右迁移单和迁移单的迁移线性半群

On Right t-simple and t-simple Transitive Linear Semigroups

研究了由迁移作用于有限维向量空间上的线性变换组成的半群,得到了右迁移单迁移半群和迁移群的关系,给出了极小1秩迁移单半群的刻画.

The semigroups of linear transformations which act transitively on a finite-dimensional vector space is considered. We obtain the relation between the right t-simple transitive semigroup and the transitive groups. A characterization of rank 1 t-simple transitive semigroup is also given.