有关纯子模结构研究

Research on the Structure of Pure Submodule

讨论了模M的τ–挠根Tτ(M)的结构。利用Tτ(M)作为模M的τ–纯子模的最小性得出结论:Tτ(M)为M的所有τ–纯子模的交。

This paper discusses the problem of the structure of τ –torsion radical Tτ（M）.Depending on the theory that τ –torsion radical Tτ（M） of M which is the minimum τ –pure submodule,it draw the conclusion： Tτ（M）is the intersection of all the τ –pure submodules of M.