Edgar E. Enochs
Personal
- Born -- September 13, Pike County, Mississippi
- Married -- Louise Smith, Baton Rouge, LA., June 21, 1958
- Children -- Corinne, Mary Jane, Kathryn, Maureen,
Madelaine, Anne and John
Education
- B.S. Louisiana State University, 1958
- PhD. Notre Dame University, 1958
- THESIS: Infinite Abelian Groups
- THESIS DIRECTOR: D. J. Lewis
Experience
- Instructor, University of Chicago, 1958-1960
- Assistant Professor, University of South Carolina, 1960-1962
- Associate Professor, University of South Carolina, 1962-1966
- Professor, University of South Carolina, 1966-1967
- Professor, University of Kentucky, 1967-
University Service
- Chairman Colloquium Committee
- Library Representative
- Mathematics Symposium Coordinator
- Advisory Board
- Coordinator of Beginning Calculus
- Executive Committee
- University Area Committee
- Committee to Evaluate Graduate Program, French Department
- Director of Undergraduate Studies
- Chairman, Committee to Evaluate Freshman Mathematics Program
- Authored Uniform Exams for MA113
- Director of Graduate Studies, (one semester)
- Advisor - Mathematics Majors
- Advisor - Computer Science Majors
- Promotion and Tenure Committee
- Committee to Select Chairman,Spanish Department
- Salary Committee, Mathematics Department
- Committee to Select Chairman, Mathematics Department
- Sturgill Award Selection Committee
- Dissertation Year Fellowship Panel
- Graduate Council Committee on Fellowships and Traineeships
- (Physical Science Panel)
Professional Organizations
- American Mathematical Society
- Mathematical Association of America/Kentucky Section Vice-
Chairman, 1979-1983
- Sociedad Matematica de Mexico
Referee For
- Transactions of the American Mathematical Society
- Canadian Bulletin of Mathematics
- Contes Rendues de l'Academie Francaise des Sciences
- Proceedings of the American Mathematical Society
- Journal of Pure and Applied Algebra
- Communications in Algebra
- Manuscripta Mathematica
- Arabian Journal of Science and Engineering
- Acta Mathematica Sinica
- Commentationes Mathematicae Universitatis Carolinae (Prague)
- Houston Journal of Mathematics
- Rendiconti del Seminario Matematico di Padova
- Proceedings of the Edinburgh Mathematical Society
- Czechoslovak Mathematical Journal
- Forum Mathematicum
- Journal of Algebra
- Acta Mathematica Sinica
Reviews For
- Mathematical Reviews
- Zentralblatt fur Mathematik
- National Science Foundation, Proposals
- National Science and Engineering Research Council of Canada
Editor For
- Global Journal of Mathematics and Mathematical Science
International Journal of Pure and Applied Mathematical Sciences
Karachi Journal of Mathematics
Translator For
- National Science Foundation
Awards
- Alumni Association Great Teacher Award, '78 - '79
- Sturgill Award for Contributions to Graduate Education, '89 - '90
|
Undergraduate Courses Taught
| MA
| 108
| R
| Intermediate Algebra
|
| MA
| 109
|
| College Algebra
|
| MA
| 113
|
| Calculus I
|
| MA
| 114
|
| Calculus II
|
| MA
| 213
|
| Calculus III
|
| MA
| 214
|
| Calculus IV
|
| MA
| 223
|
| Applied Intermediate Calculus
|
| MA
| 116
|
| Honors Calculus
|
| MA
| 132
|
| Calculus for the Life Sciences
|
| MA
| 162
|
| Finite Mathematics and Its Applications
|
| MA
| 201
|
| Mathematics for Elementary School Teachers
|
| MA
| 202
|
| Mathematical Problem Solving for
Elementary Teachers
|
| MA
| 240
|
| Introduction to Discrete Computer
Mathematics
|
| MA
| 261
|
| Introduction to Number Theory
|
| MA
| 310
|
| Mathematical Problem Solving for Teachers
|
| MA
| 320
|
| Introductory Probability
|
| MA
| 321
|
| Introduction to Numerical Methods
|
| MA
| 322
|
| Matrix Algebra and its Applications
|
| MA
| 340
|
| Discrete Structures in Computer Science
