**
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:*
Toma.Albu@imar.ro

toma@al.math.unibuc.ro

toma@gta.math.unibuc.ro

* 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**

* Japan*Osaka 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.