摘要
本文中证明了如下主要结果：1对于准正则环R，下面条件是等价的：（1）R是强正则环；（2）R是约化的；（3）R是半交换环；（4）R是左双环；（5）R的幂等元都是中心幂等元．2R是强正则的当且仅当R的不分解南环是拟左（右）duo准正规的．
In this paper,We prove the following main resu1ts:l. For a quasi-regular ring R,the following conditions are equivalent: (1)R is a strong- regular ring: (2)R is a reduced ring i (3)R is a semi -commutative ring l (4)R is left duo l(5)each idempotent of R is im the cehtre.2. A ring R is strong -regular if the imcompsable factor rings of R are Qrasi -regularand left qrasi -duo.