|
| MA
| 341
|
| Topics in Geometry
|
| MA
| 351
|
| Elementary Topology I
|
| MA
| 361
|
| Elementary Modern Algebra I
|
| MA
| 362
|
| Elementary Modern Algebra II
|
| MA
| 410
| G
| Mathematics for Economists
|
| MA
| 416
| G
| Principles of Operations Research I
|
| MA
| 432
| G
| Methods of Applied Mathematics I
| | | | | | | | | | | | | | | | | | | | | | | | | |
|
Graduate Courses Taught
|
| Modern Algebra
|
|
| Algebraic Topology
|
|
| Homological Algebra
|
|
| Theory of Rings
|
|
| Formal Groups
|
|
| Lie Groups
|
|
| Real Analysis
|
|
| Complex Analysis
|
|
| Homotopy Theory
|
|
| Algebraic Geometry
|
|
| Logic
|
|
| Topological Groups
|
|
| K-Theory
|
|
| Hopf Algebras
|
|
| | | | | | | | | | | | | | |
Invited Addresses
February 1985
University of Freiburg
Freiburg, Germany
|
|
"Pure Injective Envelopes of Flat Modules"
May 1990
University of Murcia
Murcia, Spain
|
|
1) "Covers and Envelopes"
2) "Pure Injective Modules"
June 1990
University of Granada in Almeria
Almeria, Spain
|
|
1) "Covers and Envelopes"
2) "Pure Injective Modules"
September 1993
Conference on Commutative Ring
Aguadulce, Spain
|
|
"Gorenstein Homological Algebra"
March 1994
University of Antwerp
Antwerp, Belgium
|
|
1) "Covers and Envelopes"
2) "Modules over Gorenstein Rings"
3) "Generalized Teichmuller Invariants"
August 1994
Auburn University
Auburn, Alabama
|
|
"Representations of Quivers"
October 1995
Okayama University of Science
Okayama, Japan
|
|
"Modules over a Cohen-Macaulay Ring admitting a
Dualizing Module"
October 1995
Dong - A University
Pusan, Korea
|
|
"Covers and Envelopes"
October 1995
Pusan National University
Pusan, Korea
|
|
"Gorenstein Homological Algebra"
November 1995
Korea University
Seoul, Korea
|
|
"Covers and Envelopes"
November 1995
Kyungpook University
Taegu, Korea
|
|
"Topological Quiver Theory"
November 1995
Sacred Heart University
Bridgeport, Ct.
|
|
"Forty Years since Cartan - Eilenberg"
July 1996
University of Murcia
Murcia, Spain
|
|
"Orthogonality in the Category of Complexes"
March 1997
University of Almeria
Almeria, Spain
|
|
"Auslander's Last Theorem"
January 1998
University of Murcia,
Murcia Spain
|
|
"A Survey of Covers and Envelopes"
July 1999
University of Andes,
Merida, Venezuela
|
|
"A Survey of Covers and Envelopes"
September 1999
Charles University,
Prague, Czech Republic
|
|
"Homological Aspects of Cotorsion Theories"
December 1999
University of Padua
Pudua, Italy
|
|
"The Flat Cover Conjecture and its Solution"
May 2000
University of Almeria
Almeria, Spain
|
|
"Foxby Equivalence and Cotorsion Theories"
July 2000
Dong-A University
Pusan, Korea
|
|
"Foxby Equivalence and Cotorsion Theories"
July 2000
Kyungpook University
Taegu, Korea
|
|
"The Structure of Compact CoGalois Groups"
September 2000
Charles University
Prague, Czech Republic
|
|
"Foxby Equivalence and Cotorsion Theories"
May 2001
Northeastern University
Boston, Massachusetts
|
|
"Compact CoGalois Groups"
May 2002
Institute for Studies in Theoretical Physics and Mathematics
Tehran, Iran
|
|
"Gorestein Flat Modules", "Towards a CoGalois Theory of Covers",
and Cotorsion Theories"
October 2002
Western Kentucky University
Bowling Green, Kentucky
|
|
"CoGalois Groups"
June 2003
The University of Seville
Seville, Spain
|
|
"Compact CoGalois Groups"
June 2003
The University of Almeria
Almeria, Spain
|
|
"Compact CoGalois Groups"
September 2003
The University of the Andes
Merida, Venezuela
|
|
"Coeficientes Binomiales" (the inaugural address
for the XVI Escuela Venezolana de Matematicas)
| | | | | | | | | | | | | | | | | | | | | | | | | | | |
Publications
- 1.
-
Isomorphic refinements of decompositions of a primary group
into closed groups, Bull. Soc. Math. France 91(1963), 63-75.
