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Rizvi, Syed

Office:Lima (Lima)
Phone:419-995-8211 (Lima)
Email:

OSU ID:rizvi.1
Research Areas:Structure of Rings and Modules. Injective/projective modules and their various generalizations. Baer Modules and Rings. Rickart Modules. Ring and Module Hulls and their applications.
Theory of Rings and Modules

Office Hours
by appointment

Selected Publications

  1. Properties of Injective Hulls of a Ring Having a Compatible Ring Structure” (with B.L. Osofsky, J.K. Park) Glasgow Math Journal Volume 52A-121-138 (4) (2010)
  2. A Theory of Hulls for Rings and Modules (with G. F. Birkenmeier and J. K. Park), Ring and Module Theory, Trends in Mathematics, Birkhauser-Verlag Basel, 7–51, (2010)
  3. Principally quasi-Baer Ring Hulls (with G.F. Birkenmeier and J. K. Park), Advances in Ring Theory Trends in Mathematics, Birhauser, Boston, 47-61 (2010)
  4. Hulls of Ring Extensions (with G. F. Birkenmeier and J. K. Park), Canadian Math. Bull.,Volume 53, 587-601 (2010)
  5. Direct Sums of Baer Modules (with C.S. Roman), Journal of Algebra, Volume 321, 682–696 (2009)
  6. Injective Hulls with Distinct Ring Structures (with G. F. Birkenmeier, B. L. Osofsky & J. K. Park), Journal of Pure and Applied Algebra, Vol 213, 732-736 (2009)
  7. Hulls of Semiprime Rings with Applications to C*-Algebras (with G. F. Birkenmeier & J. K. Park), Journal of Algebra, Vol 322, 327-352, (2009)
  8. An Example of Osofsky and Essential Overrings (with G. F. Birkenmeier & J. K. Park), Contemporary Math., Vol 480, Amer. Math. Soc., Providence, RI, 13-33, (2009)
  9. Modules with FI-Extending Hulls (with G. F. Birkenmeier & J. K. Park), Glasgow Math. Journal, Volume 51, 347-357, (2009)
  10. An Affirmative Answer to a Question on Noetherian Rings (with D.V. Huynh), Journal of Algebra and its Applications, Volume 7, Issue 1, 47-59 (2008)
  11. On Triangulating Dimension of Rings (with G. F. Birkenmeier & J. K. Park), Communications in Algebra, Volume 36, Issue 4, 1520-1526 (2008)
  12. On K-nonsingular Modules and Applications (with C.S. Roman), Communications in Algebra, Volume 35, Issue 9, 2960–2982 (2007)
  13. An Essential Extension with Nonisomorphic Ring Structures II (with G. F. Birkenmeier & J. K. Park), Communications in Algebra, Volume 35, Issue 12, 3986–4004, (2007)
  14. Characterizing Rings by a Direct Decomposition Property of their Modules (with D.V. Huynh), Journal of Australian Math Society, Volume 80, 1-8 (2006)
  15. Ring Hulls and Applications (with G. F. Birkenmeier & J. K. Park), Journal of Algebra, Volume 304 (2006), 633–665
  16. An Essential Extension with Nonisomorphic Ring Extensions (with G. F. Birkenmeier & J. K. Park), Algebra and its Applications, AMS Contemp. Math., Volume 419 (2006), 29-48
  17. Extensions of Generalized Armendariz Rings (with T. K. Kwak and C. Y. Hong), Algebra Colloquium, Volume 13, Number 2, (2006) 253-266
  18. Baer and Quasi-Baer Modules(with C.S. Roman), Comm. in Algebra, Volume 32, No. 1 (2004), 103-123.
  19. Modules in which every Fully Invariant Submodule is Essential in a Direct Summand (with G. F. Birkenmeier & B. J. Mueller), Comm. in Algebra,30(3) (2002), 1395-1415.
  20. Generalized Triangular Matrix Rings and the Fully Invariant Extending Property (with G. F. Birkenmeier & J. K. Park), Rocky Mountain Journal of Mathematics, Volume 32 (2002), 1299 - 1319.
  21. On Some Classes of Artinian Rings (with D.V. Huynh), J. Algebra 223 (2000),133-153.
  22. An Approach to Boyle's Conjecture (with D.V. Huynh), Proc. Edinburgh Math Soc, Volume 40(1997), 267-273.
  23. The Exchange Property of Quasi-Continuous Modules with the Finite Exchange Property (with K. Oshiro), Osaka J. Math., Volume 33(1996), 217-234
  24. Continuous Rings with ACC on Essentials are Artinian (with S.K. Jain & S.R. Lopez-Permouth), Proc. Amer. Math. Soc. 108(1990), 583-586.
  25. Commutative Rings for which Every Continuous Module is Quasi-injective, Arch. der Math. 50(1988), 435-442.