Circulant Matrix And Idenpotent Matrix

In this thesis, we devote to discuss the special matrix over the special semiring. This dissertation consists of four chapters. First, we introduce the background correlative and the development of research, also we show the main result. In the second chapter, We introduce some basic concepts of semigroup, group, poset, lattice, semiring and semiring matrix, and introduce four definitions of special semiring matrix. In chapter three, we investigate the circulant matrix, and obtain a necessary and sufficient condition of the primitivity of reverse circulant matrix and the idenpotentivity of circulant matrix. The final chapter mainly concerns about incline matrix. We obtain some property on incline matrix and we also show how to construt an idenpotent incline matrix. Which generalize the conclusion over fuzzy matrix.