相关于遗传挠理论的纯子模

Pure Submodule of Relatively Hereditary Torsion Theory

本文首先利用模M的τ—挠根Tτ(M)作为τ—纯子模的最小性给出了Tτ(M)的又一种结构描述;利用子模的τ—纯度的概念对τ—纯子模进行了刻画;最后给出τ—本质子模的等价命题,并研究了其特性.

In the paper,depending on τ - torsion radical Tτ(M) of M which is the minimum τ-pure submodule we give a structure of Tτ(M);Ussng the τ-purifcation of submodule we study some properties of τ-pure subnodule;lastly,we prove somo equivalence properties of τ-essential submodule.