings and fields (I) (in Romanian), Gazeta Matematica XCIII, Nr. 8 (1988), 305-311.
  • 16. Elementary constructions of rings and fields (II) (in Romanian), Gazeta Matematica XCIII, Nr. 9 (1988), 337-346.
  • 17. Elementary constructions of rings and fields (III) (in Romanian), Gazeta Matematica XCIII, Nr. 10 (1988), 386-396.
  • 18. An elementary treatment of the structure of finite fields (in Romanian), Gazeta Matematica, Perfectionare Metodica X, Nr. 4 (1989), 153-164.
  • 19. A property of the roots of irreducible polynomials (in Romanian), Gazeta Matematica XCV, Nr. 4-5 (1990), 129-132.
  • 20. From the irrationality of sums of radicals to Kneser and G -Cogalois field extensions (I) (in Romanian), Gazeta Matematica C, Nr. 9 (1995), 421-432.
  • 21. From the irrationality of sums of radicals to Kneser and G -Cogalois field extensions (II) (in Romanian), Gazeta Matematica C, Nr. 10 (1995), 611-619.
  • 22. Polynomials, polynomial functions, and roots (I) (in Romanian), Gazeta Matematica, Per- fectionare Metodica XVI, Nr. 1 (1998), 4-28.
  • 23. Polynomials, polynomial functions, and roots (II) (in Romanian), Gazeta Matematica, Per- rfectionare Metodica XVI, Nr. 2 (1998), 82-101.