CURRICULUM VITAE

Sergio Roberto López-Permouth, Ph. D., North Carolina State University, 1985.

I.          PROFESSIONAL EXPERIENCE

Full Professor: Department of Mathematics Ohio University, 1996-present.

Chairman: Department of Mathematics, Ohio University, 1996-1999.

Associate Professor: Department of Mathematics Ohio University, 1992-1996.

Visiting Professor: Universidad del Valle de Guatemala, Guatemala, winter 1994-95.

Visiting Member: Centre de Recerca Matematica (Barcelona), November 1991, summer 1992 and summer 1993.

Assistant Professor: Department of Mathematics, Ohio University, 1986-1992.

II.          PUBLICATIONS

1. Representation Theory of Set Operations in Context-Free Languages, Category Theory Meeting, Oberwolfach, W. Germany, September 1983, Seminarberichte der Fern Universitat Hagen, No. 19, 1984, pp. 251-274. (with G. Frank, D. Latch, and D. Stanat)
2. A generalization of the Wedderburn-Artin Theorem, Proceedings American Mathematical Society 106 (1), 19-23 (1989).(With S.K. Jain)
3. Quasi-Frobenius rings and generalizations, Israel Mathematical Conference Proceedings, Vol. 1 (Editor: Louis Rowen), The Weizmann Science Press of Israel (Distributed in the U.S. by the American Mathematical Society), 1989, pp. 119-123.
4. Rings whose cyclics are essentially embeddable in Projective Modules, Journal of Algebra 128 (1), 257-269 (1990). (with S. K. Jain)
5. Categories of Fuzzy Modules, Information Sciences 52, 211-220 (1990).(With D.S. Malik)
6. Continuous Rings with ACC on Essentials are Artinian, Proceedings American Mathematical Society 108 (3), 583-586 (1990). (With S. K. Jain, and S.T. Rizvi)
7. On the weak relative-injectivity of rings and modules, Proceedings Athens, OH, 1989, Lecture Notes in Mathematics #1448, Springer Verlag, Heidelberg, pp. 93-98 (1990).(With A.H. Al-Huzali and S. K. Jain)
8. S.R. López-Permouth, A characterization of uniserial rings via continuous modules, Journal Australian Mathematical Society (Series A) 50, 197-203 (1991). (With S. K. Jain and S.T. Rizvi)
9. QI-filters and tight modules, Communications in Algebra 19 (8), 2217-2229 (1991). (with J.S. Golan)
10. Lifting Morita Equivalence to Categories of Fuzzy Modules, in Information Sciences 64, 191-201 (1992).
11. On a class of QI-rings, Glasgow Mathematics Journal 34, 75-81 (1992).(with S. K. Jain and S. Singh)
12. Rings whose cyclics have finite Goldie dimension, Journal of Algebra 153, 37-40 (1992).(with A.H. Al-Huzali and S. K. Jain)
13. On the weak-injectivity of rings and modules, Osaka Journal of Mathematics 29, 75-87 (1992).(with A.H. Al-Huzali and S. K. Jain)
14. Rings characterized by their weakly injective modules, Glasgow Mathematics Journal 34, 349-353 (1992).
15. On certain classes of QI rings, Methods in Module Theory,  Lecture Notes in Pure and Applied Math 140, Marcel Dekker, New York, 227-235 (1992).(with S.T. Rizvi)
16. Some characterizations of semiprime Goldie rings, Glasgow Math J. 35, 357-365 (1993).(with S.T. Rizvi and M.F. Yousif)
17. Weakly Projective Modules, Ring Theory, World Scientific Press, New Jersey, 200-208 (1993). (with S.K. Jain and M. A. Saleh)
18. A survey on the theory of weakly injective modules, Computational Algebra, Lecture Notes in Pure and Applied Mathematics 121, Marcel Dekker, New York, (1994) 205-232.(with S.K. Jain)
19. Weakly projective and weakly injective modules, Can. J. Math 46 (1994) 971-981.(with S.K. Jain, K. Oshiro and M.A. Saleh)
20. Weakly-injective modules over hereditary noetherian prime rings, J. Aust. Math Soc. 58 (Series A), 287-297 (1995).(with S.K. Jain)
21. Superfluous Covers, Comm. in Alg. 23 (5), 1663-1677 (1995).(with S.K. Jain and L.H. Rowen)
22. Mutual injective hulls, Canad. Math. Bull. 39(1), 68-73 (1996). (With S.K. Jain and S.R. Syed)
23. On weakly injective continuous modules in "Abelian Groups and Modules", Marcel Dekker, 385-391 (1996). (With D.V. Huynh and S.K. Jain)
24. When is a simple ring noetherian? Journal of Algebra 184(2), 786-794 (1996). (With D.V. Huynh and S.K. Jain)
25. On a class of non-noetherian V-rings, Communications in Algebra 34(9) 2839-2850, (1996). (With D.V. Huynh and S.K. Jain)
26. On relatively continuous modules, Communications in Algebra 26(11), 3497-3510, (1998). (With S.T. Rizvi and K. Oshiro)
27. An example of a Morita context in which every right ideal is weakly self injective, in "Advances in Ring Theory", Birkhauser, Boston, Basel, Berlin (1997) 31-38 (with Barthwal, Jain, and Kanwar)
28. Cyclic codes over the integers modulo p^m, Finite Fields and their Applications 3 (1997) 334-352 (with P.K. Kanwar)
29. The encoder design of a new Trellis-coded modulation with State permutation structure, in proceedings of the 4^th international symposium on Communication Theory and Applications (Ambleside, UK, July 1997), IEEE (1997) 59-63 (with Yung-Chen Lo, Chang Lin Chen, and Jeffrey Dill).
30. Nonsingular semiperfect CS-rings, J. Alg. 203, 361-373 (1998) (with Barthwal, Jain, and Kanwar.)
31. Rings with quasi-continuous right ideals, Glasgow Math Journal 41, 167-181 (1999)(With S.K. Jain and S.R. Syed)
32. Nonsingular semiperfect CS-rings II, Bull. London Math. Soc. 32, 421-431(2000)  (with S.K. Jain and Pramod Kanwar).
33. On the symmetry of Goldie and CS conditions for prime rings, Proc. Amer. Math. Soc. 128 (11), 3153-3157 (2000) (with D.V. Huynh and S.K. Jain)
34. Rings characterized by direct sums of CS-modules, Communications in Algebra 28(9) 4219-4222 (2000) (with D.V. Huynh and S.K. Jain).
35. On a Trellis Coded Modulation Design with a Strong Tail Biting Constraint, in Proceedings of International Conference on Telecommunications 2000 (Acapulco, MEXICO, 21-24 May 2000) (with A.R. Lindsey, and J.C. Dill)
36. A Group Theoretic Generalization of Circular Trellis Coded Modulation, Proceedings of SPIE Digital Wireless Communication Conference, Orlando, FL, April 2001, pp. 47-56 (with J.E. Curry, A.R. Lindsey and J.C. Dill).
37. Prime Goldie rings of uniform at least two and with all one-sided ideals CS are semihereditary, Comm. Algebra 31, (11), 5355-5360 (2003) (with D.V. Huynh and S.K. Jain).

