环的理想作成极大理想与素理想的若干条件

Some Condition on the Ring Ideal Creating Maximum Ideal and Prime Ideal

给出了环的理想作成极大理想与素理想的若干条件，并讨论了此二类理想之间的关系．

In this paper, we give some conditions on the ring ideal, which creates the maximum ideal and prime ideal, and discuss the relation between the maximum ideal and prime ideal.