-
2.
-
Torsion free covering modules, Proc. Amer.Math.Soc.
14(1963), 884-889.
-
3.
-
Homotopy groups of compact abelian groups, Proc. Amer. Math.
Soc. 15(1964), 878-881.
-
4.
-
Extending isomorphisms between basic subgroups, Archiv. der
Math. 15(1964), 175-178.
-
5.
-
A note on reflexive modules, Pacific Journal of Math. 14(1964),
879-888
-
6.
- On lifting automorphisms in primary abelian groups, Archiv. der
Math. 16(1965), 342-343.
-
7.
-
Totally integrally closed rings, Proc. Amer. Math. Soc.,
19(1968),701-706.
-
8.
-
A note on quasi-Frobenius rings, Pacific Journal Math. 24(1968),
69-70.
-
9.
-
A note on the dimension of the ring of entire functions,
Collectanae Math. 20,(1969).
-
10.
-
10 chapter set of mimeographed lecture notes on Linear
Algebra, (with Raoul DeVilliers), 1970.
-
11.
-
Torsion free covering modules II, Archiv. der Math.
22(1971),37- 52.
-
12.
-
Isomorphic polynomial rings, (with Don Coleman), Proc.
Amer. Math. Soc., 27,(1971), 249 -259.
-
13.
-
The epimorphic images of a Dedekind domain, (with Tom Cheatham), Proc.
Amer. Math. Soc., 35,(1972), 37 -42.
-
14.
-
A note on semihereditary rings, Canadian Bull. Math.,
16,(1973), 439 - 440.
-
15.
-
A note on absolutely pure modules, Canadian Bull. Math.
19,(1976), 361 -362.
-
16.
-
A proposition of Bass and the fundamental theorem of
algebraic K-theory, Archiv. der. Math., 49,(1977), 410 -412.
-
17.
-
Injective hulls of flat modules,
(with Tom Cheatham),
Communications in Algebra, 20,(1980), 1989 -1995.
-
18.
-
C-Commutativity, (with Tom Cheatham), Journal
Austral. Math. Soc., (Series A), 30,(1980), 252 -255.
-
19.
-
Injective and flat covers and resolvents, Israel Journal
Math., 39,(1981), 189 -209.
-
20.
-
Regular modules, (with Tom Cheatham), Math. Japonica
26,(1981), 9 -12.
-
21.
-
Rings all of whose torsion quasi-injective modules are
injective, (with Javad Ahsan), Contes Rendues Math. Rep. Acad. Sci.
Canada, 5,(1983), 117 -119.
-
22.
-
Connecting locally compact abelian groups, (with Walt Gerlach),
Proc. Amer. Math. Soc., 89,(1983), 351 -354.
-
23.
-
Rings all of whose torsion quasi-injective modules are injective,
(with Javad Ahsan), Glasgow Math. 25,(1984), 219 -227.
-
24.
-
Flat covers and flat cotorsioin modules, Proc. Amer. Math. Soc.
92,(1984), 179 -184.
-
25.
-
Torsion free injective covers, (with Javad Ahsan), Communications
in Algebra, 12,(1984), 1139 -1146.
-
26.
-
Balanced functors applied to modules, (with Overtoun Jenda),
Journal of Algebra, 92,(1985), 303 -310.
-
27.
-
Rings admitting torsion injective covers, (with Javad Ahsan),
Portugaliae Math. 40,(1985), 257 -261.
- 28.
- Minimal pure injective resolutioons of flat modules, Journal of
Algebra, 105,(1987), 351 -364.
- 29.
- Remarks on commutative noetherian rings whose flat modules
have flat injective envelopes, Math. Portugaliae, 45,(1988),
151 -156.
- 30.
- The structure of injective covers of special modules (with
Overtoun Jenda and Tom Cheatham),
Israel Journal Math.
63,(1988), 237 -242.
- 31.
- Homological properties of pure injective resolutions (with
Overtoun Jenda),
Communications of Algebra, 16,(1988),
2069 -2082.
- 32.
- A modification of Grothendieck's spectral sequence, Nagoya
Math. Journal, 112,(1988), 53 -56.
- 33.
- Minimal pure injective resolutions of complete rings, Math.
Zeitschrift, 200,(1989), 239 -243.
- 34.
- Covers by flat modules and submodules of flat modules,
Journal of Pure and Applied Algebra, 57,(1989), 33 -38.