38.  When cyclic singular modules over a simple ring are injective. Journal of Algebra 263(2) 188-192 (2003) (with D.V. Huynh and S.K. Jain).

39. On the equivalence of Codes over Finite Rings, Applicable Algebra in Engineering, Communication and Computing 15 37-50 (2004) (with Hai Q. Dinh).

40. Codes over finite chain rings, IEEE Transactions in Information Theory, Vol 50, No. 8 1728-1744 (2004) (with Hai Q. Dinh).  

41.  On the Equivalence of Codes over Rings and Modules, Finite Fields and their Applications 10 615-625 (2004) (with Hai Q. Dinh).

42.  Kasch modules and pV-rings, Algebra Colloquium 12 (2005) No. 3, 243-251 (with K. P. Shum and N.V. Sanh)

43.  On generalized q.f.d. modules. Arch. Math. (Brno) 41 (2005), no. 3, 243--251. (with S.K. Jain and M. Saleh)

44.  On the role of rings and modules in algebraic coding theory. Groups, rings and group rings, 205--216, Lect. Notes Pure Appl. Math., 248, Chapman & Hall/CRC, Boca Raton, FL, 2006 (with M. Greferath.)

45.  On the Goldie dimension of Rings and Modules, to appear in Journal of Algebra (with Guil Asensio and Hai Q. Dinh.)

III.                  BOOKS

• Non-commutative Ring Theory, Proceedings Athens, OH, 1989, Lecture Notes in Mathematics 1448, Springer-Verlag, Heidelberg, (1990). (with S. K. Jain)
• Algebra and its Applications: International Conference Algebra and its Applications March 25-28, 1999, Ohio University, Athens, Contemporary Mathematics 259, American Mathematical Society, 569 pages. (2000) (with D.V. Huynh and S.K. Jain).
• Algebra and its Applications: International Conference Algebra and its Applications March  2005, Ohio University, Athens, Contemporary Mathematics 259, American Mathematical Society, to appear (with D.V. Huynh and S.K. Jain).

IV.                EDITORIAL WORK FOR JOURNALS

• Journal of Algebra and its Applications, Scientific World Press.  Founding Executive Editor: 2002-present.
• Advances in Mathematics of Communications, American Institute of Mathematical Sciences, Founding Member of the Editorial Board, 2006-present.
• East West Journal of Mathematics, Member of the Editorial Board, 2001-present.
• Revista de Matemática, CIMPA-Escuela de Matemáticas, Universidad de Costa Rica, Member of the Editorial Board, 2000-present.

