摘要
通过引入次拟强幂零理想的概念,定义Г—环的次拟强幂零根,证明它与文[1]定义的拟强幂零根均为Amitsur-Kurosh根,且二者相等。文中给出了拟强幂零半单Г—环的构造命题,得到了拟强幂零根的Г—模刻划。
The subquasi-strongly nilpotent radical for every Г-ring is defined bythe concept of subquasi-strongly nilpotent ideal and Which is proved being equal to qua-si-strongly nilpotent redical and, moreover, being Amitsur-Kurosh radical. The structure theo-rem of semisimple Г-rings and characterization by Г-module for quasi-strongly nilpotentradical are obtained respectively.
出处
《黑龙江大学自然科学学报》
CAS
1997年第1期17-19,23,共4页
Journal of Natural Science of Heilongjiang University
基金
黑龙江省教委科研基金