结合环类中的E-单环

E-Simple Rings in the Class of All Associative Rings

中文关键词:  根  幂等环  幂零

英文关键词:radical  idempotent ring  nilpotent ring.

中文摘要:

      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．

英文摘要:

      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^2α=0 for some ordinal number α.