- 35.
- On the first term in a minimal pure injective resolution,
Mathematica Scandinavica, 65,(1989), 41- 49.
- 36.
- Resolvents and dimensions of modules and rings
(with Overtoun Jenda),
Archiv. der Math., 56,(1991),528 -532.
- 37.
- Copure injective modules, (with Overtoun Jenda), Quaestiones
Mathematicae, 14,(1991), 401 -409.
- 38.
- Trivial formal fibres and formal Laurent series, (with
Overtoun Jenda),
Portugaliae Mathematica, 48,(1991), 253 -258.
- 39.
- Tensor and torsion products of injective modules, (with
Overtoun Jenda), Journal of
Pure and Applied Algebra,
76,(1991), 143 - 149.
- 40.
- h-divisible and cotorsion modules over one-dimensional
Gorenstein rings, (with Overtoun Jenda), Journal of
Algebra, 161,(1993), 444 -454.
- 41.
- Copure injective resolutions, flat resolvents and dimensions
(with Overtoun Jenda),
Comment. Math. Univ. Carolinae,
34,(1993), 203 -211.
- 42.
- Injective covers and resolutions, (with
Overtoun Jenda),
Proceedings of the joint China-Japan Ring Theory Conference,
Guilin, P. R. China, (1993), 42 -45.
- 43.
- The existence of envelopes, (with Overtoun Jenda and
Jinzhong Xu), Rend. Sem. Univ. Padova, 90,(1993), 45 -51.
- 44.
- On Gorenstein injective modules, (with Overtoun Jenda)
Communications in Algebra, 2,(1993), 3489 -3501.
- 45.
- Gorenstein flat modules, (with Overtoun Jenda and
Blas Torrecillas), Journal Nanjing Univ., 10,(1993), 1 -9.
- 46.
- Homological algebra over Gorenstein rings, (with Overtoun
Jenda and Jinzhong Xu), Actos del Congreso Internacional de
Teoria de Anillos, Almeria, Spain, (1993), 24, -30.
- 47.
- Mock Finitely generated modules, (with Overtoun Jenda),
Actos del Congreso Internacional de Teoria de Anillos, Almeria,
Spain, (1993), 31 -39.
- 48.
- The existence of flat covers, (with Richard Belshoff and
Jinzhong Xu), Proc. Amer. Math. Soc., 122,(1994), 985 -991.
- 49.
- On Cohen-Macaulay rings, (with Overtoun Jenda), Comment.
Math. Univ. Carolinae, 35,(1994), 223 -230.
- 50.
- Mock finitely generated Gorenstein injective modules and
isolated singularities, (with Overtoun Jenda), Journal of Pure
and Applied Algebra, 96,(1994), 259 -269.
- 51.
- Gorenstein injective and projective modules, (with Overtoun
Jenda), Mathematische Zeitschrift, 220,(1995), 611 -633.
- 52.
- Gorenstein balance of Hom and Tensor, (with Overtoun
Jenda), Tsukuba Journal Math. 19,(1995), 1 -13.
- 53.
- Resolutions by Gorenstein injective and projective modules
and modules of finite injective dimension over Gorenstein rings,
(with Overtoun Jenda), Communications in Algebra, 23, (1995),
869 -877.
- 54.
- Gorenstein flat preenvelopes and resolvents, (with Overtoun
Jenda), Journal Nanjing Univ., 12,(1995), 1 -9.
- 55
- Complete flat modules, Communications in Algebra,
23,(1995),
4821 -4831.
- 56.
- Modules over a local Cohen-Macaulay ring admitting a dualizing
module, (with Overtoun Jenda and Jinzhong Xu), Proceedings of
the joint Japan-China Ring Theory Conferencec, 1995,
Okayama, Japan, 25 -27.
- 57.
- Gorenstein injective envelopes and essential extensions,
(with Overtoun Jenda), Proceedings of the joint Japan-China Ring
Theory Conference, 1995, Okayama, Japan, 29 -32.
- 58.
- Gorenstein flat covers of modules over Gorenstein rings,
(with Jinzhong Xu), Journal of Algebra, 181, (1996), 288 -313.
- 59.
- When does R Gorenstein imply RG Gorenstein, (with Juan Jose
Garcia and Angel del Rio), Journal of Algebra, 182,(1996),
561 -576.
- 60.
- Gorenstein injective and flat dimensions, (with Overtoun Jenda),
Math. Japonica, 44,(1996)., 261- 268.
