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


Experience


University Service


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