（Inco） Projective Modules of Relatively Hereditary Torsion Theroy

In the paper, we define(inco) project modules of relatively hereditary torsion theory Υ by intersection complement of module and study their properties; secondly, we define the(inco) Υ-semisimple ring by(inco) Υ-projective module and study their properties. When Υ is a trivial torsion theory on R-rood, we prove that R is a semisimple ring if and only if R is a(inco) semisimple ring and satisfies(inco) condition.     

一类特殊矩阵可对角化的判别及特征向量的求法

讨论了仅有两个互异的特征根的n阶方阵的可对角化的问题及特征向量的一种简单求法.     

The Cotorsionfree Radical of Relatively Torsion Theory

Letτbe a torsion theory on R-mod and M be a left R-mod. In this paper theτ-cotorsionfree radical Cτ(M) of M is studied. When r is stable, the construction and the supplementing radical of Cτ(M) are obtained.