-
61.
-
Covers and envelopes over Gorenstein rings, (with Overtoun
Jenda and Jinzhong Xu), Tsukuba Journal Math., 20,(1996),
487-503.
-
62.
-
Foxby duality and Gorenstein injective and projective modules,
Trans. Amer. Math. Soc., (with Overtoun Jenda and Jinzhong
Xu 384,(1996), 3223 -3234.
-
63.
-
On invariants dual to the Bass numbers, (with Jinzhong Xu),
to appear in Proc. Amer. Math. Soc. 125 (1997), 951-960.
- 64.
-
Resolutions by Gorenstein projective and injective modules and modules of
finite injective dimension over Gorenstein rings (with Overtoun Jenda),
Comm. Algebra 23 (1995), 869-877.
- 64.
-
Gorenstein flat preenvelopes and resolvents (with Overtoun Jenda), Nanjing
Daxue Xuebao Shuxue Bannian Kan 12 (1995), 1-9.
- 65.
-
Lifting group representations to maximal Cohen-Macaulay representations (with
Overtoun Jenda and Jinzhong Xu), J. Algebra 188 (1997), 58-68.
- 66.
-
Homology with models and Tor (with Frank Branner), Appl. Cat.
Structures 5 (1997), 123-129.
- 67.
-
Gorenstein injective and projective complexes (with Juan Ramon Garcia Rozas),
Comm. Algebra 26 (1998), 1657-1674.
- 68.
-
Orthogonality in the category of complexes (with Overtoun Jenda and Jinzhong
Xu), Math. J. Okayama Univ. 38 (1997), 25-46.
- 69.
-
Tensor products of complexes (with Juan Ramon Garcia Rozas) Math. J. Okayama
Univ. 38 (1997), 17-39.
- 70.
-
Coherent rings of finite weak global dimension (with Juan Martinez and Alberto
del Valle), Proc. Amer. Math. Soc. 126 (1998), 1611-1620.
- 71.
-
A homotopy of quiver morphisms with applications to representations (with Ivo
Herzog), Canad. J. Math. 51 (1999), 294-308.
- 72.
-
Cyclic quiver rings and polycyclic-by-finite group rings (with Ivo Herzog and
Sangwon Park), Houston J. Math. 25 (1999), 1-13.
- 73.
-
Homotopy groups of connected envelopes of compact abelian groups,
Revue Romaine de Mathematique Pures et Appliques 44 (1999), 207-209.
- 74.
-
Coliftings and Gorenstein injective modules (with Overtoun Jenda),
J. Math. Kyoto Univ. 38 (1998), 241-254.
- 75.
-
Gorenstein injective dimension and Tor-depth of modules (with Overtoun Jenda),
Arch. Math. (Basel) 72 (1999), 107-117.
- 76.
-
Gorenstein injective modules over Gorenstein rings (with Overtoun Jenda), Comm.
Algebra 26 (1998), 3489-3496.
- 77.
-
A generalization of Auslander's last theorem (with Overtoun Jenda and Jinzhong
Xu), J. Algebr.Represent.Theory 2 (1999), 259-268.
- 78.
-
A survey of covers and envelopes (with Overtoun Jenda), to appear in the
proceedings of the conference "Interaction between Ring Theory and the
Representation of Algebras" (Murcia, Spain 1998).
- 79.
-
Covering morphisms (with Juan Ramon Garcia Rozas and Luis Oyonarte), Comm.
Algebra 28 (2000), 3823-3835.
- 80.
-
Exact envelopes of complexes (with Juan Ramon Garcia Rozas), Comm.Algebra
27 (1999), 1615-1627.
- 81.
-
Flat covers of complexes (with Juan Ramon Garcia Rozas), J. Algebra 210
(1998), 86-102.
- 82.
-
Are covering (enveloping) morphisms minimal ? (with Juan Ramon Garcia Rozas
and Luis Oyonarte), Proc.Amer.Math.Soc. 128 (2000), 2863-2868.
- 83.
-
Finitely generated cotorsion modules (with Juan Ramon Garcia Rozas and Luis
Oyonarte), Math.Proc. Edinburgh Math. Soc. 44 (2001), 143-152.
- 84.
-
Generalized Matlis duality (with Richard Belshoff and Juan Ramon Garcia
Rozas), Proc. Amer. Math. Soc. 128 (1999), 1307-1312.
- 85.
