Γ—环根的模刻划

THE DESCRIPTION OF THE RADICALS OF THE г-RINGS BY MODULE

本文引进了Γ—环的素模、Levitzki—素模的N—素模的概念,利用它们分别对Γ—环的素根,Levitzki—根和诣零根进行了模刻划,同时也给出了这些根的素理想刻划。

In this paper, concepts of the prime module, the Levitzki prime module and the N-prime module in г-rings are introduced, and with these concepts, the prime radical, the Levitzki nil radical and the nil radical for г-rings are described. Meanwhile, a prime ideal description of these radicals is given.