几种特殊根

SEVERAI SPECIAL RADICALS

在本文中,我们首先借助于近似诸零根和广义诸零根的模刻划分别证明近似诸零根和广义诸零根为特殊根。然后,引进环的 PM-根和 PM-本原环的概念,PM-根是特殊根,最后讨论全矩阵环的 PM-根和 PM-本原性。

In this paper,we first prove that the near nil radical and the generalizednil radical are sepcial by use of the module-theoretic characterization of thenear nil radical and the generalized nil radical resp.Next,we introduce thePM radical of ring and the PM-pimitive ring.The PM-radical is special.Finally,we discuss PM radical PM primitive property of the full matrix ring.