-
Compact coGalois groups (with Juan Ramon Garcia Rozas, Overtoun Jenda and
Luis Oyonarte) Math.Proc.Camb.Phil.Soc. 128 (2000), 233-244.
- 86.
-
Gorenstein injective, projective, and flat dimensions over Cohen-Macaulay
rings (with Overtoun Jenda), Contemporary Math., 259 (2000), 175-180.
- 87.
-
lambda and mu - dimensions of modules (with Overtoun Jenda and Luis
Oyonarte), Rend. Sem. Mat. Univ. Padova, 105 (2001), 111-123.
- 88.
-
On D-Gorenstein modules (with Overtoun Jenda), to appear in Interactions
between Ring Theory and Representations of Algebras, Lecture Notes in Pure
and Applied Mathematics Series/210 (2000).
- 89.
-
Divisible envelopes over Gorenstein rings of Krull dimension at most one
(with Hae-Sik Kim and Seog-Hoon Rim), Comm. Algebra 29 (2001), 275-284.
- 90.
-
Gorenstein injective, projective and flat dimensions over Cohen-Macaulay
rings (with Overtoun Jenda), to appear in the Proceedings of the International
Conference on Algebra and its Applications (Athens, Ohio 1999).
- 91.
-
Relative Homological Algebra (with Overtoun Jenda), de Gruyter Expositions
in Mathematics, volume 30, 339 pages (2000).
- 92.
-
Gorenstein Flat Modules (with Juan Antonio Lopez Ramos), Nova Science
Publishers, 117 pages (2001).
- 93.
-
Covers, Envelopes and Cotorsion Theories (with Luis Oyonarte), Nova Science
Publishers, 113 pages (2002).
- 94.
-
The flat cover conjecture and its solution (with Overtoun Jenda), International
Symposium on Ring Theory, 2001, Birkhauser, Berlin.
- 95.
-
All modules have flat covers (with L. Bican, R. El Bashir),
Bull. London Math. Soc. 33(2001), 385-390.
- 96.
-
Envelopes and covers by modules of finite injective and projective dimension
(with S. Tempest Aldrich, Overtoun Jenda and Luis Oyonarte) J.Algebra 242,
447-459 (2001).
- 97.
-
Covers and envelopes in Grothendieck categories:flat covers of complexes with applications (with S. Tempest Aldrich,
Juan Ramon Garcia Rozas and Luis Oyonarte), J.Algebra 243, 615-630 (2001).
- 98.
-
Injective covers over commutative noetherian rings of global dimension at
most two (with Hae-Sik Kim and Yeong-Moo Song), Bulletin of the Korean
Math. Society, 40, 167-176 (2003).
- 99.
-
Flabby envelopes of sheaves (with Luis Oyonarte), Comm. Algebra 29 (2001),
3449-3458.
- 100.
-
Flat covers and flat representations of quivers (with Luis Oyonarte and Blas Torrecillas), Comm. Algebra 32 (2004), 1319-1338.
- 101.
-
Flat covers and cotorsion envelopes of sheaves (with Luis Oyonarte),
Proc. Amer. Math. Soc. 130 (2002), 1285-1292.
- 102.
-
Graded Matlis duality and applications to covers (with Juan Antonio Lopez
Ramos), to appear in Quaestiones Math.
- 103.
-
Derived functors of Hom relative to flat covers (with S. Tempest Aldrich and
Juan Antonio Lopez Ramos), Math. Nachr. 242 (2002), 17-26.
- 104.
-
Kaplansky classes (with Juan Antonio Lopez Ramos), Rend. Sem. Mat.
Univ. Padova 107 (2002), 67-79.
- 105.
-
S-torsion free covers of modules (with H-S. Kim, Y.S. Park and Y-M. Song)
Comm. Algebra 29 (2001), 3285-3292.
- 106.
-
Flat covers in the category of quasi-coherent sheaves over the projective
line (with Sergio Estrada, Juan Ramon Garcia Rozas and Luis Oyonarte),
Comm. Algebra 32 (2004), 1497-1508.
- 107.
-
Foxby equivalence and cotorsion theories relative to semi-dualizing modules
(with Siamak Yassemi), Math. Scand. 94 (2004), 1-11.
- 108.
-
Generalized quasi-coherent sheaves (with Sergio Estrada, Juan Ramon Garcia
Rozas and Luis Oyonarte), J. Algebra and Applications, 2 (2003),63-83.
- 109.
