结合环类中的E-单环

E Simple Rings in the Class of All Associative Rings

在全部结合环类中，对幂等根Ｅ，定义了Ｅ－单环．本文给出Ｅ－单环的一个刻画．

In the class of all associative rings we defined E simple ring for idempotent radical class E . It is proved that R is E simple ring iff for any I,0≠IR,I≠R,I 2 α =0 for some ordinal number α.