摘要
本文利用零化子，闭理想以及环的半素性和非奇异性给出了强双正则环和双正则环的内部刻划，并改进了一些结果。
In this paper,several equivalent conditions of biregular rings are giventhrough annihilators,prime rings,singular ideals and close ideals.
关键词
强双正则环
双正则环
零化子
半素环
环
结合环
Strongly biregular ring,biregular ring,annihilators, maximal essentialideal,prime ring,non-singular ring.