V.                  CONFERENCES AND SPECIAL SESSIONS ORGANIZED

• Midwest non-commutative ring theory conference at Ohio University, Athens (September 1989).
• Special Session on Noncommutative Ring Theory, AMS-SMM meeting, Mérida, Yucatán, MEXICO, (December 1993).
• Special session on Associative Rings, AMS-SMM meeting, Guanajuato, Guanajuato, MEXICO (December 1995).
• Special session on Associative Rings and Category Theory, AMS-SMM meeting, Oaxaca, MEXICO (December 1997.)
• International Conference on Algebra and its Applications, Athens, OH, (March 1999)
• Special session on Ring Theory, AMS-SMM meeting, Denton, Texas (May 1999.)
• Special session on Ring Theory, AMS-SMM meeting, Morelia, Mexico (May 2001)
• Special session on Ring Theory, AMS-RSME meeting, Seville, Spain (June 2003)
• Special session on Coding Theory, AMS regional meeting, Athens, Ohio (March 2004)
• Special session on Ring Theory, AMS-SMM meeting, Houston, Texas (May 2004).
• International Conference on Algebra and its Applications, Athens, OH (March 2005).
• Special session on Modules and Co-modules, AMS-DMV-OMG joint meeting, Mainz, Germany (June 2005).

VI.                Seven Ph. D. students directed at Ohio University.

VII.               PARTICIPATION AT PROFESSIONAL WORKSHOPS

·         Microprogram on Noncommutative Ring Theory at Mathematical Sciences Research Institute, Berkeley, California, July 1989.

·         Seminar on Polynomial identities and invariants of n x n matrices at De Paul University, Chicago, Illinois, July 1990.

·         Workshop on Finite dimensional Algebras.  University of Utah, Salt Lake City, Utah, August 1991.

·         International Conference on Finite Fields.  University of Nevada, Las Vegas, Nevada, August 1991.

·         10th International Symposium, AAECC-10, San Juan de Puerto Rico, Puerto Rico, May 1993.

·         Methods in Module and Ring Theory, Oberwolfach, Germany, July 1993.

·         Teaching Abstract Algebra with Computers, West Lafayette, Indiana, June 1994.

·         CIMPA-CIMI-INRIA School on Codes, Cryptography and Information Theory, Nice, France, September 1994.

·         AMS Short course on Algebraic Coding Theory, San Francisco, California, January 1995.

·         MAA workshop on the teaching of Discrete Mathematics, San Francisco, California, January 1995.

·         AMS Workshop for Chairs of Mathematics Departments, Baltimore, Maryland, January 1997.

·         Thirteenth annual Department Chairs Colloquium, Washington, D.C., November 1998.

·         IMA workshop on Codes, Systems and Graphical Models, Minneapolis, Minnesota, August 1999.

·         GMAC/ETS workshop on evaluation, test development and adaptation.  Princeton, NJ, December 2001.

·         MSRI Microprogram on Information Theory, Mathematical Sciences Research Institute, Berkeley, California, February 2002.

VIII.             OTHER PROFESSIONAL ACTIVITIES

·         Reviewer for Math Reviews and Zentralblatt.

·         Refereed papers for Australian Journal of Mathematics, Chinese Journal of Mathematics, Communications in Algebra, International Journal of Information Sciences, Journal of Fuzzy Sets and Systems and various publications of the IEEE.

·         Refereed papers for several Proceedings Volumes for Kluwer Academic Publishers, Marcel Dekker, Springer-Verlag, Birkhauser and World Scientific Press.

·         External examiner of Ph.D. thesis for University of Aligarh, Aligarh, INDIA.

·         Undergraduate thesis advisor for two students at Universidad del Valle de Guatemala.

·         Refereed grant proposals for Natural Sciences and Engineering Research Council of Canada.

·         External examiner for Master’s thesis in Universidad Nacional Autonoma de Mexico.

·         External examiner for Master’s thesis in Universidad de Murcia, Spain.

·         External examiner for doctoral dissertation in Universidad de Almeria, Spain.

·         Panelist for NSF programs: 2003, 2004 and 2005.

IX.                GRANTS AND EXTERNAL RESEARCH SUPPORT

·         High dimensional TCM using M-ary orthogonal signals, United States Air Force Research Laboratory, March 18-September 30, 1999. $13,000.00.

·         High dimensional TCM using M-ary orthogonal signals (renewal), United States Air Force Research Laboratory, October 1, 1999-June 30, 2000. $12,000.00.

X.                  PROFESSIONAL ASSOCIATIONS

·         American Mathematical Society (AMS)

XI.                PATENT

·         Apparatus and Method of CTCM encoding and decoding for a digital communication system (with Jeff Dill et al) U.S. Patent Number 7010052, March 2006.