The discussion on algebraic properties of polynomial matrices

By using the results about polynomial matrix in the system and control theory, this paper gives some discussions about the algebraic properties of polynomial matrices. The obtained main results include that the ring of nxn polynomial matrices is a principal ideal, and principal one-sided ideal ring. Project supported by the Doctoral Programme from the State Education Commission China, the National Natural Science Foundation of China (69574001) and the Inner Mongolia Natural Science Foundation (950308)