In this paper, the application of typical groups over rings and the intersection of matrix theory and algebraic combinatorial theory in the field of algebra are deeply studied Specifically, he has achieved good research results in the aspects of matrix classification and authentication code construction of typical groups over rings, and the study of matrix generalized inverse theory of matrix theory, and presided over two provincial-level funded scientific research projects. One is the project supported by the Provincial Natural Science Foundation (1040 1), the matrix, polynomial classification and subspace inclusion relations and their applications (1 1,000 yuan, April-May, 2006), and the other is the classification and application of special matrices on the finite local ring Z/pkZ supported by the Hainan Provincial Education Department, and the identity of matrix semigroups. In recent five years, the host He has published more than ten papers in core journals such as Journal of Mathematical Physics, Journal of Mathematics, Journal of Northeast Normal University and Practice and Understanding of Mathematics. In July, 2006, an academic monograph "Classification and Application of Special Matrices over Galois Rings" with 225,000 words was published independently, among which I was the first author in Journal of Mathematical Physics (No.3, 2004) and. Many published papers were excerpted by American Mathematical Review and China Mathematical Abstracts, and were cited by many authors.