Fields of Interest: Algebra and Algebraic Coding Theory
Selected
Publications:
When is
a semilocal group algebra continuous
(with S. K. Jain, and J. B. Srivastava), J. Algebra, 312 (2007), 152
- 157.
Group algebras in which complements are summands (with Adel
Alahmadi, S. K. Jain, and J. B. Srivastava). Fundamental and Applied
Mathematics (Fundamentalnaya i Parikladnaya Matematika), 11 (2005),
3-11(in Russian), Journal of Mathematical Sciences, 144 (2) (2007),
3875-3880.
Nonsingular CS-rings coincide with tight pp rings (with K. I.
Beidar, and S. K. Jain), J. Algebra, 282 (2004), 626-637.
Semilocal CS-matrix rings of order > 1 over group algebras of
solvable groups are selfinjective (with K. I. Beidar, S. K. Jain and J.
B. Srivastava), J. Algebra, 275 (2004), 856 – 858.
CS-matrix rings over local rings (with K. I. Beidar, S. K. Jain
and J. B. Srivastava), J. Algebra, 264 (2003), 251 – 261.
Survey of some recent results on CS-group algebras and open questions
(with S. K. Jain and J. B. Srivastava), Advances in Algebra, Proceedings ICM
Satellite Conference in Algebra and Related Topics, World Scientific,
(August 2002).
A Decomposition Theorem for Hereditary Quasi-Continuous Rings,
East-West J. of Mathematics, 3 (2001), 33 – 35.
Quadratic residue codes over the integers moduloqm,
Algebra and its Applications, Contemporary Math, Amer. Math. Soc. 259
(2000), 299 - 312.
Nonsingular semiperfect CS-rings II (with S. K. Jain and Sergio
R. López-Permouth), Bull. London Math. Soc. 32 (2000), 421 - 431.
KD¥ is a
CS-algebra (with S. K. Jain, S. Malik and J. B. Srivastava), Proc. Amer.
Math. Soc. 128 (2000), no. 2, 397- 400.
A simple ring over which proper cyclics are continuous is a PCI-ring
(with S. Barthwal and S. Jhingan), Canad. Math. Bull. 41 (1998), 261
- 266.
Nonsingular semiperfect CS-rings (with S. Barthwal, S. K. Jain
and Sergio R. López-Permouth), J. Algebra 203 (1998), 361 - 373.
Cyclic
codes over the integers modulopm (with Sergio. R. López-Permouth), Finite Fields and
Applications 3 (1997), 334 - 352.
Other
Professional Activities:
Member,
Center of Ring Theory and Applications, Ohio University.
Member, American Mathematical Society, The Mathematical Association of
America, Indian Mathematical Society, Indian Science Congress.
Co-organizer, International Conference on Rings and Things, Ohio
University-Zanesville, Ohio (Summer 2007).
Abstract Coordinator, International Conference on Algebra and its
Applications, Ohio University, Athens, Ohio (Spring 2005).
Co-organizer, 11th
Association for University Regional Campus of Ohio conference, Ohio
University-Zanesville, Ohio (Spring 2005).
Co-organized Special Session on Theory of Rings and Modules at
AMS meeting # 995, Ohio University, Athens, Ohio (March 2004).
Grants and Awards:
Received National Security Agency (NSA) Grant for organizing
International Conference on Rings and Modules.
Recognized by Ohio Magazine forcontributions and
dedication to achieving Excellence in Education for 2004.
Received Regional Higher Education Outstanding Professor Award.
Received 1804 Fund Award.
Received
Dean’s Outstanding Teaching Assistant Award, Ohio University.