-
On Matlis dualizing modules (with Juan Antonio Lopez-Ramos and Blas Torrecillas),International Journal of Mathematics and Mathematical Sciences 30 (2002),
659-665.
- 110.
-
Flat and cotorsion quasi-coherent sheaves (with Sergio Estrada, Juan Ramon
Garcia Rozas and Luis Oyonarte), to appear in J.Algebra
Represent. Theory.
- 111.
-
Noetherian quivers (with Juan Ramon Garcia Rozas, Luis Oyonarte and Sangwon
Park), Quaestiones Mathematicae 25 (2002), 531-538.
- 112.
-
The Gorenstein injective envelope of the residue field of a local ring (with
Richard Belshoff), to appear in Comm. Algebra.
- 113.
-
Abelian groups which have trivial absolute coGalois groups (with Juan Pablo
Rada Rincon), to appear in Czech. Math. J.
- 114.
-
Conormal morphisms (with Overtoun Jenda, Luis Oyonarte and Juan Ramon Garcia Rozas),
Proceedings of the Royal Society of Edinburgh 133A (2003), 1047-1056.
- 115.
-
Omega-Gorenstein projective and flat covers and omega-Gorenstein injective
envelopes (with Overtoun Jenda), Comm. Algebra 32 (2004), 1453-1470.
- 116.
-
The existence of Gorenstein flat covers (with Overtoun Jenda and Juan Antonio
Lopez Ramos), Math. Scand. 94 (2004), 46-62.
- 117.
-
Relative homological coalgebra (with Juan Antonio Lopez Ramos), to appear in
Acat. Math. Hungarica.
- 118.
-
Flat covers of representations of the quiver A_infty (with Sergio Estrada,
Juan Ramon Garcia Rozas and Luis Oyonarte), the International
Journal of Mathematics and Mathematical Sciences 70 (2003), 4409-4419.
- 119.
-
Recommended Resources in Algebra (with Kristine Fowler) (a chapter in Using
the Mathematics Literature), Marcel Dekker, volume 64 of Books in Library
and Information Science, 2004.
- 120.
-
Dualizing modues, n-perfect rings and Gorenstein (with Overtoun M. G. Jenda
and Juan Antonio Lopez Ramos), to appear in the Proceedings of the Royal
Society of Edinburgh.
- 121.
-
Flat Covers, Handbook of Algebra, Volume 3, Elsevier Science (2003), 343-356.
- 122.
-
Co-Galois groups as products (with Sergio Estrada), submitted.
- 123.
-
Cotorsion theories, Galois and coGalois groups (with Sergio Estrada and
Juan Ramon Garcia Rozas), submitted.
- 124.
-
Binomial coefficients, to appear in Boletin de la Asociacion Matematica
Venezolana.
- 125.
-
Projective representations of quivers (with Sergio Estrada), to appear in
Comm. Algebra.
- 126.
-
Torsion free covers of a generalization of quasi-coherent sheaves (with Sergio
Estrada, Juan Rammon Garcia Rozas and Luis Oyonarte), proceedings of the
first Moroccan-Andalusian conference on algebras and their applications,
Tetouan, Morocco (2001), 150-160.
- 127.
-
Gorenstein injective modules and Ext (with Overtoun Jenda), to appear in
Tsukuba J. Math.
- 128.
-
CoGalois groups as metric spaces (with Sergio Estrada), to appear in Math.
Nachrichten.
- 129.
-
A non-commutative generalization of Auslander's last theorem (with Juan
Antonio Lopez Ramos and Overtoun Jenda), submitted.
- 130.
-
Relative homological algebra in the category
of quasi-coherent sheaves (with Sergio Estrada), to appear
in Adv. in Math.
PhD. Dissertations
-
1.
-
B. Hoyte Maddox, University of South Carolina, 1964,
Absolutely Pure Modules
-
2.
-
W. W. Leonard, University of South Carolina, 1964,
Superfluous Submodules
-
3.
-
Pelham Thomas, University of South Carolina, 1966,
Maximal Spaces
-
4.
-
James Pleasant, University of South Carolina, 1966,
Certain Relations between Objects and Morphisms in a Category
-
5.
-
Arthur Van De Water, University of South Carolina, 1967,
A Property of Modules over Rings with a Left Field of Quotients
-
6.
-
David R. Stone, University of South Carolina, 1968,
Torsion -Free and Divisible Modules over Matrix Rings
-
7.
James R.
