My primary and current research work is in the general spirit of algebras of logic, universal algebras, non-classical algebras, the non-classical logic including fuzzy algebra, fuzzy logic, hyper structures, and applications. My secondary area of interest on division algebras and the Brauer groups. It has been and continue to be my goal to introduce undergraduate students to Mathematical research. I strongly believe that doing so will stimulate more desire in students to study Mathematics.
Stone MV-algebras and strongly complete MV-algebras, Algebra Univers. (2017) .
Converse of Lagrange's theorem (CLT) numbers under 1000, Int. J. Group. Th, (2017)
(with C. Lele) The Chang-Mundici ℓ-group of a BL-algebra, Houston J. Math,(2016)
Profinite MV-algebras and multisets., Order (2015)
(with O Heubo) Invertible elements in BCK-algebras, Italian J. Pure Appl. Math (2014)
(with C. Lele) MV-algebras derived from ideals in BL-algebras, Fuzzy set and syt (2013).
How rare are subgroups of index 2? Math. Mag. (2012)
On the Dec group of finite abelian Galois extensions over global fields, J. Algebra (2009)
OVP Diversity Summer research grant $5,000 (2014-2016)