# Jingjing Ma

Permanent URI for this collectionhttps://hdl.handle.net/10657.1/2413

Dr. Jingjing Ma is a department chair of Mathematics and Statistics and Professor of Mathematics at University of Houston-Clear Lake. Dr. Ma's research interest is Lattice-ordered Rings and Algebras. G. Birkhoff and R.S. Pierce first established the general theory for lattice-ordered rings 50 years ago. But there is no good structure theory available for general lattice-ordered rings mainly because the condition connecting multiplication and lattice operations is too weak. Currently I am working on a class of lattice-ordered rings and algebras that contains some important examples in lattice-ordered rings such as lattice-ordered polynomial rings, lattice-ordered matrix and triangular matrix algebras, lattice-ordered group and twisted group algebras, all with standard lattice orders. Those examples are faraway from being f -rings. A general good structure theory is expected to obtain for this class of lattice-ordered rings and algebras. If you are interested in doing research in this direction or other problems in general lattice-ordered rings, please contact him.