In this paper some properties of the rings satisfying a special ascending chain condition for right annihilators, and some relations to left, ringt perfect rings and QF righs are discussed; As an application of Goldie theorem, a condition is given for a prime ideal is a completely prime ideal in this class of rings.
本文讨论了满足右零化子特殊升链条件的环的性质以及与左、右完备环,QF-环的关系;给出了满足右零化子特殊升链条件的环中素理想是完全素理想的条件,从而给出了Goldie定理的一个应用。
Ideal constraint can be divided into complete ideal constraint or incomplete ideal constraint according as generalized ideal constraint forces equal to zero or not.
对于理想约束,按照广义理想约束力是否为零,把理想约束分为完全理想约束和不完全理想约束。