Smith, University of South Carolina, 1968,
Local Domains with Topologically T-nilpotent Radical
-
-
8.
-
Joong Ho Kim, University of South Carolina, 1968,
On Complete Local Rings
-
9.
-
Conduff Childress, University of South Carolina, 1969,
Quotients of Hom and Torsionness
-
10.
-
C. Bruce Myers, University of Kentucky, 1970,
F-Torsionless and F-Reflexive Modules
-
11.
-
Ann F. Bowe, University of Kentucky, 1970,
Some Aspects of Small Modules
-
12.
-
James J. Bowe, University of Kentucky, 1970,
Neat Homorphisms
-
13.
Thomas J.
Cheatham, University of Kentucky, 1971.
Finite Dimensional Rings and Torsion Free Covers
-
-
14.
-
Cary H. Webb, University of Kentucky, 1972
Tensor and Direct Product
-
15.
-
Roger D. Warren, University of Kentucky, 1972,
Free A-Rings
-
16.
Frank D.
Cheatham,University of Kentucky, 1972, F-Absolutely Pure Modules
-
-
17.
-
David D. Berry, University of Kentucly, 1975,
S-Purity
-
18.
-
David D. Adams, University of Kentucky, 1978,
Absolutly Pure Modules
-
19.
-
James Patterson, III., University of Kentucky, 1979,
(X,Y)-Divisible Modules Over Commutative Rings
-
20.
-
Peter McCoart Joyce, University of Kentucky, 1979,
Dual Numbers and Finite Abelian Groups
-
21.
-
Walter P. Gerlach, University of Kentucky, 1980,
Connecting Locally Compact Abelian Groups
-
22.
Overtoun M.G.
Jenda, University of Kentucky, 1981,
On Injective Resolvents
-
-
23.
Richarrd G.
Belshoff, University of Kentucky, 1990,
On Matlis Reflexive Modules
-
-
24.
-
Mark A. Goddard, University of Kentucky, 1990,
Minimal Projective Resolutions of Complexes
-
25.
-
Frank Branner, University of Kentucky, 1991,
On the Projective Functor
-
26.
-
Victor K. A. Akatsa, University of Kentucky, 1991,
Flat Envelopes and Negative Torsion Functors
-
27.
-
Sangwon Park, University of Kentucky, 1991,
The Macaulay-Northcott Functor
-
28.
-
Vivian Cyrus, University of Kentucky, 1994,
The Category of Monoids
-
29.
-
Clayton Brooks, University of Kentucky, 1994,
Homotopy Theory of Modules
-
30.
-
Albert Bronstein, University of Kentucky, 1995,
On the Representation of Quivers
-
31.
-
Okyeon Yi, University of Kentucky, 1996
Local Nilpotence of Envelopes and Universal Enveloping
Algebras
-
32.
-
Jinzhong Xu, University of Kentucky, 1997,
Flat Covers of Modules
- 33.
-
Christopher Anthony Aubuchon,
University of Kentucky, 1997,
A Natural Functor from the category of Complexes
of Left R-modules to the Category left R ( epsilon )-Modules
- 34.
-
William Todd Ashby,
University of Kentucky, 1998,
The Characterization of Graded Principal Ideal Domains
and Graded Torsion Free Covering Modules
- 35.
-
David W. Dempsey,
University of Kentucky, 2000,
Functors and the Preservation of Covers and Envelopes
- 36.
-
Julia Varbalow,
University of Kentucky, 2000,
Injective and Projective Representations of Quivers
- 37.
-
Makhmud Sagandykov,
University of Kentucky, 2000,
On Homological Structures of Transformation Groups
- 38.
-
Stephen T. Aldrich,
University of Kentucky, 2000,
Exact and Semisimple Differential Graded Algebras and Modules
- 39.
-
Naveed Zaman,
University of Kentucky, 2000,
Minimal Generators
- 40.
-
Chris Bullock,
University of Kentucky, 2001,
On Chain Numbers
Master's Theses
-
1.
-
W.W. Leonard, University of South Carolina, 1962,
Projective Covers of Compact Topological Spaces
-
2.
-
Sherman Louie, University of South Carolina, 1964,
Abelian Groups
-
3.
-
Joong Ho Kim, University of South Carolina, 1965,
Automorphisms of Formal Power Series Rings
-
4.
-
Marda Stribling, University of Kentucky, 1986,
Minimal Embeddings of Finite Groups into Sm
Students